{"id":93111,"date":"2026-08-11T23:33:03","date_gmt":"2026-08-11T15:33:03","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/93111.html"},"modified":"2026-08-11T23:33:03","modified_gmt":"2026-08-11T15:33:03","slug":"vio%e5%af%bc%e8%88%aa-%e7%ac%ac-03-%e7%af%87-%c2%b7-%e7%89%b9%e5%be%81%e7%82%b9%e6%8f%90%e5%8f%96%e4%b8%8e%e5%85%89%e6%b5%81%e8%b7%9f%e8%b8%aa","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/93111.html","title":{"rendered":"VIO\u5bfc\u822a--\u7b2c 03 \u7bc7 \u00b7 \u7279\u5f81\u70b9\u63d0\u53d6\u4e0e\u5149\u6d41\u8ddf\u8e2a"},"content":{"rendered":"<h3>\u00b7 \u672c\u7bc7\u4f60\u5c06\u5b66\u5230<\/h3>\n<li>\n<p>Shi-Tomasi \u89d2\u70b9\u5224\u636e\u4e0e Harris \u7684\u5173\u7cfb&#xff0c;\u4ee5\u53ca goodFeaturesToTrack \u7684\u4f5c\u7528&#xff1b;<\/p>\n<\/li>\n<li>\n<p>KLT \u91d1\u5b57\u5854\u5149\u6d41\u7684\u4eae\u5ea6\u6052\u5b9a\u5047\u8bbe\u4e0e Lucas-Kanade \u65b9\u7a0b&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u6b63\u53cd\u5411\u5149\u6d41\u6821\u9a8c&#xff08;FLOW_BACK&#xff09;\u5982\u4f55\u5254\u9664\u5916\u70b9&#xff1b;<\/p>\n<\/li>\n<li>\n<p>Mask \u63a9\u819c\u6cd5\u5982\u4f55\u8ba9\u7279\u5f81\u5728\u56fe\u50cf\u4e0a\u5747\u5300\u5206\u5e03\u3001\u4e14\u4f18\u5148\u4fdd\u7559\u957f\u5bff\u547d\u70b9&#xff1b;<\/p>\n<\/li>\n<li>\n<p>trackImage \u5168\u6d41\u7a0b\u7cbe\u8bfb&#xff0c;\u4ee5\u53ca featureFrame 7 \u7ef4 [x,y,z,u,v,vx,vy] \u7684\u771f\u5b9e\u6765\u6e90\u3002<\/p>\n<\/li>\n<hr \/>\n<h3>\u4e00\u3001\u524d\u7aef\u89c6\u89c9\u7684\u4f5c\u7528\u4e0e\u6311\u6218<\/h3>\n<p>VIO \u540e\u7aef\u4f18\u5316\u7684\u89c6\u89c9\u6b8b\u5dee&#xff0c;\u9700\u8981\u7684\u662f\u300c\u540c\u4e00\u4e2a\u7269\u7406\u70b9\u5728\u591a\u5e27\u95f4\u7684\u89c2\u6d4b\u5bf9\u5e94\u300d\u3002\u524d\u7aef&#xff08;feature tracker&#xff09;\u7684\u804c\u8d23\u5c31\u662f\u5efa\u7acb\u8fd9\u79cd\u5bf9\u5e94&#xff1a;\u8f93\u5165\u4e00\u4e32\u7070\u5ea6\u56fe&#xff0c;\u8f93\u51fa\u6bcf\u5e27\u4e2d\u82e5\u5e72\u7279\u5f81\u70b9\u7684\u5f52\u4e00\u5316\u5750\u6807\u4e0e\u552f\u4e00 ID&#xff0c;\u8ba9\u540e\u7aef\u77e5\u9053\u300c\u7b2c 5 \u5e27\u7684 37 \u53f7\u70b9\u300d\u548c\u300c\u7b2c 6 \u5e27\u7684 37 \u53f7\u70b9\u300d\u662f\u540c\u4e00\u4e2a\u4e16\u754c\u70b9\u3002<\/p>\n<p>\u6311\u6218\u6709\u4e09&#xff1a;\u2460\u63d0\u53d6\u2013\u54ea\u4e9b\u50cf\u7d20\u9002\u5408\u957f\u671f\u8ddf\u8e2a&#xff08;\u89d2\u70b9\u4f18\u4e8e\u5e73\u5766\u533a\u57df&#xff09;&#xff1b;\u2461\u8ddf\u8e2a\u2013\u5df2\u77e5\u4e0a\u4e00\u5e27\u89d2\u70b9&#xff0c;\u5982\u4f55\u5728\u5f53\u524d\u5e27\u627e\u5230\u5bf9\u5e94&#xff08;\u5149\u6d41&#xff09;&#xff1b;\u2462\u7ba1\u7406\u2013\u7279\u5f81\u8981\u5206\u5e03\u5747\u5300\u3001\u4e22\u5931\u8981\u53ca\u65f6\u8865\u5145\u3001\u5916\u70b9\u8981\u5254\u9664\u3002VINS \u7684\u524d\u7aef\u7528 Shi-Tomasi \u89d2\u70b9 &#043; KLT \u5149\u6d41 &#043; Mask \u5747\u5300\u5316\u4e09\u4ef6\u5957\u89e3\u51b3\u3002<\/p>\n<p>\u67b6\u6784\u5dee\u5f02\u63d0\u9192&#xff1a;\u539f\u7248 VINS-Mono \u7684\u524d\u7aef\u5165\u53e3\u53eb readImage&#xff08;\u8fd4\u56de void&#xff0c;featureFrame \u5728 ROS \u5c42\u6784\u5efa&#xff09;&#xff1b;VINS-Fusion \u91cd\u6784\u4e3a trackImage&#xff08;feature_tracker.cpp:94&#xff09;&#xff0c;\u76f4\u63a5\u8fd4\u56de featureFrame\u3002\u672c\u7cfb\u5217\u4ee5 VINS-Fusion \u4ee3\u7801\u4e3a\u51c6&#xff0c;\u7cbe\u8bfb trackImage\u3002<\/p>\n<hr \/>\n<h3>\u4e8c\u3001Shi-Tomasi \u89d2\u70b9\u63d0\u53d6<\/h3>\n<h4>2.1 \u4e3a\u4ec0\u4e48\u662f\u89d2\u70b9&#xff1f;<\/h4>\n<p>\u7279\u5f81\u8ddf\u8e2a\u4f9d\u8d56\u300c\u90bb\u57df\u7eb9\u7406\u300d\u3002\u5e73\u5766\u533a\u57df&#xff08;\u5982\u767d\u5899&#xff09;\u5404\u65b9\u5411\u68af\u5ea6\u90fd\u5c0f&#xff0c;\u65e0\u6cd5\u5b9a\u4f4d&#xff1b;\u8fb9\u7f18&#xff08;\u5982\u684c\u6cbf&#xff09;\u53ea\u6709\u4e00\u4e2a\u65b9\u5411\u6709\u68af\u5ea6&#xff0c;\u6cbf\u8fb9\u7f18\u65b9\u5411\u5b58\u5728\u5b54\u5f84\u95ee\u9898&#xff08;\u5149\u6d41\u53ea\u80fd\u6c42\u51fa\u4e00\u4e2a\u5206\u91cf&#xff09;&#xff1b;\u53ea\u6709\u89d2\u70b9&#xff08;\u5982\u5899\u89d2&#xff09;\u4e24\u4e2a\u65b9\u5411\u90fd\u6709\u5f3a\u68af\u5ea6&#xff0c;\u624d\u80fd\u88ab\u552f\u4e00\u3001\u7a33\u5b9a\u5730\u8ddf\u8e2a\u3002<\/p>\n<h4>2.2 \u7ed3\u6784\u5f20\u91cf\u4e0e\u89d2\u70b9\u54cd\u5e94<\/h4>\n<p>\u5bf9\u6bcf\u4e2a\u50cf\u7d20\u53d6\u90bb\u57df\u7a97\u53e3&#xff0c;\u8ba1\u7b97\u56fe\u50cf\u68af\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Ix,IyI_x, I_y<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6784\u9020\u7ed3\u6784\u5f20\u91cf&#xff08;\u4e8c\u9636\u77e9\u77e9\u9635&#xff09;&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">M&#061;\u2211(x,y)\u2208W[Ix2IxIyIxIyIy2]<br \/>\nM &#061; \\\\sum_{(x,y)\\\\in W} \\\\begin{bmatrix} I_x^2 &amp; I_x I_y \\\\\\\\ I_x I_y &amp; I_y^2 \\\\end{bmatrix}<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.9776em;vertical-align: -1.516em\"><\/span><span class=\"mop op-limits\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.05em\"><span class=\"\" style=\"top: -1.809em;margin-left: 0em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mpunct mtight\">,<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mclose mtight\">)<\/span><span class=\"mrel mtight\">\u2208<\/span><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">W<\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -3.05em\"><span class=\"pstrut\" style=\"height: 3.05em\"><\/span><span class=\"\"><span class=\"mop op-symbol large-op\">\u2211<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.516em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4616em\"><span class=\"\" style=\"top: -3.6216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.4216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9616em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4616em\"><span class=\"\" style=\"top: -3.6216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.4216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9616em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MM<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span> \u7684\u4e24\u4e2a\u7279\u5f81\u503c <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bb1,\u03bb2\\\\lambda_1, \\\\lambda_2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u63cf\u8ff0\u4e86\u7a97\u53e3\u5728\u4e24\u4e2a\u4e3b\u65b9\u5411\u4e0a\u7684\u7070\u5ea6\u53d8\u5316\u5f3a\u5ea6&#xff1a;<\/p>\n<table>\n<tr>\u533a\u57df<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u03bb1,\u03bb2\\\\lambda_1, \\\\lambda_2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8889em;vertical-align: -0.1944em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u542b\u4e49<\/tr>\n<tbody>\n<tr>\n<td>\u5e73\u5766<\/td>\n<td>\u90fd\u5f88\u5c0f<\/td>\n<td>\u65e0\u7eb9\u7406&#xff0c;\u4e0d\u53ef\u8ddf\u8e2a<\/td>\n<\/tr>\n<tr>\n<td>\u8fb9\u7f18<\/td>\n<td>\u4e00\u5927\u4e00\u5c0f<\/td>\n<td>\u5355\u5411\u68af\u5ea6&#xff0c;\u5b54\u5f84\u95ee\u9898<\/td>\n<\/tr>\n<tr>\n<td>\u89d2\u70b9<\/td>\n<td>\u90fd\u5f88\u5927<\/td>\n<td>\u53cc\u5411\u68af\u5ea6&#xff0c;\u53ef\u7a33\u5b9a\u8ddf\u8e2a<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Harris \u89d2\u70b9\u54cd\u5e94\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">R&#061;\u03bb1\u03bb2\u2212k(\u03bb1&#043;\u03bb2)2R &#061; \\\\lambda_1\\\\lambda_2 &#8211; k(\\\\lambda_1&#043;\\\\lambda_2)^2<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8444em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0641em;vertical-align: -0.25em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4f9d\u8d56\u7ecf\u9a8c\u53c2\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kk<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span>\u3002Shi-Tomasi&#xff08;\u5373 goodFeaturesToTrack \u7528\u7684 cv::GOODS_FROM_EIGEN&#xff09;\u76f4\u63a5\u53d6\u66f4\u7a33\u5065\u7684\u5224\u636e&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">R&#061;min\u2061(\u03bb1,\u03bb2)&gt;\u03c4<br \/>\nR &#061; \\\\min(\\\\lambda_1, \\\\lambda_2) &gt; \\\\tau<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0077em\">R<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mop\">min<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">\u03bb<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3011em\"><span class=\"\" style=\"top: -2.55em;margin-left: 0em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&gt;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1132em\">\u03c4<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u65e0\u9700\u8c03 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">kk<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4e14\u4e0e\u300c\u6700\u5c0f\u7279\u5f81\u503c\u8d8a\u5927\u8d8a\u7a33\u5b9a\u300d\u7684\u76f4\u89c9\u4e00\u81f4\u3002\u4ee3\u7801\u91cc&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:184<\/span><\/p>\n<p>cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">goodFeaturesToTrack<\/span><span class=\"token punctuation\">(<\/span>cur_img<span class=\"token punctuation\">,<\/span> n_pts<span class=\"token punctuation\">,<\/span> MAX_CNT <span class=\"token operator\">&#8211;<\/span> cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.01<\/span><span class=\"token punctuation\">,<\/span> MIN_DIST<span class=\"token punctuation\">,<\/span> mask<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u53c2\u6570\u4f9d\u6b21&#xff1a;\u56fe\u50cf\u3001\u8f93\u51fa\u70b9\u3001\u6700\u5927\u6570\u91cf&#xff08;MAX_CNT&#061;150 \u51cf\u53bb\u5df2\u8ddf\u8e2a\u6570&#xff09;\u3001\u8d28\u91cf\u7b49\u7ea7 0.01\u3001\u70b9\u95f4\u6700\u5c0f\u8ddd\u79bb MIN_DIST&#061;30\u3001\u63a9\u819c mask\u3002\u63a9\u819c\u7684\u4f5c\u7528\u4e0b\u4e00\u8282\u8bb2\u3002<\/p>\n<hr \/>\n<h3>\u4e09\u3001KLT \u7a00\u758f\u5149\u6d41\u8ddf\u8e2a<\/h3>\n<h4>3.1 \u4eae\u5ea6\u6052\u5b9a\u5047\u8bbe<\/h4>\n<p>Lucas-Kanade \u5149\u6d41\u7684\u6838\u5fc3\u5047\u8bbe&#xff1a;\u540c\u4e00\u4e2a\u70b9\u5728\u76f8\u90bb\u5e27\u95f4\u4eae\u5ea6\u4e0d\u53d8&#xff0c;\u4e14\u90bb\u57df\u5185\u6240\u6709\u70b9\u8fd0\u52a8\u4e00\u81f4&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">I(x,y,t)&#061;I(x&#043;u,y&#043;v,t&#043;1)<br \/>\nI(x, y, t) &#061; I(x&#043;u, y&#043;v, t&#043;1)<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8095em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5bf9\u53f3\u8fb9\u505a\u4e00\u9636\u6cf0\u52d2\u5c55\u5f00&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">I(x&#043;u,y&#043;v,t&#043;1)\u2248I(x,y,t)&#043;Ixu&#043;Iyv&#043;It<br \/>\nI(x&#043;u,y&#043;v,t&#043;1) \\\\approx I(x,y,t) &#043; I_x u &#043; I_y v &#043; I_t<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7778em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8095em;vertical-align: -0.1944em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2248<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">t<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.9694em;vertical-align: -0.2861em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u4ee3\u5165\u6052\u7b49\u5f0f\u5f97 Lucas-Kanade \u65b9\u7a0b&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">[IxIy][uv]&#061;\u2212It<br \/>\n\\\\begin{bmatrix} I_x &amp; I_y \\\\end{bmatrix} \\\\begin{bmatrix} u \\\\\\\\ v \\\\end{bmatrix} &#061; -I_t<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 2.4em;vertical-align: -0.95em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em\"><span class=\"\" style=\"top: -3.01em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.85em\"><span class=\"\" style=\"top: -3.01em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.35em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size1\">]<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.45em\"><span class=\"\" style=\"top: -3.61em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">u<\/span><\/span><\/span><span class=\"\" style=\"top: -2.41em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.95em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em;vertical-align: -0.15em\"><\/span><span class=\"mord\">\u2212<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u90bb\u57df\u5185 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u70b9\u53e0\u52a0&#xff08;\u6bcf\u4e2a\u70b9\u4e00\u4e2a\u65b9\u7a0b&#xff09;&#xff0c;\u5f97\u5230\u8d85\u5b9a\u65b9\u7a0b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">Ad&#061;bA\\\\mathbf{d} &#061; \\\\mathbf{b}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mord mathbf\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathbf\">b<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5176\u4e2d <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">d&#061;[u,v]T\\\\mathbf{d}&#061;[u,v]^T<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathbf\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0913em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mclose\"><span class=\"mclose\">]<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">AA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span> \u7684\u6bcf\u884c\u662f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">[Ix,Iy][I_x, I_y]<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0361em;vertical-align: -0.2861em\"><\/span><span class=\"mopen\">[<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">]<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u6700\u5c0f\u4e8c\u4e58\u89e3\u4e3a&#xff1a;<\/p>\n<p><span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">d&#061;(ATA)\u22121ATb,ATA&#061;\u2211[Ix2IxIyIxIyIy2]&#061;M<br \/>\n\\\\mathbf{d} &#061; (A^T A)^{-1} A^T \\\\mathbf{b}, \\\\qquad A^T A &#061; \\\\sum \\\\begin{bmatrix} I_x^2 &amp; I_x I_y \\\\\\\\ I_x I_y &amp; I_y^2 \\\\end{bmatrix} &#061; M<br \/>\n<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6944em\"><\/span><span class=\"mord mathbf\">d<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.1413em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mclose\"><span class=\"mclose\">)<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8641em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mtight\">\u2212<\/span><span class=\"mord mtight\">1<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathbf\">b<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 2em\"><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8913em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 2.4231em;vertical-align: -0.9616em\"><\/span><span class=\"mop op-symbol large-op\" style=\"position: relative;top: 0em\">\u2211<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">[<\/span><\/span><span class=\"mord\"><span class=\"mtable\"><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4616em\"><span class=\"\" style=\"top: -3.6216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.247em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.4216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9616em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"arraycolsep\" style=\"width: 0.5em\"><\/span><span class=\"col-align-c\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.4616em\"><span class=\"\" style=\"top: -3.6216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">x<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em\"><span class=\"\" style=\"top: -2.55em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2861em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"\" style=\"top: -2.4216em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">I<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -2.453em;margin-left: -0.0785em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0359em\">y<\/span><\/span><\/span><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.3831em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.9616em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size3\">]<\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u6ce8\u610f <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">ATAA^TA<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8413em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\">A<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8413em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.1389em\">T<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mord mathnormal\">A<\/span><\/span><\/span><\/span><\/span> \u6b63\u662f\u4e0a\u4e00\u8282\u7684\u7ed3\u6784\u5f20\u91cf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MM<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span>\u2013\u89d2\u70b9\u5904 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MM<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span> \u53ef\u9006&#xff0c;\u5149\u6d41\u53ef\u89e3&#xff1b;\u8fb9\u7f18\/\u5e73\u5766\u5904 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">MM<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6833em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.109em\">M<\/span><\/span><\/span><\/span><\/span> \u5947\u5f02&#xff0c;\u5149\u6d41\u4e0d\u53ef\u9760\u3002\u8fd9\u5c31\u662f\u300c\u8ddf\u8e2a\u8981\u9009\u89d2\u70b9\u300d\u7684\u6570\u5b66\u6839\u56e0\u3002<\/p>\n<h4>3.2 \u56fe\u50cf\u91d1\u5b57\u5854&#xff1a;\u89e3\u51b3\u5927\u4f4d\u79fb<\/h4>\n<p>\u5355\u5c42\u5149\u6d41\u5047\u8bbe\u4f4d\u79fb\u5c0f&#xff08;\u4e00\u9636\u6cf0\u52d2\u6709\u6548&#xff09;\u3002\u76f8\u673a\u5feb\u901f\u8fd0\u52a8\u65f6\u7279\u5f81\u4f4d\u79fb\u51e0\u5341\u50cf\u7d20&#xff0c;\u5355\u5c42\u76f4\u63a5\u5931\u8d25\u3002\u91d1\u5b57\u5854\u5149\u6d41&#xff08;calcOpticalFlowPyrLK&#xff09;\u4ece\u6700\u7c97\u5c42\u5f00\u59cb\u4f30\u8ba1\u5927\u4f4d\u79fb&#xff0c;\u9010\u5c42\u7ec6\u5316\u5230\u539f\u56fe&#xff0c;\u628a\u300c\u5927\u4f4d\u79fb\u300d\u62c6\u6210\u591a\u6b21\u300c\u5c0f\u4f4d\u79fb\u300d\u3002<\/p>\n<p>\u4ee3\u7801\u91cc\u7b2c\u4e09\u4e2a\u91d1\u5b57\u5854\u5c42\u6570\u53c2\u6570\u662f\u5173\u952e&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:133  \u5e38\u89c4\u8ddf\u8e2a&#xff1a;3 \u5c42\u91d1\u5b57\u5854<\/span><br \/>\ncv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">calcOpticalFlowPyrLK<\/span><span class=\"token punctuation\">(<\/span>prev_img<span class=\"token punctuation\">,<\/span> cur_img<span class=\"token punctuation\">,<\/span> prev_pts<span class=\"token punctuation\">,<\/span> cur_pts<span class=\"token punctuation\">,<\/span> status<span class=\"token punctuation\">,<\/span> err<span class=\"token punctuation\">,<\/span> cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">Size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">21<\/span><span class=\"token punctuation\">,<\/span><span class=\"token number\">21<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">3<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u7a97\u53e3 21\u00d721&#xff0c;\u91d1\u5b57\u5854 3 \u5c42\u3002<\/p>\n<h4>3.3 \u6b63\u53cd\u5411\u6821\u9a8c&#xff1a;\u5254\u9664\u5916\u70b9<\/h4>\n<p>\u5149\u6d41\u53ef\u80fd\u8ddf\u4e22\u6216\u8ddf\u9519&#xff08;\u5982\u8fd0\u52a8\u6a21\u7cca\u3001\u906e\u6321&#xff09;\u3002VINS \u7528\u524d\u5411&#043;\u53cd\u5411\u53cc\u5411\u5149\u6d41\u6821\u9a8c&#xff08;FLOW_BACK&#061;1&#xff0c;yaml:41&#xff09;&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:135-151<\/span><br \/>\n<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>FLOW_BACK<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    vector<span class=\"token operator\">&lt;<\/span>cv<span class=\"token double-colon punctuation\">::<\/span>Point2f<span class=\"token operator\">&gt;<\/span> reverse_pts <span class=\"token operator\">&#061;<\/span> prev_pts<span class=\"token punctuation\">;<\/span><br \/>\n    cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">calcOpticalFlowPyrLK<\/span><span class=\"token punctuation\">(<\/span>cur_img<span class=\"token punctuation\">,<\/span> prev_img<span class=\"token punctuation\">,<\/span> cur_pts<span class=\"token punctuation\">,<\/span> reverse_pts<span class=\"token punctuation\">,<\/span> <span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">.<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u53cd\u5411<\/span><br \/>\n    <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span>size_t i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> status<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n        <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>status<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> reverse_status<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&amp;&amp;<\/span> <span class=\"token function\">distance<\/span><span class=\"token punctuation\">(<\/span>prev_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> reverse_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&lt;&#061;<\/span> <span class=\"token number\">0.5<\/span><span class=\"token punctuation\">)<\/span><br \/>\n            status<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>        <span class=\"token comment\">\/\/ \u6b63\u5411\u5230\u5f53\u524d\u5e27&#xff0c;\u518d\u53cd\u5411\u56de\u4e0a\u4e00\u5e27&#xff0c;\u82e5\u56de\u5230\u539f\u4f4d\u5219\u53ef\u4fe1<\/span><br \/>\n        <span class=\"token keyword\">else<\/span><br \/>\n            status<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>        <span class=\"token comment\">\/\/ \u5426\u5219\u5224\u4e3a\u5916\u70b9\u5254\u9664<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<p>\u76f4\u89c9&#xff1a;\u4ece A \u8ddf\u5230 B&#xff0c;\u518d\u4ece B \u53cd\u5411\u8ddf\u56de&#xff0c;\u82e5\u843d\u5728 A \u9644\u8fd1&#xff08;\u9608\u503c 0.5 \u50cf\u7d20&#xff09;\u5219\u8be5\u5339\u914d\u81ea\u6d3d\u53ef\u4fe1\u3002\u8fd9\u662f\u4e00\u4e2a\u96f6\u6210\u672c\u7684\u5916\u70b9\u5254\u9664\u6280\u5de7&#xff0c;\u6bd4 RANSAC \u8f7b\u91cf\u3002<\/p>\n<p>\u4ee3\u7801\u7ec6\u8282&#xff1a;feature_tracker.cpp:169 \u7684 rejectWithF()&#xff08;\u57fa\u7840\u77e9\u9635 RANSAC&#xff09;\u88ab\u6ce8\u91ca\u6389\u4e86&#xff0c;VINS-Fusion \u9ed8\u8ba4\u53ea\u9760\u53cc\u5411\u5149\u6d41\u5254\u70b9&#xff0c;\u4e0d\u518d\u505a F \u77e9\u9635 RANSAC\u3002rejectWithF \u51fd\u6570\u4f53&#xff08;:308&#xff09;\u4ecd\u4fdd\u7559&#xff0c;\u9700\u8981\u65f6\u53ef\u6253\u5f00\u3002\u8fd9\u662f VINS-Fusion \u76f8\u5bf9\u539f\u7248\u7684\u7b80\u5316\u3002<\/p>\n<hr \/>\n<h3>\u56db\u3001\u7279\u5f81\u5747\u5300\u5316&#xff1a;Mask \u63a9\u819c\u6cd5<\/h3>\n<p>\u5982\u679c\u4e0d\u52a0\u7ea6\u675f&#xff0c;goodFeaturesToTrack \u4f1a\u5728\u7eb9\u7406\u5bc6\u96c6\u5904\u624e\u5806\u63d0\u53d6&#xff0c;\u5bfc\u81f4\u7279\u5f81\u5206\u5e03\u4e0d\u5747\u3001\u67d0\u4e9b\u533a\u57df\u65e0\u89c2\u6d4b\u3002VINS \u7528\u63a9\u819c\u89e3\u51b3&#xff0c;\u4e14\u505a\u5f97\u66f4\u806a\u660e\u2013\u4f18\u5148\u4fdd\u7559\u8ddf\u8e2a\u5bff\u547d\u957f\u7684\u70b9\u3002<\/p>\n<h4>\u3010\u51fd\u6570\u3011feature_tracker.cpp:55 void setMask()<\/h4>\n<p>\u4f5c\u7528&#xff1a;\u6784\u5efa\u63a9\u819c&#xff0c;\u8ba9\u65b0\u68c0\u6d4b\u7684\u89d2\u70b9\u65e2\u4e0d\u4e0e\u5df2\u6709\u70b9\u8fc7\u8fd1&#xff0c;\u53c8\u4f18\u5148\u4fdd\u7559\u957f\u5bff\u547d\u70b9\u3002<\/p>\n<p>\u6838\u5fc3\u4ee3\u7801&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:57<\/span><\/p>\n<p>mask <span class=\"token operator\">&#061;<\/span> cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">Mat<\/span><span class=\"token punctuation\">(<\/span>row<span class=\"token punctuation\">,<\/span> col<span class=\"token punctuation\">,<\/span> CV_8UC1<span class=\"token punctuation\">,<\/span> cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">Scalar<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">255<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u5168 255&#061;\u5141\u8bb8\u68c0\u6d4b<\/span><\/p>\n<p><span class=\"token comment\">\/\/ :60-68  \u6309 track_cnt \u964d\u5e8f\u6392\u5217 (\u8ddf\u8e2a\u6b21\u6570, (\u70b9\u5750\u6807, id))<\/span><\/p>\n<p>vector<span class=\"token operator\">&lt;<\/span>pair<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token punctuation\">,<\/span> pair<span class=\"token operator\">&lt;<\/span>cv<span class=\"token double-colon punctuation\">::<\/span>Point2f<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;&gt;<\/span><span class=\"token operator\">&gt;<\/span> cnt_pts_id<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">unsigned<\/span> <span class=\"token keyword\">int<\/span> i <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;<\/span> cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    cnt_pts_id<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span><span class=\"token function\">make_pair<\/span><span class=\"token punctuation\">(<\/span>track_cnt<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token function\">make_pair<\/span><span class=\"token punctuation\">(<\/span>cur_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> ids<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token function\">sort<\/span><span class=\"token punctuation\">(<\/span>cnt_pts_id<span class=\"token punctuation\">.<\/span><span class=\"token function\">begin<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> cnt_pts_id<span class=\"token punctuation\">.<\/span><span class=\"token function\">end<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span><\/p>\n<p>     <span class=\"token punctuation\">[<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">auto<\/span> <span class=\"token operator\">&amp;<\/span>a<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">const<\/span> <span class=\"token keyword\">auto<\/span> <span class=\"token operator\">&amp;<\/span>b<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">{<\/span> <span class=\"token keyword\">return<\/span> a<span class=\"token punctuation\">.<\/span>first <span class=\"token operator\">&gt;<\/span> b<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">;<\/span> <span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token comment\">\/\/ :70-83  \u6e05\u7a7a\u540e\u6309\u5bff\u547d\u4ece\u957f\u5230\u77ed\u91cd\u65b0\u653e\u56de&#xff0c;\u6bcf\u4e2a\u70b9\u5468\u56f4 MIN_DIST \u8303\u56f4\u5185\u7f6e 0<\/span><\/p>\n<p>cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">clear<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> ids<span class=\"token punctuation\">.<\/span><span class=\"token function\">clear<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> track_cnt<span class=\"token punctuation\">.<\/span><span class=\"token function\">clear<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> <span class=\"token operator\">&amp;<\/span>it <span class=\"token operator\">:<\/span> cnt_pts_id<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><\/p>\n<p>    <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>mask<span class=\"token punctuation\">.<\/span><span class=\"token generic-function\"><span class=\"token function\">at<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span>uchar<span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">&#061;&#061;<\/span> <span class=\"token number\">255<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span>      <span class=\"token comment\">\/\/ \u8be5\u4f4d\u7f6e\u4ecd\u5141\u8bb8<\/span><\/p>\n<p>        cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        ids<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        track_cnt<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>it<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>        cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">circle<\/span><span class=\"token punctuation\">(<\/span>mask<span class=\"token punctuation\">,<\/span> it<span class=\"token punctuation\">.<\/span>second<span class=\"token punctuation\">.<\/span>first<span class=\"token punctuation\">,<\/span> MIN_DIST<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u5468\u56f4\u753b\u9ed1&#xff0c;\u7981\u6b62\u518d\u6324\u5165<\/span><\/p>\n<p>    <span class=\"token punctuation\">}<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p>\u9010\u884c\u6ce8\u91ca&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u63a9\u819c\u521d\u59cb\u5168\u767d&#xff08;255&#xff09;&#xff0c;\u8868\u793a\u300c\u5168\u56fe\u5141\u8bb8\u68c0\u6d4b\u65b0\u70b9\u300d&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u6309 track_cnt \u964d\u5e8f\u6392\u5e8f\u662f\u5173\u952e\u8bbe\u8ba1&#xff1a;\u8ddf\u8e2a\u6b21\u6570\u591a &#061; \u5bff\u547d\u957f &#061; \u8d28\u91cf\u9ad8&#xff0c;\u4f18\u5148\u5360\u4f4d\u3002\u5bff\u547d\u77ed\u7684\u70b9\u82e5\u843d\u5728\u957f\u5bff\u547d\u70b9\u7684 MIN_DIST \u90bb\u57df\u5185&#xff0c;\u4f1a\u88ab\u6324\u6389&#xff1b;<\/p>\n<\/li>\n<li>\n<p>cv::circle(mask, pt, MIN_DIST, 0, -1) \u5728\u5df2\u4fdd\u7559\u70b9\u5468\u56f4\u753b\u534a\u5f84 MIN_DIST&#061;30 \u7684\u9ed1\u5706&#xff08;0&#061;\u7981\u6b62&#xff09;&#xff0c;\u4fdd\u8bc1\u540e\u7eed\u65b0\u70b9\u4e0e\u4e4b\u81f3\u5c11\u76f8\u8ddd 30 \u50cf\u7d20&#xff0c;\u5b9e\u73b0\u7a7a\u95f4\u5747\u5300\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u8fd9\u6837 goodFeaturesToTrack \u4f20\u5165\u8be5 mask \u540e&#xff0c;\u53ea\u4f1a\u5728\u300c\u672a\u88ab\u5360\u7528\u300d\u7684\u533a\u57df\u8865\u65b0\u70b9&#xff0c;\u4e14\u8865\u7684\u70b9\u5929\u7136\u8fdc\u79bb\u8001\u70b9\u3002<\/p>\n<hr \/>\n<h3>\u4e94\u3001\u4ee3\u7801\u7cbe\u8bfb&#xff1a;trackImage \u5168\u6d41\u7a0b<\/h3>\n<p>trackImage&#xff08;feature_tracker.cpp:94&#xff09;\u662f\u524d\u7aef\u552f\u4e00\u5bf9\u5916\u63a5\u53e3&#xff0c;\u8f93\u5165\u4e00\u5e27&#xff08;\u53cc\u76ee\u53ef\u9009\u7b2c\u4e8c\u5e27&#xff09;&#043; \u65f6\u95f4\u6233&#xff0c;\u8f93\u51fa featureFrame\u3002\u6574\u4f53\u6d41\u7a0b\u5982\u4e0b&#xff1a;<\/p>\n<p>\u56fe 1 \u00b7 trackImage \u5168\u6d41\u7a0b<\/p>\n<p>\u524d\u7aef\u552f\u4e00\u5bf9\u5916\u63a5\u53e3 trackImage \u7684\u7aef\u5230\u7aef\u6d41\u7a0b&#xff1a;\u4ece\u8bfb\u5165\u56fe\u50cf\u51fa\u53d1&#xff0c;\u7ecf\u5149\u6d41\u8ddf\u8e2a\u3001\u53cd\u5411\u6821\u9a8c\u5254\u5916\u70b9\u3001\u63a9\u819c\u5747\u5300\u5316\u3001\u8865\u5145\u65b0\u70b9&#xff0c;\u518d\u5230\u53bb\u7578\u53d8\u5f52\u4e00\u5316\u3001\u8ba1\u7b97\u901f\u5ea6\u5e76\u6784\u5efa 7 \u7ef4 featureFrame \u8f93\u51fa\u3002<\/p>\n<p>#mermaid-svg-ATUGTkoJK9CZT3Dk{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;fill:#333;}@keyframes edge-animation-frame{from{stroke-dashoffset:0;}}@keyframes dash{to{stroke-dashoffset:0;}}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-animation-slow{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 50s linear infinite;stroke-linecap:round;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-animation-fast{stroke-dasharray:9,5!important;stroke-dashoffset:900;animation:dash 20s linear infinite;stroke-linecap:round;}#mermaid-svg-ATUGTkoJK9CZT3Dk .error-icon{fill:#552222;}#mermaid-svg-ATUGTkoJK9CZT3Dk .error-text{fill:#552222;stroke:#552222;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-thickness-normal{stroke-width:1px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-thickness-thick{stroke-width:3.5px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-pattern-solid{stroke-dasharray:0;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-thickness-invisible{stroke-width:0;fill:none;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-pattern-dashed{stroke-dasharray:3;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edge-pattern-dotted{stroke-dasharray:2;}#mermaid-svg-ATUGTkoJK9CZT3Dk .marker{fill:#333333;stroke:#333333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .marker.cross{stroke:#333333;}#mermaid-svg-ATUGTkoJK9CZT3Dk svg{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:16px;}#mermaid-svg-ATUGTkoJK9CZT3Dk p{margin:0;}#mermaid-svg-ATUGTkoJK9CZT3Dk .label{font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;color:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster-label text{fill:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster-label span{color:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster-label span p{background-color:transparent;}#mermaid-svg-ATUGTkoJK9CZT3Dk .label text,#mermaid-svg-ATUGTkoJK9CZT3Dk span{fill:#333;color:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .node rect,#mermaid-svg-ATUGTkoJK9CZT3Dk .node circle,#mermaid-svg-ATUGTkoJK9CZT3Dk .node ellipse,#mermaid-svg-ATUGTkoJK9CZT3Dk .node polygon,#mermaid-svg-ATUGTkoJK9CZT3Dk .node path{fill:#ECECFF;stroke:#9370DB;stroke-width:1px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .rough-node .label text,#mermaid-svg-ATUGTkoJK9CZT3Dk .node .label text,#mermaid-svg-ATUGTkoJK9CZT3Dk .image-shape .label,#mermaid-svg-ATUGTkoJK9CZT3Dk .icon-shape .label{text-anchor:middle;}#mermaid-svg-ATUGTkoJK9CZT3Dk .node .katex path{fill:#000;stroke:#000;stroke-width:1px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .rough-node .label,#mermaid-svg-ATUGTkoJK9CZT3Dk .node .label,#mermaid-svg-ATUGTkoJK9CZT3Dk .image-shape .label,#mermaid-svg-ATUGTkoJK9CZT3Dk .icon-shape .label{text-align:center;}#mermaid-svg-ATUGTkoJK9CZT3Dk .node.clickable{cursor:pointer;}#mermaid-svg-ATUGTkoJK9CZT3Dk .root .anchor path{fill:#333333!important;stroke-width:0;stroke:#333333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .arrowheadPath{fill:#333333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edgePath .path{stroke:#333333;stroke-width:2.0px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .flowchart-link{stroke:#333333;fill:none;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edgeLabel{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-ATUGTkoJK9CZT3Dk .edgeLabel p{background-color:rgba(232,232,232, 0.8);}#mermaid-svg-ATUGTkoJK9CZT3Dk .edgeLabel rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-ATUGTkoJK9CZT3Dk .labelBkg{background-color:rgba(232, 232, 232, 0.5);}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster rect{fill:#ffffde;stroke:#aaaa33;stroke-width:1px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster text{fill:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk .cluster span{color:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk div.mermaidTooltip{position:absolute;text-align:center;max-width:200px;padding:2px;font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;font-size:12px;background:hsl(80, 100%, 96.2745098039%);border:1px solid #aaaa33;border-radius:2px;pointer-events:none;z-index:100;}#mermaid-svg-ATUGTkoJK9CZT3Dk .flowchartTitleText{text-anchor:middle;font-size:18px;fill:#333;}#mermaid-svg-ATUGTkoJK9CZT3Dk rect.text{fill:none;stroke-width:0;}#mermaid-svg-ATUGTkoJK9CZT3Dk .icon-shape,#mermaid-svg-ATUGTkoJK9CZT3Dk .image-shape{background-color:rgba(232,232,232, 0.8);text-align:center;}#mermaid-svg-ATUGTkoJK9CZT3Dk .icon-shape p,#mermaid-svg-ATUGTkoJK9CZT3Dk .image-shape p{background-color:rgba(232,232,232, 0.8);padding:2px;}#mermaid-svg-ATUGTkoJK9CZT3Dk .icon-shape .label rect,#mermaid-svg-ATUGTkoJK9CZT3Dk .image-shape .label rect{opacity:0.5;background-color:rgba(232,232,232, 0.8);fill:rgba(232,232,232, 0.8);}#mermaid-svg-ATUGTkoJK9CZT3Dk .label-icon{display:inline-block;height:1em;overflow:visible;vertical-align:-0.125em;}#mermaid-svg-ATUGTkoJK9CZT3Dk .node .label-icon path{fill:currentColor;stroke:revert;stroke-width:revert;}#mermaid-svg-ATUGTkoJK9CZT3Dk :root{&#8211;mermaid-font-family:\\&#8221;trebuchet ms\\&#8221;,verdana,arial,sans-serif;}#mermaid-svg-ATUGTkoJK9CZT3Dk .input&gt;*{fill:#eef!important;stroke:#88f!important;}#mermaid-svg-ATUGTkoJK9CZT3Dk .input span{fill:#eef!important;stroke:#88f!important;}#mermaid-svg-ATUGTkoJK9CZT3Dk .branch&gt;*{fill:#ffe!important;stroke:#fc6!important;}#mermaid-svg-ATUGTkoJK9CZT3Dk .branch span{fill:#ffe!important;stroke:#fc6!important;}#mermaid-svg-ATUGTkoJK9CZT3Dk .out&gt;*{fill:#efe!important;stroke:#3c3!important;}#mermaid-svg-ATUGTkoJK9CZT3Dk .out span{fill:#efe!important;stroke:#3c3!important;}<span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u662f<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u5426<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u662f<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u5426<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u662f<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/p>\n<p>\u5426<\/p>\n<p><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/span><span class=\"edgeLabel\"><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u8f93\u5165\u56fe\u50cf &#043; \u65f6\u95f4\u6233<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>IMU \u9884\u6d4b?hasPrediction<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>IMU \u8f85\u52a9\u9884\u6d4b1 \u5c42\u91d1\u5b57\u5854\u521d\u503c<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u5149\u6d41\u8ddf\u8e2acalcOpticalFlowPyrLK 3 \u5c42<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>FLOW_BACK?<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u6b63\u53cd\u5411\u6821\u9a8c\u53cd\u5411\u5149\u6d41\u9608\u503c 0.5<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u5254\u9664\u5931\u8d25\u70b9\/\u5916\u70b9reduceVector \u540c\u6b65\u5254<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u8fb9\u754c\u68c0\u67e5\u5254\u9664\u8d8a\u754c\u70b9<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u5bff\u547d\u52a0\u4e00track_cnt&#043;&#043;<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u63a9\u819c\u5747\u5300\u5316 setMask\u6309\u5bff\u547d\u964d\u5e8f &#043; MIN_DIST<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u9700\u8865\u65b0\u70b9?<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u8865\u5145\u65b0\u70b9goodFeaturesToTrack \u5206\u914d ID<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u53bb\u7578\u53d8\u5f52\u4e00\u5316undistortedPts \/ liftProjective<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u8ba1\u7b97\u5f52\u4e00\u5316\u5e73\u9762\u901f\u5ea6ptsVelocity<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u6784\u5efa\u7279\u5f81\u5e27 featureFrame7 \u7ef4 x,y,z,u,v,vx,vy<\/p>\n<p><\/span><span class=\"nodeLabel\"><\/p>\n<p>\u8f93\u51fa featureFrame\u4ea4\u7ed9\u540e\u7aef processMeasurements<\/p>\n<p><\/span><\/p>\n<h4>5.1 \u8ddf\u8e2a\u4e0e\u5254\u9664&#xff08;:112-162&#xff09;<\/h4>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:164-165  \u8ddf\u8e2a\u6210\u529f\u8005\u5bff\u547d &#043;1<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> <span class=\"token operator\">&amp;<\/span>n <span class=\"token operator\">:<\/span> track_cnt<span class=\"token punctuation\">)<\/span> n<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u8ddf\u8e2a\u5931\u8d25\u7684\u70b9\u5df2\u5728\u524d\u9762 reduceVector \u4e2d\u4e0e prev_pts\/cur_pts\/ids\/track_cnt \u540c\u6b65\u5254\u9664&#xff08;:156-159&#xff09;\u2013\u56db\u4e2a vector \u7528\u540c\u4e00\u4e2a status&#xff0c;\u4fdd\u8bc1\u4e0b\u6807\u5bf9\u9f50\u3002\u8fd9\u662f VINS \u524d\u7aef\u7ba1\u7406\u591a\u7ec4\u5e76\u884c\u6570\u636e\u7684\u6838\u5fc3\u7ea6\u5b9a&#xff0c;\u540e\u7eed feature_manager \u4e5f\u6cbf\u7528\u3002<\/p>\n<h4>5.2 \u8865\u5145\u65b0\u70b9&#xff08;:167-197&#xff09;<\/h4>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:177-195<\/span><\/p>\n<p><span class=\"token keyword\">int<\/span> n_max_cnt <span class=\"token operator\">&#061;<\/span> MAX_CNT <span class=\"token operator\">&#8211;<\/span> <span class=\"token generic-function\"><span class=\"token function\">static_cast<\/span><span class=\"token generic class-name\"><span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">int<\/span><span class=\"token operator\">&gt;<\/span><\/span><\/span><span class=\"token punctuation\">(<\/span>cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">size<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>n_max_cnt <span class=\"token operator\">&gt;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">)<\/span><\/p>\n<p>    cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">goodFeaturesToTrack<\/span><span class=\"token punctuation\">(<\/span>cur_img<span class=\"token punctuation\">,<\/span> n_pts<span class=\"token punctuation\">,<\/span> n_max_cnt<span class=\"token punctuation\">,<\/span> <span class=\"token number\">0.01<\/span><span class=\"token punctuation\">,<\/span> MIN_DIST<span class=\"token punctuation\">,<\/span> mask<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">auto<\/span> <span class=\"token operator\">&amp;<\/span>p <span class=\"token operator\">:<\/span> n_pts<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><\/p>\n<p>    cur_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    ids<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>n_id<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>        <span class=\"token comment\">\/\/ \u65b0\u70b9\u5206\u914d\u5168\u5c40\u552f\u4e00\u9012\u589e id<\/span><\/p>\n<p>    track_cnt<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u521d\u59cb\u5bff\u547d&#061;1<\/span><\/p>\n<p><span class=\"token punctuation\">}<\/span><\/p>\n<p>\u65b0\u70b9\u7528 n_id&#043;&#043; \u5206\u914d\u552f\u4e00 ID&#xff0c;\u8fd9\u662f\u7279\u5f81\u5728\u5168\u751f\u547d\u5468\u671f\u7684\u8eab\u4efd\u6807\u8bc6&#xff0c;\u540e\u7aef\u9760\u5b83\u505a\u6570\u636e\u5173\u8054\u3002n_id \u662f FeatureTracker \u7684\u6210\u5458&#xff08;feature_tracker.h:82&#xff09;&#xff0c;\u5355\u8c03\u9012\u589e\u4e0d\u56de\u6536\u3002<\/p>\n<h4>5.3 IMU \u8f85\u52a9\u9884\u6d4b&#xff08;\u8fdb\u9636&#xff0c;:117-131&#xff09;<\/h4>\n<p>\u82e5 hasPrediction&#xff08;\u540e\u7aef\u4f18\u5316\u540e\u7531 setPrediction \u8bbe\u7f6e&#xff09;&#xff0c;\u524d\u7aef\u7528 IMU \u9884\u6d4b\u7684\u4f4d\u59ff\u628a\u7279\u5f81\u70b9\u6295\u5f71\u5230\u5f53\u524d\u5e27\u4f5c\u4e3a\u5149\u6d41\u521d\u503c&#xff0c;\u4ec5\u7528 1 \u5c42\u91d1\u5b57\u5854\u5373\u53ef\u5feb\u901f\u6536\u655b&#xff1b;\u82e5\u9884\u6d4b\u6210\u529f\u6570 &lt;10&#xff08;\u9884\u6d4b\u4e0d\u53ef\u9760&#xff09;&#xff0c;\u964d\u7ea7\u56de 3 \u5c42\u3002\u8fd9\u662f VIO\u300c\u89c6\u89c9-\u60ef\u6027\u8026\u5408\u300d\u5728\u524d\u7aef\u7684\u4f53\u73b0\u2013IMU \u4e0d\u662f\u53ea\u5728\u540e\u7aef\u7528&#xff0c;\u4e5f\u63d0\u524d\u5e2e\u89c6\u89c9\u7f29\u5c0f\u641c\u7d22\u8303\u56f4\u3002\u8be5\u673a\u5236\u6d89\u53ca\u540e\u7aef predictPtsInNextFrame&#xff0c;\u7b2c 15 \u7bc7\u518d\u5c55\u5f00\u3002<\/p>\n<hr \/>\n<h3>\u516d\u3001featureFrame \u7684 7 \u7ef4\u542b\u4e49<\/h3>\n<p>\u6211\u4eec\u8bf4 featureFrame \u88c5\u7740\u300c7 \u7ef4\u89c2\u6d4b\u300d\u4f46\u6ca1\u5c55\u5f00&#xff0c;\u73b0\u5728\u8865\u4e0a\u3002\u6784\u5efa\u903b\u8f91\u5728 trackImage \u672b\u5c3e&#xff08;:260-279&#xff09;&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:263-278<\/span><\/p>\n<p><span class=\"token keyword\">double<\/span> x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">,<\/span> z<span class=\"token punctuation\">;<\/span><\/p>\n<p>x <span class=\"token operator\">&#061;<\/span> cur_un_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">;<\/span>      <span class=\"token comment\">\/\/ \u53bb\u7578\u53d8\u540e\u7684\u5f52\u4e00\u5316\u5750\u6807<\/span><\/p>\n<p>y <span class=\"token operator\">&#061;<\/span> cur_un_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">;<\/span><\/p>\n<p>z <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>                    <span class=\"token comment\">\/\/ \u5f52\u4e00\u5316\u5e73\u9762 z&#061;1<\/span><\/p>\n<p><span class=\"token keyword\">double<\/span> p_u<span class=\"token punctuation\">,<\/span> p_v<span class=\"token punctuation\">;<\/span><\/p>\n<p>p_u <span class=\"token operator\">&#061;<\/span> cur_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">;<\/span>       <span class=\"token comment\">\/\/ \u539f\u59cb\u50cf\u7d20\u5750\u6807&#xff08;\u542b\u7578\u53d8&#xff09;<\/span><\/p>\n<p>p_v <span class=\"token operator\">&#061;<\/span> cur_pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">double<\/span> velocity_x<span class=\"token punctuation\">,<\/span> velocity_y<span class=\"token punctuation\">;<\/span><\/p>\n<p>velocity_x <span class=\"token operator\">&#061;<\/span> pts_velocity<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">;<\/span><\/p>\n<p>velocity_y <span class=\"token operator\">&#061;<\/span> pts_velocity<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">;<\/span><\/p>\n<p>Eigen<span class=\"token double-colon punctuation\">::<\/span>Matrix<span class=\"token operator\">&lt;<\/span><span class=\"token keyword\">double<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">7<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token number\">1<\/span><span class=\"token operator\">&gt;<\/span> xyz_uv_velocity<span class=\"token punctuation\">;<\/span><\/p>\n<p>xyz_uv_velocity <span class=\"token operator\">&lt;&lt;<\/span> x<span class=\"token punctuation\">,<\/span> y<span class=\"token punctuation\">,<\/span> z<span class=\"token punctuation\">,<\/span> p_u<span class=\"token punctuation\">,<\/span> p_v<span class=\"token punctuation\">,<\/span> velocity_x<span class=\"token punctuation\">,<\/span> velocity_y<span class=\"token punctuation\">;<\/span><\/p>\n<p>featureFrame<span class=\"token punctuation\">[<\/span>feature_id<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span><span class=\"token function\">emplace_back<\/span><span class=\"token punctuation\">(<\/span>camera_id<span class=\"token punctuation\">,<\/span> xyz_uv_velocity<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<h4>\u9010\u5b57\u6bb5\u542b\u4e49<\/h4>\n<table>\n<tr>\u7ef4\u5ea6\u53d8\u91cf\u542b\u4e49\u6765\u6e90<\/tr>\n<tbody>\n<tr>\n<td>0-2<\/td>\n<td>x, y, z<\/td>\n<td>\u53bb\u7578\u53d8\u5f52\u4e00\u5316\u76f8\u673a\u5750\u6807&#xff0c;z&#061;1<\/td>\n<td>undistortedPts<\/td>\n<\/tr>\n<tr>\n<td>3-4<\/td>\n<td>p_u, p_v<\/td>\n<td>\u539f\u59cb\u50cf\u7d20\u5750\u6807&#xff08;\u542b\u7578\u53d8&#xff09;<\/td>\n<td>cur_pts<\/td>\n<\/tr>\n<tr>\n<td>5-6<\/td>\n<td>velocity_x, velocity_y<\/td>\n<td>\u5f52\u4e00\u5316\u5e73\u9762\u901f\u5ea6<\/td>\n<td>ptsVelocity<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4>\u53bb\u7578\u53d8&#xff1a;undistortedPts&#xff08;:391-402&#xff09;<\/h4>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:396-399<\/span><\/p>\n<p>Eigen<span class=\"token double-colon punctuation\">::<\/span>Vector2d <span class=\"token function\">a<\/span><span class=\"token punctuation\">(<\/span>pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">,<\/span> pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ \u50cf\u7d20<\/span><\/p>\n<p>Eigen<span class=\"token double-colon punctuation\">::<\/span>Vector3d b<span class=\"token punctuation\">;<\/span><\/p>\n<p>cam<span class=\"token operator\">-&gt;<\/span><span class=\"token function\">liftProjective<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>               <span class=\"token comment\">\/\/ \u50cf\u7d20 -&gt; \u5f52\u4e00\u5316\u5c04\u7ebf (\u53bb\u7578\u53d8)<\/span><\/p>\n<p>un_pts<span class=\"token punctuation\">.<\/span><span class=\"token function\">push_back<\/span><span class=\"token punctuation\">(<\/span>cv<span class=\"token double-colon punctuation\">::<\/span><span class=\"token function\">Point2f<\/span><span class=\"token punctuation\">(<\/span>b<span class=\"token punctuation\">.<\/span><span class=\"token function\">x<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> b<span class=\"token punctuation\">.<\/span><span class=\"token function\">z<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> b<span class=\"token punctuation\">.<\/span><span class=\"token function\">y<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> b<span class=\"token punctuation\">.<\/span><span class=\"token function\">z<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>  <span class=\"token comment\">\/\/ \u6295\u5f71\u5230 z&#061;1 \u5e73\u9762<\/span><\/p>\n<p>liftProjective \u662f\u76f8\u673a\u6a21\u578b&#xff08;\u9488\u5b54\/MEI&#xff09;\u7684\u9006\u6295\u5f71&#xff1a;\u628a\u5e26\u7578\u53d8\u7684\u50cf\u7d20 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(u,v)(u,v)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">u<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">v<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span> \u8fd8\u539f\u6210\u76f8\u673a\u5750\u6807\u7cfb\u7684\u5f52\u4e00\u5316\u5c04\u7ebf <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">(X\/Z,Y\/Z,1)(X\/Z, Y\/Z, 1)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0785em\">X<\/span><span class=\"mord\">\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.2222em\">Y<\/span><span class=\"mord\">\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0715em\">Z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord\">1<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span>\u3002\u540e\u7aef\u89c6\u89c9\u6b8b\u5dee\u7528\u7684\u662f\u8fd9\u7ec4\u5f52\u4e00\u5316\u5750\u6807&#xff08;\u7b2c 12 \u7bc7&#xff09;&#xff0c;\u56e0\u4e3a\u5b83\u4e0e\u76f8\u673a\u5185\u53c2\u89e3\u8026&#xff0c;\u51e0\u4f55\u610f\u4e49\u5e72\u51c0\u3002EuRoC \u7528 MEI \u6a21\u578b&#xff08;cam0_mei.yaml&#xff09;&#xff0c;liftProjective \u4f1a\u6309 MEI \u7684\u5168\u5411\u6a21\u578b\u53bb\u7578\u53d8\u3002<\/p>\n<h4>\u901f\u5ea6&#xff1a;ptsVelocity&#xff08;:404-442&#xff09;\u2013\u4e00\u4e2a\u6613\u8bef\u89e3\u70b9<\/h4>\n<p><span class=\"token comment\">\/\/ feature_tracker.cpp:425-426<\/span><\/p>\n<p><span class=\"token keyword\">double<\/span> v_x <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>x <span class=\"token operator\">&#8211;<\/span> it<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">.<\/span>x<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> dt<span class=\"token punctuation\">;<\/span>   <span class=\"token comment\">\/\/ pts \u662f cur_un_pts&#xff08;\u5f52\u4e00\u5316\u5750\u6807&#xff01;&#xff09;<\/span><\/p>\n<p><span class=\"token keyword\">double<\/span> v_y <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>pts<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">.<\/span>y <span class=\"token operator\">&#8211;<\/span> it<span class=\"token operator\">-&gt;<\/span>second<span class=\"token punctuation\">.<\/span>y<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">\/<\/span> dt<span class=\"token punctuation\">;<\/span><\/p>\n<p>\u6ce8\u610f trackImage:200 \u4f20\u5165 ptsVelocity \u7684\u662f cur_un_pts&#xff08;\u5f52\u4e00\u5316\u5750\u6807&#xff09;&#xff0c;\u4e0d\u662f\u50cf\u7d20\u5750\u6807\u3002\u6240\u4ee5\u7b2c 5\u30016 \u7ef4\u867d\u5e38\u88ab\u79f0\u4f5c\u300c\u50cf\u7d20\u901f\u5ea6\u300d&#xff0c;\u5b9e\u9645\u662f\u5f52\u4e00\u5316\u5e73\u9762\u4e0a\u7684\u901f\u5ea6 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u0394(x\/z,y\/z)\/\u0394t\\\\Delta(x\/z, y\/z)\/\\\\Delta t<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord\">\u0394<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mord\">\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">y<\/span><span class=\"mord\">\/<\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.044em\">z<\/span><span class=\"mclose\">)<\/span><span class=\"mord\">\/\u0394<\/span><span class=\"mord mathnormal\">t<\/span><\/span><\/span><\/span><\/span>\u3002\u5b83\u7528\u4e8e setPrediction\/fastPredictIMU \u7684\u7279\u5f81\u8fd0\u52a8\u9884\u6d4b\u3002\u540e\u7eed\u7bc7\u4ee5\u672c\u7bc7\u4e3a\u51c6\u3002<\/p>\n<p>featureFrame \u7684\u5916\u5c42\u7ed3\u6784\u662f map&lt;feature_id, vector&lt;pair&lt;camera_id, 7\u7ef4&gt;&gt;&gt;&#xff1a;key \u662f\u7279\u5f81 ID&#xff0c;value \u662f\u5b83\u5728\u5404\u76f8\u673a\u7684\u89c2\u6d4b\u5217\u8868&#xff08;\u5355\u76ee\u53ea\u6709 camera_id&#061;0 \u4e00\u9879&#xff0c;\u53cc\u76ee\u8fd8\u6709 camera_id&#061;1&#xff09;\u3002\u8fd9\u5c31\u662f featureBuf \u91cc\u90a3\u4e32\u5413\u4eba\u6a21\u677f\u7684\u771f\u5b9e\u8bed\u4e49\u3002<\/p>\n<hr \/>\n<h3>\u5c0f\u7ed3<\/h3>\n<p>\u672c\u7bc7\u62c6\u89e3\u4e86 VINS \u524d\u7aef\u4e09\u4ef6\u5957&#xff1a;<\/p>\n<ul>\n<li>\n<p>Shi-Tomasi 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