{"id":42393,"date":"2025-06-08T15:27:29","date_gmt":"2025-06-08T07:27:29","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/42393.html"},"modified":"2025-06-08T15:27:29","modified_gmt":"2025-06-08T07:27:29","slug":"%e5%85%89%e6%b5%81%e6%b3%95%ef%bc%88optical-flow%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/42393.html","title":{"rendered":"\u5149\u6d41\u6cd5\uff08Optical Flow\uff09"},"content":{"rendered":"<h2>\u4e00\u3001\u7b80\u4ecb<\/h2>\n<p style=\"margin-left:.0001pt;text-align:justify\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5149\u6d41\u6cd5&#xff08;Optical Flow&#xff09;\u662f\u4e00\u79cd\u7528\u4e8e\u68c0\u6d4b\u56fe\u50cf\u5e8f\u5217\u4e2d\u50cf\u7d20\u8fd0\u52a8\u7684\u8ba1\u7b97\u673a\u89c6\u89c9\u6280\u672f\u3002\u5176\u57fa\u4e8e\u4ee5\u4e0b\u5047\u8bbe&#xff1a;<\/p>\n<li style=\"margin-left:.0001pt;text-align:justify\">\u00a0 \u00a0 \u00a0 \u00a0 1.\u4eae\u5ea6\u6052\u5b9a\u6027\u5047\u8bbe&#xff1a;\u7269\u4f53\u5728\u8fd0\u52a8\u8fc7\u7a0b\u4e2d&#xff0c;\u5176\u50cf\u7d20\u503c\u5728\u4e0d\u540c\u5e27\u4e2d\u4fdd\u6301\u4e0d\u53d8\u3002\n<li style=\"margin-left:.0001pt;text-align:justify\">\u00a0 \u00a0 \u00a0 \u00a0 2.\u7a7a\u95f4\u548c\u65f6\u95f4\u4e0a\u7684\u8fde\u7eed\u6027&#xff1a;\u76f8\u90bb\u50cf\u7d20\u4e4b\u95f4\u7684\u8fd0\u52a8\u53d8\u5316\u8f83\u4e3a\u5e73\u6ed1&#xff0c;\u4e0d\u4f1a\u6709\u5267\u70c8\u7684\u8df3\u53d8\u3002<\/li>\n<\/li>\n<p style=\"margin-left:.0001pt;text-align:justify\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u901a\u8fc7\u5206\u6790\u76f8\u90bb\u5e27\u4e4b\u95f4\u7684\u50cf\u7d20\u53d8\u5316\u6765\u4f30\u8ba1\u8fd0\u52a8\u77e2\u91cf\u573a&#xff0c;\u63cf\u8ff0\u7269\u4f53\u6216\u573a\u666f\u5728\u56fe\u50cf\u5e8f\u5217\u4e2d\u7684\u8fd0\u52a8\u3002<\/p>\n<h2 style=\"margin-left:.0001pt;text-align:justify\">\u4e8c\u3001\u7a20\u5bc6\u5149\u6d41<\/h2>\n<p 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1.\u56fe\u50cf\u68af\u5ea6\u8ba1\u7b97&#xff1a;\u9996\u5148\u8ba1\u7b97\u56fe\u50cf\u7684\u68af\u5ea6&#xff0c;\u5305\u62ec\u7a7a\u95f4\u68af\u5ea6&#xff08;Ix, Iy&#xff09;\u548c\u65f6\u95f4\u68af\u5ea6&#xff08;It&#xff09;\u3002\u8fd9\u4e9b\u68af\u5ea6\u53cd\u6620\u4e86\u56fe\u50cf\u4eae\u5ea6\u5728\u7a7a\u95f4\u548c\u65f6\u95f4\u4e0a\u7684\u53d8\u5316\u60c5\u51b5\u3002<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 2.\u521d\u59cb\u5316\u5149\u6d41\u573a&#xff1a;\u5728Horn-Schunck\u7b97\u6cd5\u4e2d&#xff0c;\u5149\u6d41\u573a&#xff08;u, v&#xff09;\u7684\u521d\u59cb\u4f30\u8ba1\u901a\u5e38\u8bbe\u7f6e\u4e3a\u96f6\u6216\u8005\u57fa\u4e8e\u5176\u4ed6\u65b9\u6cd5\u5f97\u5230\u3002<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 3.\u6784\u5efa\u80fd\u91cf\u6cdb\u51fd&#xff1a;\u7b97\u6cd5\u6784\u5efa\u4e00\u4e2a\u80fd\u91cf\u6cdb\u51fd&#xff0c;\u8be5\u6cdb\u51fd\u7531\u6570\u636e\u9879&#xff08;\u4eae\u5ea6\u6052\u5b9a\u9879&#xff09;\u548c\u5e73\u6ed1\u9879\u7ec4\u6210\u3002\u6570\u636e\u9879\u786e\u4fdd\u5149\u6d41\u4fdd\u6301\u4eae\u5ea6\u6052\u5b9a&#xff0c;\u800c\u5e73\u6ed1\u9879\u5219\u5047\u8bbe\u5149\u6d41\u5728\u7a7a\u95f4\u4e0a\u662f\u5e73\u6ed1\u53d8\u5316\u7684\u3002<\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a04.\u8fed\u4ee3\u6c42\u89e3&#xff1a;Horn-Schunck\u7b97\u6cd5\u901a\u8fc7\u8fed\u4ee3\u7684\u65b9\u5f0f\u6c42\u89e3\u5149\u6d41\u573a\u3002\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d&#xff0c;\u7b97\u6cd5\u66f4\u65b0\u5149\u6d41\u573a\u7684\u4f30\u8ba1\u503c&#xff0c;\u76f4\u5230\u6ee1\u8db3\u6536\u655b\u6761\u4ef6\u6216\u8fbe\u5230\u6700\u5927\u8fed\u4ee3\u6b21\u6570\u3002\u8fed\u4ee3\u66f4\u65b0\u516c\u5f0f\u5982\u4e0b&#xff1a;<\/p>\n<p style=\"text-align:center\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2025\/06\/20250608072727-68453b5fddc52.jpg\" \/><\/p>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u5176\u4e2d&#xff0c;(u^n, v^n)\u662f\u7b2cn\u6b21\u8fed\u4ee3\u7684\u5149\u6d41\u4f30\u8ba1&#xff0c;\u03c8\u662f\u9884\u5148\u8ba1\u7b97\u597d\u7684\u5206\u6bcd&#xff0c;\u7528\u4e8e\u907f\u514d\u5728\u6bcf\u6b21\u8fed\u4ee3\u4e2d\u8fdb\u884c\u9664\u6cd5\u8fd0\u7b97\u3002<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 5. \u5e73\u6ed1\u7ea6\u675f&#xff1a;\u5e73\u6ed1\u7ea6\u675f\u901a\u5e38\u901a\u8fc7\u9886\u57df\u5747\u503c&#xff08;\u5373\u5468\u56f4\u50cf\u7d20\u7684\u5149\u6d41\u5e73\u5747\u503c&#xff09;\u6765\u5b9e\u73b0&#xff0c;\u5b83\u6709\u52a9\u4e8e\u51cf\u5c11\u566a\u58f0\u7684\u5f71\u54cd\u5e76\u4fdd\u6301\u5149\u6d41\u573a\u7684\u4e00\u81f4\u6027\u3002<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 6.\u591a\u5c3a\u5ea6\u5904\u7406&#xff1a;\u4e3a\u4e86\u63d0\u9ad8\u7b97\u6cd5\u7684\u9c81\u68d2\u6027&#xff0c;Horn-Schunck\u7b97\u6cd5\u53ef\u4ee5\u5728\u591a\u4e2a\u5c3a\u5ea6\u4e0a\u8fd0\u884c&#xff0c;\u5373\u5148\u5728\u4f4e\u5206\u8fa8\u7387\u56fe\u50cf\u4e0a\u8ba1\u7b97\u5149\u6d41&#xff0c;\u7136\u540e\u5c06\u7ed3\u679c\u4e0a\u91c7\u6837\u5230\u9ad8\u5206\u8fa8\u7387\u56fe\u50cf\u4e0a\u7ee7\u7eed\u8ba1\u7b97\u3002<\/p>\n<p>\u00a0 \u00a0 \u00a0 \u00a0 7.\u7ed3\u679c\u8f93\u51fa&#xff1a;\u6700\u7ec8&#xff0c;\u7b97\u6cd5\u8f93\u51fa\u6bcf\u4e2a\u50cf\u7d20\u70b9\u7684\u5149\u6d41\u5411\u91cf&#xff08;u, v&#xff09;&#xff0c;\u8fd9\u4e9b\u5411\u91cf\u8868\u793a\u4e86\u50cf\u7d20\u70b9\u5728\u56fe\u50cf\u5e8f\u5217\u4e2d\u7684\u901f\u5ea6\u548c\u65b9\u5411\u3002<\/p>\n<h2>\u4e09\u3001\u7a00\u758f\u5149\u6d41<\/h2>\n<p style=\"margin-left:.0001pt;text-align:justify\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u7a00\u758f\u5149\u6d41\u662f\u4e00\u79cd\u5149\u6d41\u4f30\u8ba1\u65b9\u6cd5&#xff0c;\u5b83\u4e3b\u8981\u5173\u6ce8\u4e8e\u56fe\u50cf\u4e2d\u7279\u5b9a\u70b9&#xff08;\u901a\u5e38\u662f\u7279\u5f81\u70b9&#xff09;\u7684\u8fd0\u52a8&#xff0c;\u800c\u4e0d\u662f\u8ba1\u7b97\u56fe\u50cf\u4e2d\u6bcf\u4e2a\u50cf\u7d20\u70b9\u7684\u8fd0\u52a8\u3002<\/p>\n<p style=\"margin-left:.0001pt;text-align:justify\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Lucas-Kanade\u65b9\u6cd5\u662f\u4e00\u79cd\u7ecf\u5178\u7684\u8ba1\u7b97\u673a\u89c6\u89c9\u6280\u672f&#xff0c;\u7528\u4e8e\u4f30\u8ba1\u56fe\u50cf\u5e8f\u5217\u4e2d\u7684\u5149\u6d41&#xff0c;\u5373\u63cf\u8ff0\u7269\u4f53\u5728\u89c6\u9891\u5e8f\u5217\u4e2d\u7684\u8fd0\u52a8\u3002\u4ee5\u4e0b\u662fLucas-Kanade\u65b9\u6cd5\u7684\u5177\u4f53\u6b65\u9aa4&#xff1a;<\/p>\n<li>\n<p>\u7279\u5f81\u70b9\u68c0\u6d4b&#xff1a;\u4f7f\u7528cv2.goodFeaturesToTrack()\u51fd\u6570\u5728\u7b2c\u4e00\u5e27\u56fe\u50cf\u4e2d\u68c0\u6d4b\u7279\u5f81\u70b9\u3002\u8fd9\u4e9b\u70b9\u901a\u5e38\u662f\u89d2\u70b9&#xff0c;\u5b83\u4eec\u5728\u56fe\u50cf\u5e8f\u5217\u4e2d\u5bb9\u6613\u88ab\u8ffd\u8e2a\u3002<\/p>\n<\/li>\n<li>\n<p>\u5149\u6d41\u4f30\u8ba1\u5faa\u73af&#xff1a;\u8fdb\u5165\u4e00\u4e2a\u5faa\u73af&#xff0c;\u8bfb\u53d6\u6bcf\u4e00\u5e27\u56fe\u50cf&#xff0c;\u5e76\u4f7f\u7528Lucas-Kanade\u7b97\u6cd5\u8ba1\u7b97\u7279\u5f81\u70b9\u7684\u5149\u6d41\u3002\u4f7f\u7528cv2.calcOpticalFlowPyrLK()\u51fd\u6570\u6765\u8ffd\u8e2a\u7279\u5f81\u70b9\u3002\u8fd9\u4e2a\u51fd\u6570\u9700\u8981\u524d\u4e00\u5e27\u548c\u5f53\u524d\u5e27\u7684\u56fe\u50cf&#xff0c;\u4ee5\u53ca\u524d\u4e00\u5e27\u4e2d\u68c0\u6d4b\u5230\u7684\u7279\u5f81\u70b9\u3002\u5b83\u8fd4\u56de\u5f53\u524d\u5e27\u4e2d\u7279\u5f81\u70b9\u7684\u65b0\u4f4d\u7f6e\u3001\u72b6\u6001\u5411\u91cf&#xff08;\u8868\u793a\u8ddf\u8e2a\u662f\u5426\u6210\u529f&#xff09;\u548c\u8bef\u5dee\u5411\u91cf\u3002<\/p>\n<\/li>\n<li>\n<p>\u7b5b\u9009\u6709\u6548\u7279\u5f81\u70b9&#xff1a;\u4ececv2.calcOpticalFlowPyrLK()\u8fd4\u56de\u7684\u72b6\u6001\u5411\u91cf\u4e2d\u7b5b\u9009\u51fa\u8ddf\u8e2a\u6210\u529f\u7684\u7279\u5f81\u70b9\u3002\u53ea\u6709\u72b6\u6001\u503c\u4e3a1\u7684\u7279\u5f81\u70b9\u88ab\u8ba4\u4e3a\u662f\u6709\u6548\u7684\u3002<\/p>\n<\/li>\n<li>\n<p>\u7ed8\u5236\u8f68\u8ff9&#xff1a;\u5728\u56fe\u50cf\u4e0a\u7ed8\u5236\u6709\u6548\u7279\u5f81\u70b9\u7684\u8f68\u8ff9&#xff0c;\u901a\u5e38\u901a\u8fc7\u8fde\u63a5\u524d\u4e00\u5e27\u548c\u5f53\u524d\u5e27\u4e2d\u5bf9\u5e94\u7684\u7279\u5f81\u70b9\u6765\u5b9e\u73b0\u3002<\/p>\n<\/li>\n<li>\n<p>\u66f4\u65b0\u7279\u5f81\u70b9&#xff1a;\u4f7f\u7528\u5f53\u524d\u5e27\u4e2d\u8ba1\u7b97\u51fa\u7684\u6709\u6548\u7279\u5f81\u70b9\u4f5c\u4e3a\u4e0b\u4e00\u5e27\u7684\u8f93\u5165\u7279\u5f81\u70b9&#xff0c;\u7ee7\u7eed\u8fdb\u884c\u5149\u6d41\u4f30\u8ba1\u3002<\/p>\n<\/li>\n<li>\n<p>\u5904\u7406\u5927\u8fd0\u52a8&#xff1a;\u4e3a\u4e86\u5904\u7406\u5927\u7684\u8fd0\u52a8&#xff0c;Lucas-Kanade\u65b9\u6cd5\u4f7f\u7528\u56fe\u50cf\u91d1\u5b57\u5854\u3002\u5728\u91d1\u5b57\u5854\u7684\u6bcf\u5c42\u4e0a\u5e94\u7528Lucas-Kanade\u65b9\u6cd5&#xff0c;\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f&#xff0c;\u5927\u7684\u8fd0\u52a8\u5728\u91d1\u5b57\u5854\u7684\u9ad8\u5c42\u4e0a\u53d8\u6210\u4e86\u5c0f\u7684\u8fd0\u52a8&#xff0c;\u4ece\u800c\u53ef\u4ee5\u88ab\u7b97\u6cd5\u8ffd\u8e2a\u3002<\/p>\n<\/li>\n<li>\n<p>\u91ca\u653e\u8d44\u6e90&#xff1a;\u5728\u5904\u7406\u5b8c\u6240\u6709\u5e27\u540e&#xff0c;\u91ca\u653e\u6240\u6709\u8d44\u6e90&#xff0c;\u5305\u62ec\u5173\u95ed\u89c6\u9891\u6587\u4ef6\u548c\u9500\u6bc1\u6240\u6709\u521b\u5efa\u7684\u7a97\u53e3\u3002<\/p>\n<\/li>\n<p>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0Lucas-Kanade\u65b9\u6cd5\u5047\u8bbe\u5728\u5c0f\u7684\u5c40\u90e8\u7a97\u53e3\u5185&#xff0c;\u6240\u6709\u50cf\u7d20\u7684\u8fd0\u52a8\u90fd\u662f\u76f8\u540c\u7684&#xff0c;\u901a\u8fc7\u6700\u5c0f\u4e8c\u4e58\u6cd5\u6c42\u89e3\u5149\u6d41\u65b9\u7a0b&#xff0c;\u5f97\u5230\u7279\u5f81\u70b9\u7684\u8fd0\u52a8\u5411\u91cf\u3002\u8fd9\u79cd\u65b9\u6cd5\u7b80\u5355\u800c\u9ad8\u6548&#xff0c;\u9002\u5408\u7528\u4e8e\u5b9e\u65f6\u89c6\u9891\u5904\u7406\u3002\u3001<\/p>\n<h2>\u56db\u3001\u601d\u8003<\/h2>\n<p 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