{"id":68862,"date":"2026-01-30T20:16:44","date_gmt":"2026-01-30T12:16:44","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/68862.html"},"modified":"2026-01-30T20:16:44","modified_gmt":"2026-01-30T12:16:44","slug":"11-%e7%a9%ba%e9%97%b4%e7%b4%a2%e5%bc%95%e7%9a%84%e8%89%ba%e6%9c%af%ef%bc%9aboost-geometry-r%e6%a0%91%e5%ae%9e%e6%88%98%e8%a7%a3%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/68862.html","title":{"rendered":"11.\u7a7a\u95f4\u7d22\u5f15\u7684\u827a\u672f\uff1aBoost.Geometry R\u6811\u5b9e\u6218\u89e3\u6790"},"content":{"rendered":"

\u7a7a\u95f4\u7d22\u5f15\u7684\u827a\u672f：Boost.Geometry R\u6811\u5b9e\u6218\u89e3\u6790<\/h2>\n

\u672c\u6587\u5e26\u4f60\u6df1\u5165\u7406\u89e3\u5982\u4f55\u7528 C++ \u548c Boost.Geometry \u6784\u5efa\u9ad8\u6548\u7684\u7a7a\u95f4\u7d22\u5f15\u7cfb\u7edf，\u4ece\u7b80\u5355\u7684\u77e9\u5f62\u6846\u5230\u590d\u6742\u7684\u591a\u8fb9\u5f62\u3001\u6298\u7ebf\u751a\u81f3\u6df7\u5408\u51e0\u4f55\u7c7b\u578b，\u4e00\u7f51\u6253\u5c3d\u3002<\/p>\n

\n

1. \u3010\u524d\u7f6e\u5fc5\u5907\u3011\u57fa\u7840\u6982\u5ff5\u901f\u89c8<\/h3>\n

\u5728\u6df1\u5165\u4ee3\u7801\u524d，\u6211\u4eec\u9700\u8981\u5feb\u901f\u638c\u63e1\u51e0\u4e2a\u5173\u952e\u7684 C++ \u548c Boost \u6982\u5ff5\u3002\u5b83\u4eec\u4e0d\u662f\u9ad8\u6df1\u7406\u8bba，\u800c\u662f\u7406\u89e3\u672c\u6587\u4ee3\u7801\u7684\u201c\u94a5\u5319\u201d\u3002<\/p>\n\n\u6982\u5ff5\u4e00\u53e5\u8bdd\u89e3\u91ca\u4e3a\u4f55\u672c\u6587\u9700\u8981\u5b83<\/tr>\n\n\n\n\n\n\n
RAII<\/td>\n\u8d44\u6e90\u83b7\u53d6\u5373\u521d\u59cb\u5316（Resource Acquisition Is Initialization），\u5229\u7528\u5bf9\u8c61\u751f\u547d\u5468\u671f\u81ea\u52a8\u7ba1\u7406\u8d44\u6e90（\u5982\u5185\u5b58）\u3002<\/td>\n\u6240\u6709\u793a\u4f8b\u90fd\u901a\u8fc7 shared_ptr \u6216\u5bb9\u5668\u81ea\u52a8\u7ba1\u7406\u51e0\u4f55\u5bf9\u8c61\u5185\u5b58，\u907f\u514d\u6cc4\u6f0f\u3002<\/td>\n<\/tr>\n
\u667a\u80fd\u6307\u9488 (shared_ptr)<\/td>\n\u81ea\u52a8\u5f15\u7528\u8ba1\u6570\u7684\u6307\u9488，\u5f53\u6700\u540e\u4e00\u4e2a\u5f15\u7528\u9500\u6bc1\u65f6\u81ea\u52a8\u91ca\u653e\u6240\u6307\u5bf9\u8c61\u3002<\/td>\n\u5728 SharedPointersPolygon.cpp \u4e2d\u7528\u4e8e\u5b89\u5168\u5730\u5728 R \u6811\u4e2d\u5b58\u50a8\u591a\u8fb9\u5f62\u3002<\/td>\n<\/tr>\n
\u6a21\u677f\u7279\u5316<\/td>\n\u4e3a\u7279\u5b9a\u6a21\u677f\u53c2\u6570\u63d0\u4f9b\u5b9a\u5236\u5b9e\u73b0\u3002<\/td>\nSpatialIndexQueries.cpp \u4e2d\u7279\u5316\u4e86 indexable，\u8ba9 R \u6811\u80fd\u5904\u7406 shared_ptr<box>\u3002<\/td>\n<\/tr>\n
Boost.Variant<\/td>\n\u5b89\u5168\u7684\u201c\u8054\u5408\u4f53\u201d（union），\u53ef\u5728\u8fd0\u884c\u65f6\u6301\u6709\u591a\u79cd\u7c7b\u578b\u4e4b\u4e00\u3002<\/td>\nGeometryMap.cpp \u7528\u5b83\u7edf\u4e00\u8868\u793a\u591a\u8fb9\u5f62\u3001\u73af\u3001\u6298\u7ebf\u4e09\u79cd\u51e0\u4f55\u7c7b\u578b\u3002<\/td>\n<\/tr>\n
WKT (Well-Known Text)<\/td>\nOGC \u6807\u51c6\u7684\u51e0\u4f55\u5bf9\u8c61\u6587\u672c\u8868\u793a\u683c\u5f0f，\u5982 POLYGON((0 0,1 0,1 1,0 1,0 0))\u3002<\/td>\n\u6240\u6709\u793a\u4f8b\u90fd\u7528 bg::wkt() \u8f93\u51fa\u51e0\u4f55，\u4fbf\u4e8e\u8c03\u8bd5\u548c\u53ef\u89c6\u5316\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n

2. \u3010\u5168\u666f\u6982\u89c8\u3011\u4ee3\u7801\u7684\u201c\u7b2c\u4e00\u5370\u8c61\u201d<\/h3>\n

\u4ee3\u7801\u6765\u6e90\u4e0e\u4f7f\u547d<\/h4>\n

\u8fd9\u4e94\u6bb5 C++ \u4ee3\u7801\u5747\u56f4\u7ed5 Boost.Geometry \u7684 R \u6811（R-tree）\u7a7a\u95f4\u7d22\u5f15\u5c55\u5f00，\u6f14\u793a\u4e86\u5982\u4f55\u9ad8\u6548\u5730\u6267\u884c\u4e24\u7c7b\u6838\u5fc3\u7a7a\u95f4\u67e5\u8be2：<\/p>\n

    \n
  • \u8303\u56f4\u67e5\u8be2（Range Query）：\u627e\u51fa\u4e0e\u7ed9\u5b9a\u533a\u57df\u76f8\u4ea4\u7684\u6240\u6709\u5bf9\u8c61\u3002<\/li>\n
  • K\u8fd1\u90bb\u67e5\u8be2（K-NN Query）：\u627e\u51fa\u8ddd\u79bb\u67d0\u70b9\u6700\u8fd1\u7684 K \u4e2a\u5bf9\u8c61\u3002<\/li>\n<\/ul>\n

    \u5b8f\u89c2\u8bbe\u8ba1<\/h4>\n

    \u6240\u6709\u4ee3\u7801\u9075\u5faa\u4e00\u4e2a\u901a\u7528\u6a21\u5f0f：<\/p>\n

  • \u5b9a\u4e49\u51e0\u4f55\u7c7b\u578b（\u70b9\u3001\u6846\u3001\u591a\u8fb9\u5f62\u7b49）\u3002<\/li>\n
  • \u521b\u5efa\u5e76\u586b\u5145 R \u6811，\u5c06\u51e0\u4f55\u5bf9\u8c61（\u6216\u5176\u5305\u56f4\u76d2）\u63d2\u5165\u7d22\u5f15\u3002<\/li>\n
  • \u6267\u884c\u67e5\u8be2（\u8303\u56f4 or KNN）\u3002<\/li>\n
  • \u8f93\u51fa\u7ed3\u679c\u3002<\/li>\n

    \u5dee\u5f02\u5728\u4e8e \u5982\u4f55\u7ec4\u7ec7\u548c\u5b58\u50a8\u51e0\u4f55\u6570\u636e：<\/p>\n

      \n
    • SpatialQuery.cpp：\u6700\u7b80\u5f62\u5f0f，\u76f4\u63a5\u5b58\u50a8 (box, id)\u3002<\/li>\n
    • SpatialIndexQueries.cpp：\u7528 shared_ptr<box> \u7ba1\u7406\u77e9\u5f62\u3002<\/li>\n
    • IndexPolygons.cpp：\u7528 vector<polygon> \u5b58\u50a8\u591a\u8fb9\u5f62，R \u6811\u53ea\u5b58 (envelope, index)\u3002<\/li>\n
    • SharedPointersPolygon.cpp：\u7528 shared_ptr<polygon> \u76f4\u63a5\u7ba1\u7406\u591a\u8fb9\u5f62\u3002<\/li>\n
    • GeometryMap.cpp：\u7528 map<id, variant<…>> \u652f\u6301\u591a\u79cd\u51e0\u4f55\u7c7b\u578b\u6df7\u5408\u3002<\/li>\n<\/ul>\n

      \u4eae\u70b9\u9884\u544a<\/h4>\n
        \n
      • \u6a21\u677f\u7279\u5316：\u8ba9 R \u6811\u80fd\u76f4\u63a5\u7d22\u5f15\u667a\u80fd\u6307\u9488\u3002<\/li>\n
      • Variant + Visitor：\u4f18\u96c5\u5904\u7406\u5f02\u6784\u51e0\u4f55\u7c7b\u578b\u7684\u7edf\u4e00\u64cd\u4f5c\u3002<\/li>\n<\/ul>\n
        \n

        3. \u3010\u5e96\u4e01\u89e3\u725b\u3011\u6838\u5fc3\u4ee3\u7801\u9010\u884c\u89e3\u8bf4<\/h3>\n

        3.1 \u6700\u7b80\u8303\u5f0f：SpatialQuery.cpp<\/h4>\n

        \/\/ \u5b9a\u4e49\u70b9\u3001\u6846\u3001RTree\u503c\u7c7b\u578b<\/span>
        \ntypedef<\/span> bg::<\/span>model::<\/span>point<<\/span>float<\/span>,<\/span> 2<\/span>,<\/span> bg::<\/span>cs::<\/span>cartesian><\/span> point;<\/span>
        \ntypedef<\/span> bg::<\/span>model::<\/span>box<<\/span>point><\/span> box;<\/span>
        \ntypedef<\/span> std::<\/span>pair<<\/span>box,<\/span> unsigned<\/span>><\/span> value;<\/span> \/\/ <– (\u51e0\u4f55\u5305\u56f4\u76d2, ID)<\/span><\/p>\n

        void<\/span> SpatialQuery<\/span>(<\/span>)<\/span> {<\/span>
        \n \/\/ \u521b\u5efaR\u6811，\u4f7f\u7528quadratic\u5206\u88c2\u7b56\u7565，\u8282\u70b9\u5bb9\u91cf16<\/span>
        \n bgi::<\/span>rtree<<\/span>value,<\/span> bgi::<\/span>quadratic<<\/span>16<\/span>>><\/span> rtree;<\/span><\/p>\n

        \/\/ \u63d2\u516510\u4e2a\u6cbf\u5bf9\u89d2\u7ebf\u5206\u5e03\u7684\u6b63\u65b9\u5f62<\/span>
        \n for<\/span> (<\/span>unsigned<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> 10<\/span>;<\/span> ++<\/span>i)<\/span> {<\/span>
        \n box b<\/span>(<\/span>point<\/span>(<\/span>i,<\/span> i)<\/span>,<\/span> point<\/span>(<\/span>i+<\/span>0.5f<\/span>,<\/span> i+<\/span>0.5f<\/span>)<\/span>)<\/span>;<\/span>
        \n rtree.<\/span>insert<\/span>(<\/span>std::<\/span>make_pair<\/span>(<\/span>b,<\/span> i)<\/span>)<\/span>;<\/span> \/\/ <– \u5b58\u50a8(\u6846, ID)<\/span>
        \n }<\/span><\/p>\n

        \/\/ \u8303\u56f4\u67e5\u8be2：\u627e\u4e0e(5,5)-(10,10)\u76f8\u4ea4\u7684\u6846<\/span>
        \n box query_box<\/span>(<\/span>point<\/span>(<\/span>5<\/span>,<\/span>5<\/span>)<\/span>,<\/span> point<\/span>(<\/span>10<\/span>,<\/span>10<\/span>)<\/span>)<\/span>;<\/span>
        \n std::<\/span>vector<<\/span>value><\/span> result_s;<\/span>
        \n rtree.<\/span>query<\/span>(<\/span>bgi::<\/span>intersects<\/span>(<\/span>query_box)<\/span>,<\/span> std::<\/span>back_inserter<\/span>(<\/span>result_s)<\/span>)<\/span>;<\/span><\/p>\n

        \/\/ KNN\u67e5\u8be2：\u627e\u79bb(0,0)\u6700\u8fd1\u76845\u4e2a<\/span>
        \n point query_point<\/span>(<\/span>0<\/span>,<\/span> 0<\/span>)<\/span>;<\/span>
        \n std::<\/span>vector<<\/span>value><\/span> result_n;<\/span>
        \n rtree.<\/span>query<\/span>(<\/span>bgi::<\/span>nearest<\/span>(<\/span>query_point,<\/span> 5<\/span>)<\/span>,<\/span> std::<\/span>back_inserter<\/span>(<\/span>result_n)<\/span>)<\/span>;<\/span>
        \n}<\/span><\/p>\n

        \u5173\u8054\u5206\u6790：<\/p>\n

          \n
        • \u8fd9\u662f\u6700\u57fa\u7840\u7684\u7528\u6cd5，\u5206\u79bb\u4e86\u7d22\u5f15（box）\u548c\u6570\u636e（ID）\u3002\u5b9e\u9645\u5e94\u7528\u4e2d，ID \u53ef\u7528\u4e8e\u67e5\u627e\u6570\u636e\u5e93\u8bb0\u5f55\u6216\u5185\u5b58\u4e2d\u7684\u5b8c\u6574\u5bf9\u8c61\u3002<\/li>\n
        • bgi::quadratic<16> \u662f R \u6811\u7684\u4e00\u79cd\u6784\u5efa\u7b56\u7565，\u51b3\u5b9a\u4e86\u8282\u70b9\u5206\u88c2\u65b9\u5f0f，\u5f71\u54cd\u67e5\u8be2\u6027\u80fd\u3002<\/li>\n<\/ul>\n
          \n

          3.2 \u667a\u80fd\u6307\u9488\u4e0e\u6a21\u677f\u7279\u5316：SpatialIndexQueries.cpp<\/h4>\n

          \/\/ \u5173\u952e：\u7279\u5316 indexable \u6a21\u677f！<\/span>
          \nnamespace<\/span> boost {<\/span> namespace<\/span> geometry {<\/span> namespace<\/span> index {<\/span>
          \ntemplate<\/span> <<\/span>typename<\/span> Box<\/span>><\/span>
          \nstruct<\/span> indexable<\/span><<\/span>boost::<\/span>shared_ptr<<\/span>Box>><\/span> {<\/span>
          \n typedef<\/span> boost::<\/span>shared_ptr<<\/span>Box><\/span> V;<\/span>
          \n typedef<\/span> Box const<\/span>&<\/span> result_type;<\/span>
          \n result_type operator<\/span>(<\/span>)<\/span>(<\/span>V const<\/span>&<\/span> v)<\/span> const<\/span> {<\/span>
          \n return<\/span> *<\/span>v;<\/span> \/\/ <– \u544a\u8bc9RTree：\u4eceshared_ptr\u4e2d\u53d6Box<\/span>
          \n }<\/span>
          \n}<\/span>}<\/span>}<\/span><\/p>\n

          void<\/span> demonstrate_spatial_index_queries<\/span>(<\/span>)<\/span> {<\/span>
          \n typedef<\/span> boost::<\/span>shared_ptr<<\/span>box><\/span> shp;<\/span>
          \n bgi::<\/span>rtree<<\/span>shp,<\/span> bgi::<\/span>linear<<\/span>16<\/span>,<\/span> 4<\/span>>><\/span> rtree;<\/span> \/\/ <– \u76f4\u63a5\u5b58shared_ptr!<\/span><\/p>\n

          for<\/span> (<\/span>unsigned<\/span> i =<\/span> 0<\/span>;<\/span> i <<\/span> 10<\/span>;<\/span> ++<\/span>i)<\/span> {<\/span>
          \n shp b<\/span>(<\/span>new<\/span> box<\/span>(<\/span>point<\/span>(<\/span>i,<\/span> i)<\/span>,<\/span> point<\/span>(<\/span>i+<\/span>0.5f<\/span>,<\/span> i+<\/span>0.5f<\/span>)<\/span>)<\/span>)<\/span>;<\/span>
          \n rtree.<\/span>insert<\/span>(<\/span>b)<\/span>;<\/span> \/\/ <– \u63d2\u5165\u667a\u80fd\u6307\u9488<\/span>
          \n }<\/span>
          \n \/\/ \u67e5\u8be2\u903b\u8f91\u51e0\u4e4e\u4e0d\u53d8…<\/span>
          \n}<\/span><\/p>\n

          \u5173\u8054\u5206\u6790：<\/p>\n

            \n
          • \u9ed8\u8ba4\u60c5\u51b5\u4e0b，R \u6811\u4e0d\u77e5\u9053\u5982\u4f55\u4ece shared_ptr<box> \u4e2d\u63d0\u53d6\u51e0\u4f55\u4fe1\u606f\u3002\u6a21\u677f\u7279\u5316 indexable \u5c31\u662f\u544a\u8bc9\u5b83：\u201c\u8c03\u7528 *ptr \u5373\u53ef\u201d\u3002<\/li>\n
          • \u8fd9\u4f53\u73b0\u4e86 C++ \u6cdb\u578b\u7f16\u7a0b\u7684\u5a01\u529b：\u901a\u8fc7\u7279\u5316，\u6211\u4eec\u53ef\u4ee5\u8ba9\u901a\u7528\u5bb9\u5668（R \u6811）\u9002\u914d\u4efb\u610f\u81ea\u5b9a\u4e49\u7c7b\u578b\u3002<\/li>\n<\/ul>\n
            \n

            3.3 \u591a\u8fb9\u5f62\u4e0e\u5305\u56f4\u76d2：IndexPolygons.cpp vs SharedPointersPolygon.cpp<\/h4>\n

            \u4e24\u8005\u90fd\u5904\u7406\u591a\u8fb9\u5f62，\u4f46\u5185\u5b58\u7ba1\u7406\u7b56\u7565\u4e0d\u540c：<\/p>\n

              \n
            • \n

              IndexPolygons.cpp（\u63a8\u8350\u7528\u4e8e\u5927\u91cf\u9759\u6001\u6570\u636e）：<\/p>\n

              std::<\/span>vector<<\/span>polygon><\/span> polygons;<\/span> \/\/ <– \u6240\u6709\u591a\u8fb9\u5f62\u5b58\u5728\u8fde\u7eed\u5185\u5b58\u4e2d<\/span>
              \nfor<\/span> (<\/span>.<\/span>.<\/span>.<\/span>)<\/span> {<\/span> \/* \u751f\u6210\u591a\u8fb9\u5f62\u5e76push_back *\/<\/span> }<\/span>
              \n\/\/ R\u6811\u53ea\u5b58(\u5305\u56f4\u76d2, vector\u4e2d\u7684\u7d22\u5f15)<\/span>
              \nrtree.<\/span>insert<\/span>(<\/span>std::<\/span>make_pair<\/span>(<\/span>bg::<\/span>return_envelope<\/span><<\/span>box><\/span><\/span><\/span>(<\/span>polygons[<\/span>i]<\/span>)<\/span>,<\/span> i)<\/span>)<\/span>;<\/span><\/p>\n

              \u4f18\u70b9：\u5185\u5b58\u7d27\u51d1，\u7f13\u5b58\u53cb\u597d；\u7f3a\u70b9：polygons \u5fc5\u987b\u4fdd\u6301\u6709\u6548\u3002<\/p>\n<\/li>\n

            • \n

              SharedPointersPolygon.cpp（\u63a8\u8350\u7528\u4e8e\u52a8\u6001\/\u5171\u4eab\u6570\u636e）：<\/p>\n

              typedef<\/span> std::<\/span>pair<<\/span>box,<\/span> boost::<\/span>shared_ptr<<\/span>polygon>><\/span> value;<\/span>
              \n\/\/ R\u6811\u5b58(\u5305\u56f4\u76d2, \u6307\u5411\u591a\u8fb9\u5f62\u7684\u667a\u80fd\u6307\u9488)<\/span>
              \nrtree.<\/span>insert<\/span>(<\/span>std::<\/span>make_pair<\/span>(<\/span>b,<\/span> p)<\/span>)<\/span>;<\/span><\/p>\n

              \u4f18\u70b9：\u751f\u547d\u5468\u671f\u81ea\u52a8\u7ba1\u7406，\u53ef\u5b89\u5168\u8de8\u51fd\u6570\u4f20\u9012；\u7f3a\u70b9：\u6bcf\u4e2a\u5bf9\u8c61\u72ec\u7acb\u5206\u914d，\u5185\u5b58\u788e\u7247\u7a0d\u591a\u3002<\/p>\n<\/li>\n<\/ul>\n

              \u5171\u540c\u70b9：R \u6811\u6c38\u8fdc\u53ea\u7528\u5305\u56f4\u76d2（AABB）\u505a\u7d22\u5f15，\u8fd9\u662f\u7a7a\u95f4\u7d22\u5f15\u52a0\u901f\u7684\u6838\u5fc3\u2014\u2014\u7528\u7b80\u5355\u7684\u77e9\u5f62\u4ee3\u66ff\u590d\u6742\u7684\u591a\u8fb9\u5f62\u8fdb\u884c\u521d\u6b65\u7b5b\u9009\u3002<\/p>\n

              \n

              3.4 \u7ec8\u6781\u5f62\u6001：\u6df7\u5408\u51e0\u4f55\u7c7b\u578b GeometryMap.cpp<\/h4>\n

              \/\/ 1. \u7528variant\u7edf\u4e00\u51e0\u4f55\u7c7b\u578b<\/span>
              \ntypedef<\/span> boost::<\/span>variant<<\/span>polygon,<\/span> ring,<\/span> linestring><\/span> geometry;<\/span><\/p>\n

              \/\/ 2. \u7528map\u5b58\u50a8: ID -> geometry<\/span>
              \ntypedef<\/span> std::<\/span>map<<\/span>unsigned<\/span>,<\/span> geometry><\/span> geometry_map;<\/span><\/p>\n

              \/\/ 3. R\u6811\u5b58(\u5305\u56f4\u76d2, map\u8fed\u4ee3\u5668)<\/span>
              \ntypedef<\/span> std::<\/span>pair<<\/span>box,<\/span> geometry_map::<\/span>iterator><\/span> value;<\/span><\/p>\n

              \/\/ 4. Visitor\u6a21\u5f0f\u5904\u7406\u4e0d\u540c\u7c7b\u578b<\/span>
              \nstruct<\/span> print_visitor<\/span> :<\/span> public<\/span> boost::<\/span>static_visitor<\/span><<\/span>><\/span><\/span> {<\/span>
              \n void<\/span> operator<\/span>(<\/span>)<\/span>(<\/span>polygon const<\/span>&<\/span> g)<\/span> const<\/span> {<\/span> .<\/span>.<\/span>.<\/span> }<\/span>
              \n void<\/span> operator<\/span>(<\/span>)<\/span>(<\/span>ring const<\/span>&<\/span> g)<\/span> const<\/span> {<\/span> .<\/span>.<\/span>.<\/span> }<\/span>
              \n void<\/span> operator<\/span>(<\/span>)<\/span>(<\/span>linestring const<\/span>&<\/span> g)<\/span> const<\/span> {<\/span> .<\/span>.<\/span>.<\/span> }<\/span>
              \n}<\/span>;<\/span><\/p>\n

              \/\/ \u4f7f\u7528<\/span>
              \nBOOST_FOREACH<\/span>(<\/span>value const<\/span>&<\/span> v,<\/span> result_s)<\/span>
              \n boost::<\/span>apply_visitor<\/span>(<\/span>print_visitor<\/span>(<\/span>)<\/span>,<\/span> v.<\/span>second-><\/span>second)<\/span>;<\/span> \/\/ <– \u8bbf\u95ee\u5177\u4f53\u51e0\u4f55<\/span><\/p>\n

              \u5173\u8054\u5206\u6790：<\/p>\n

                \n
              • boost::variant + static_visitor \u662f C++ \u4e2d\u5904\u7406\u6709\u9650\u7c7b\u578b\u96c6\u5408\u7684\u7ecf\u5178\u6a21\u5f0f，\u6bd4\u865a\u51fd\u6570\u66f4\u9ad8\u6548（\u65e0\u8fd0\u884c\u65f6\u5f00\u9500），\u6bd4 if-else typeid \u66f4\u5b89\u5168\u3002<\/li>\n
              • R \u6811\u901a\u8fc7\u5b58\u50a8 map \u7684\u8fed\u4ee3\u5668，\u95f4\u63a5\u5f15\u7528\u4e86\u539f\u59cb\u51e0\u4f55\u5bf9\u8c61，\u65e2\u4fdd\u6301\u4e86\u7d22\u5f15\u7684\u8f7b\u91cf，\u53c8\u652f\u6301\u4e86\u6570\u636e\u7684\u7075\u6d3b\u6027\u3002<\/li>\n<\/ul>\n
                \n

                4. \u3010\u539f\u7406\u7eb5\u6df1\u3011R \u6811\u7d22\u5f15：\u4e3a\u4ec0\u4e48\u5feb？<\/h3>\n

                R \u6811\u662f\u4e00\u79cd\u5e73\u8861\u6811，\u4e13\u4e3a\u591a\u7ef4\u7a7a\u95f4\u6570\u636e\u8bbe\u8ba1\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f：<\/p>\n

                  \n
                • \u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u6700\u5c0f\u5305\u56f4\u77e9\u5f62（MBR）\u3002<\/li>\n
                • \u53f6\u5b50\u8282\u70b9\u7684 MBR \u5305\u542b\u5b9e\u9645\u6570\u636e\u5bf9\u8c61（\u6216\u5176\u5305\u56f4\u76d2）\u3002<\/li>\n
                • \u975e\u53f6\u5b50\u8282\u70b9\u7684 MBR \u5305\u542b\u5176\u6240\u6709\u5b50\u8282\u70b9\u7684 MBR\u3002<\/li>\n<\/ul>\n

                  \u67e5\u8be2\u8fc7\u7a0b<\/h4>\n
                • \u8303\u56f4\u67e5\u8be2：\u4ece\u6839\u5f00\u59cb，\u9012\u5f52\u68c0\u67e5\u54ea\u4e9b\u5b50 MBR \u4e0e\u67e5\u8be2\u533a\u57df\u76f8\u4ea4，\u526a\u679d\u4e0d\u76f8\u4ea4\u7684\u5206\u652f\u3002<\/li>\n
                • KNN \u67e5\u8be2：\u4f7f\u7528\u4f18\u5148\u961f\u5217，\u6309\u8ddd\u79bb\u6392\u5e8f\u904d\u5386\u8282\u70b9，\u4e00\u65e6\u627e\u5230 K \u4e2a\u4e14\u5269\u4f59\u8282\u70b9\u4e0d\u53ef\u80fd\u66f4\u8fd1，\u5373\u53ef\u505c\u6b62\u3002<\/li>\n

                  \u4e3a\u4ec0\u4e48\u7528\u5305\u56f4\u76d2？<\/h4>\n
                    \n
                  • \u8ba1\u7b97\u7b80\u5355：\u77e9\u5f62\u76f8\u4ea4\u3001\u70b9\u5230\u77e9\u5f62\u8ddd\u79bb\u7684\u8ba1\u7b97\u8fdc\u5feb\u4e8e\u590d\u6742\u591a\u8fb9\u5f62\u3002<\/li>\n
                  • \u8fc7\u6ee4\u9ad8\u6548：\u5148\u7528\u5305\u56f4\u76d2\u5feb\u901f\u6392\u9664\u5927\u91cf\u4e0d\u76f8\u5173\u5bf9\u8c61，\u518d\u5bf9\u5c11\u91cf\u5019\u9009\u505a\u7cbe\u786e\u8ba1\u7b97（\u672c\u6587\u793a\u4f8b\u7701\u7565\u4e86\u7cbe\u786e\u6b65\u9aa4，\u5b9e\u9645\u5e94\u7528\u4e2d\u5e38\u9700\u8865\u5145）\u3002<\/li>\n<\/ul>\n

                    \u5206\u88c2\u7b56\u7565\u5bf9\u6bd4<\/h4>\n
                      \n
                    • quadratic：\u7ecf\u5178\u7b56\u7565，\u5206\u88c2\u8d28\u91cf\u597d，\u6784\u5efa\u7a0d\u6162\u3002<\/li>\n
                    • linear：\u6784\u5efa\u6781\u5feb，\u9002\u5408\u52a8\u6001\u63d2\u5165\u591a\u7684\u573a\u666f\u3002<\/li>\n
                    • rstar：\u4f18\u5316\u4e86\u91cd\u53e0\u548c\u8986\u76d6\u9762\u79ef，\u901a\u5e38\u67e5\u8be2\u6027\u80fd\u6700\u597d\u3002<\/li>\n<\/ul>\n

                      \u9009\u62e9\u54ea\u79cd？\u6ca1\u6709\u94f6\u5f39，\u9700\u6839\u636e\u6570\u636e\u52a8\u6001\u6027\u3001\u67e5\u8be2\u6a21\u5f0f\u6743\u8861\u3002<\/p>\n

                      \n

                      5. \u3010\u5b66\u4ee5\u81f4\u7528\u3011\u603b\u7ed3\u4e0e\u542f\u793a<\/h3>\n

                      \u4ee3\u7801\u7cbe\u7cb9\u603b\u7ed3<\/h4>\n
                    • \u5206\u5c42\u8bbe\u8ba1：R \u6811\u53ea\u8d1f\u8d23\u57fa\u4e8e\u5305\u56f4\u76d2\u7684\u5feb\u901f\u7b5b\u9009，\u590d\u6742\u51e0\u4f55\u64cd\u4f5c\u7559\u7ed9\u4e0a\u5c42\u3002<\/li>\n
                    • \u8d44\u6e90\u7ba1\u7406：\u7075\u6d3b\u8fd0\u7528 vector（\u7d27\u51d1）\u6216 shared_ptr（\u7075\u6d3b）\u7ba1\u7406\u51e0\u4f55\u6570\u636e\u3002<\/li>\n
                    • \u7c7b\u578b\u62bd\u8c61：\u901a\u8fc7\u6a21\u677f\u7279\u5316\u3001Variant+Visitor，\u4f7f\u540c\u4e00\u5957\u7d22\u5f15\u903b\u8f91\u80fd\u5904\u7406\u4efb\u610f\u51e0\u4f55\u7c7b\u578b\u3002<\/li>\n

                      \u53ef\u590d\u7528\u7684\u6a21\u5f0f\/\u6280\u5de7<\/h4>\n
                        \n
                      • \n

                        \u6a21\u5f0f1：\u7d22\u5f15-\u6570\u636e\u5206\u79bb<\/p>\n

                        \/\/ \u7d22\u5f15：rtree<pair<box, size_t>><\/span>
                        \n\/\/ \u6570\u636e：vector<YourComplexType><\/span><\/p>\n

                        \u9002\u7528\u4e8e\u6570\u636e\u9759\u6001\u6216\u751f\u547d\u5468\u671f\u660e\u786e\u7684\u573a\u666f\u3002<\/p>\n<\/li>\n

                      • \n

                        \u6a21\u5f0f2：\u667a\u80fd\u6307\u9488\u76f4\u63a5\u7d22\u5f15<\/p>\n

                        \/\/ \u7279\u5316indexable\u540e<\/span>
                        \n\/\/ \u7d22\u5f15：rtree<shared_ptr<YourType>><\/span><\/p>\n

                        \u9002\u7528\u4e8e\u5bf9\u8c61\u9700\u8981\u5171\u4eab\u6216\u52a8\u6001\u7ba1\u7406\u7684\u573a\u666f\u3002<\/p>\n<\/li>\n<\/ul>\n

                        \u5ef6\u4f38\u601d\u8003\u9898<\/h4>\n
                      • \u7cbe\u786e\u67e5\u8be2：\u672c\u6587\u7684\u8303\u56f4\u67e5\u8be2\u53ea\u4fdd\u8bc1\u201c\u5305\u56f4\u76d2\u76f8\u4ea4\u201d，\u5982\u4f55\u4fee\u6539\u4ee3\u7801\u4ee5\u786e\u4fdd\u201c\u591a\u8fb9\u5f62\u672c\u8eab\u76f8\u4ea4\u201d？（\u63d0\u793a：\u5728 R \u6811\u8fd4\u56de\u5019\u9009\u96c6\u540e，\u7528 bg::intersects(polygon1, polygon2) \u505a\u4e8c\u6b21\u8fc7\u6ee4）<\/li>\n
                      • \u52a8\u6001\u66f4\u65b0：\u5982\u679c\u51e0\u4f55\u5bf9\u8c61\u4f1a\u79fb\u52a8（\u5305\u56f4\u76d2\u53d8\u5316），\u5982\u4f55\u9ad8\u6548\u66f4\u65b0 R \u6811？（\u63d0\u793a：Boost R \u6811\u652f\u6301 remove \u548c insert，\u4f46\u9891\u7e41\u66f4\u65b0\u4f1a\u5f71\u54cd\u6811\u5e73\u8861）<\/li>\n
                      • \u66f4\u9ad8\u7ef4\u5ea6：\u80fd\u5426\u5c06\u8fd9\u4e9b\u4ee3\u7801\u8f7b\u677e\u6269\u5c55\u5230 3D \u7a7a\u95f4？（\u7b54\u6848\u662f\u80af\u5b9a\u7684，\u53ea\u9700\u5c06 point<float, 2, …> \u6539\u4e3a point<float, 3, …>）<\/li>\n
                        \n

                        \u901a\u8fc7\u8fd9\u4e94\u6bb5\u7531\u6d45\u5165\u6df1\u7684\u4ee3\u7801，\u6211\u4eec\u4e0d\u4ec5\u5b66\u4f1a\u4e86\u5982\u4f55\u4f7f\u7528 Boost.Geometry R \u6811，\u66f4\u9886\u7565\u4e86\u73b0\u4ee3 C++ \u5728\u6cdb\u578b\u7f16\u7a0b\u3001\u8d44\u6e90\u7ba1\u7406\u3001\u7c7b\u578b\u7cfb\u7edf\u4e0a\u7684\u5f3a\u5927\u8868\u8fbe\u529b\u3002\u5e0c\u671b\u4f60\u80fd\u5c06\u8fd9\u4e9b\u601d\u60f3\u878d\u5165\u81ea\u5df1\u7684\u9879\u76ee，\u6784\u5efa\u51fa\u66f4\u9ad8\u6548\u3001\u66f4\u5065\u58ee\u7684\u7a7a\u95f4\u6570\u636e\u5904\u7406\u7cfb\u7edf！<\/p>\n

                        \u4ee3\u7801\u94fe\u63a5：https:\/\/gitcode.com\/ma-xiaoxu\/QTBoostGeometryExample<\/p>\n","protected":false},"excerpt":{"rendered":"

                        \u7a7a\u95f4\u7d22\u5f15\u7684\u827a\u672f：Boost.Geometry R\u6811\u5b9e\u6218\u89e3\u6790 \u672c\u6587\u5e26\u4f60\u6df1\u5165\u7406\u89e3\u5982\u4f55\u7528 C \u548c Boost.Geometry \u6784\u5efa\u9ad8\u6548\u7684\u7a7a\u95f4\u7d22\u5f15\u7cfb\u7edf，\u4ece\u7b80\u5355\u7684\u77e9\u5f62\u6846\u5230\u590d\u6742\u7684\u591a\u8fb9\u5f62\u3001\u6298\u7ebf\u751a\u81f3\u6df7\u5408\u51e0\u4f55\u7c7b\u578b，\u4e00\u7f51\u6253\u5c3d\u3002 1. \u3010\u524d\u7f6e\u5fc5\u5907\u3011\u57fa\u7840\u6982\u5ff5\u901f\u89c8
                        \n\u5728\u6df1\u5165\u4ee3\u7801\u524d，\u6211\u4eec\u9700\u8981\u5feb\u901f\u638c\u63e1\u51e0\u4e2a\u5173\u952e\u7684 C \u548c Boost \u6982\u5ff5\u3002\u5b83\u4eec\u4e0d\u662f\u9ad8\u6df1\u7406\u8bba，\u800c\u662f\u7406\u89e3\u672c\u6587\u4ee3\u7801\u7684\u201c\u94a5\u5319\u201d\u3002
                        \n\u6982\u5ff5\u4e00\u53e5\u8bdd\u89e3\u91ca\u4e3a\u4f55\u672c\u6587\u9700\u8981\u5b83RAII\u8d44\u6e90\u83b7\u53d6\u5373\u521d<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[7269,427],"topic":[],"class_list":["post-68862","post","type-post","status-publish","format-standard","hentry","category-server","tag-r-tree","tag-427"],"yoast_head":"\n11.\u7a7a\u95f4\u7d22\u5f15\u7684\u827a\u672f\uff1aBoost.Geometry R\u6811\u5b9e\u6218\u89e3\u6790 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/68862.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"11.\u7a7a\u95f4\u7d22\u5f15\u7684\u827a\u672f\uff1aBoost.Geometry R\u6811\u5b9e\u6218\u89e3\u6790 - 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