{"id":201062,"date":"2025-05-06T14:36:00","date_gmt":"2025-05-06T06:36:00","guid":{"rendered":"https:\/\/server.hk\/cnblog\/201062\/"},"modified":"2025-05-06T14:36:00","modified_gmt":"2025-05-06T06:36:00","slug":"r-tree-%e5%a6%82%e4%bd%95%e9%ab%98%e6%95%88%e5%9c%b0%e5%ae%9e%e7%8e%b0%e7%a9%ba%e9%97%b4%e7%b4%a2%e5%bc%95%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/server.hk\/cnblog\/201062\/","title":{"rendered":"R-Tree \u5982\u4f55\u9ad8\u6548\u5730\u5b9e\u73b0\u7a7a\u95f4\u7d22\u5f15\uff1f"},"content":{"rendered":"<p><b><\/b> <\/p>\n<h1>R-Tree \u5982\u4f55\u9ad8\u6548\u5730\u5b9e\u73b0\u7a7a\u95f4\u7d22\u5f15\uff1f<\/h1>\n<p>\u600e\u4e48\u5165\u95e8\u6570\u636e\u5e93\u7f16\u7a0b\uff1f\u9700\u8981\u5b66\u4e60\u54ea\u4e9b\u77e5\u8bc6\u70b9\uff1f\u8fd9\u662f\u65b0\u624b\u4eec\u521a\u63a5\u89e6\u7f16\u7a0b\u65f6\u5e38\u89c1\u7684\u95ee\u9898\uff1b\u4e0b\u9762\u4e3b\u673a\u5b9d\u8d1d\u5c31\u6765\u7ed9\u5927\u5bb6\u6574\u7406\u5206\u4eab\u4e00\u4e9b\u77e5\u8bc6\u70b9\uff0c\u5e0c\u671b\u80fd\u591f\u7ed9\u521d\u5b66\u8005\u4e00\u4e9b\u5e2e\u52a9\u3002\u672c\u7bc7\u6587\u7ae0\u5c31\u6765\u4ecb\u7ecd\u300aR-Tree \u5982\u4f55\u9ad8\u6548\u5730\u5b9e\u73b0\u7a7a\u95f4\u7d22\u5f15\uff1f\u300b\uff0c\u6d89\u53ca\u5230\uff0c\u6709\u9700\u8981\u7684\u53ef\u4ee5\u6536\u85cf\u4e00\u4e0b<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241128\/173280551367488389d36df.jpg\" class=\"aligncenter\"><\/p>\n<p><strong>r-tree \u539f\u7406\uff1a\u9ad8\u6548\u5b9e\u73b0\u7a7a\u95f4\u7d22\u5f15<\/strong><\/p>\n<p><strong>r-tree \u539f\u7406<\/strong><\/p>\n<p>r-tree \u662f\u4e00\u4e2a\u57fa\u4e8e\u6811\u578b\u7684\u7a7a\u95f4\u7d22\u5f15\uff0c\u7528\u4e8e\u9ad8\u6548\u7ba1\u7406\u548c\u67e5\u8be2\u591a\u7ef4\u7a7a\u95f4\u6570\u636e\u3002\u5176\u6838\u5fc3\u601d\u60f3\u662f\u5c06\u7a7a\u95f4\u5bf9\u8c61\u805a\u5408\u5230\u4e00\u4e2a\u4e2a\u8fb9\u754c\u77e9\u5f62\uff08mbr\uff09\u4e2d\uff0c\u5229\u7528\u8fd9\u4e9b\u8fb9\u754c\u77e9\u5f62\u6765\u5feb\u901f\u5b9a\u4f4d\u5305\u542b\u76ee\u6807\u7a7a\u95f4\u5bf9\u8c61\u7684\u7a7a\u95f4\u533a\u57df\u3002<\/p>\n<p>r-tree \u7684\u6784\u5efa\u57fa\u4e8e\u4ee5\u4e0b\u89c4\u5219\uff1a<\/p>\n<ul>\n<li><strong>\u8282\u70b9\u5206\u88c2\uff1a<\/strong>\u5f53\u4e00\u4e2a\u8282\u70b9\u4e2d\u7684 mbr \u6570\u91cf\u8d85\u8fc7\u9884\u8bbe\u6700\u5927\u503c\u65f6\uff0c\u8282\u70b9\u4f1a\u5206\u88c2\u6210\u4e24\u4e2a\u8282\u70b9\u3002<\/li>\n<li><strong>\u8282\u70b9\u5408\u5e76\uff1a<\/strong>\u5f53\u4e00\u4e2a\u8282\u70b9\u4e2d\u7684 mbr \u6570\u91cf\u4f4e\u4e8e\u9884\u8bbe\u6700\u5c0f\u503c\u65f6\uff0c\u8282\u70b9\u53ef\u80fd\u4f1a\u4e0e\u90bb\u8fd1\u8282\u70b9\u5408\u5e76\u3002<\/li>\n<li><strong>\u6761\u76ee\uff1a<\/strong>\u6bcf\u4e2a\u8282\u70b9\u5305\u542b\u6761\u76ee\uff0c\u5176\u4e2d\u6761\u76ee\u53ef\u4ee5\u662f\u6570\u636e\u8bb0\u5f55\u7684 mbr\uff0c\u4e5f\u53ef\u4ee5\u662f\u6307\u5411\u5b50\u6811\u7684\u6307\u9488\u3002<\/li>\n<li><strong>\u9009\u62e9\u987a\u5e8f\uff1a<\/strong>\u5728\u63d2\u5165\u548c\u5220\u9664\u64cd\u4f5c\u4e2d\uff0c\u9009\u62e9\u5408\u9002\u7684\u8282\u70b9\u8fdb\u884c\u5206\u88c2\u6216\u5408\u5e76\uff0c\u901a\u5e38\u57fa\u4e8e\u542f\u53d1\u5f0f\u7b97\u6cd5\u3002<\/li>\n<li><strong>\u6700\u5c0f\u5316\u91cd\u53e0\uff1a<\/strong>\u6784\u5efa r-tree \u65f6\uff0c\u5c3d\u91cf\u51cf\u5c11\u8282\u70b9\u7684\u8fb9\u754c\u77e9\u5f62\u8986\u76d6\u8303\u56f4\uff0c\u4ee5\u51cf\u5c11\u6570\u636e\u5197\u4f59\u5e76\u63d0\u9ad8\u67e5\u8be2\u6548\u7387\u3002<\/li>\n<\/ul>\n<p><strong>r-tree \u7684 java \u5b9e\u73b0<\/strong><\/p>\n<p>\u4e3a\u4e86\u8fdb\u4e00\u6b65\u7406\u89e3 r-tree \u7684\u539f\u7406\uff0c\u8fd9\u91cc\u63d0\u4f9b\u4e00\u4e2a\u7b80\u5316\u7684 java \u5b9e\u73b0\uff1a<\/p>\n<pre>class MBR {\n    private double[] min;  \/\/ \u6700\u5c0f\u5750\u6807\n    private double[] max;  \/\/ \u6700\u5927\u5750\u6807\n}\n\nclass RTreeEntry {\n    private MBR mbr;\n    private Object data;\n}\n\nclass RTreeNode {\n    private RTreeEntry[] entries;\n    private int count;\n}\n\nclass RTree {\n    private RTreeNode root;\n\n    \/\/ \u63d2\u5165\u6570\u636e\n    public void insert(Point point) {\n        \/\/ \u5bfb\u627e\u8981\u63d2\u5165\u7684\u8282\u70b9\n        RTreeNode node = searchNodeForInsert(point.getMBR());\n\n        \/\/ \u5982\u679c\u8282\u70b9\u5df2\u6ee1\uff0c\u5219\u5206\u88c2\u8282\u70b9\n        if (node.count == node.entries.length) {\n            splitNode(node);\n        }\n\n        \/\/ \u5411\u8282\u70b9\u6dfb\u52a0\u6761\u76ee\n        node.add(new RTreeEntry(point.getMBR(), point));\n    }\n\n    \/\/ \u5220\u9664\u6570\u636e\n    public void delete(Point point) {\n        \/\/ \u5bfb\u627e\u8981\u5220\u9664\u6761\u76ee\u7684\u8282\u70b9\n        RTreeNode node = searchNodeForDelete(point.getMBR());\n\n        \/\/ \u5728\u8282\u70b9\u4e2d\u5220\u9664\u6761\u76ee\n        node.remove(new RTreeEntry(point.getMBR(), point));\n\n        \/\/ \u5982\u679c\u8282\u70b9\u4e3a\u7a7a\uff0c\u5219\u5408\u5e76\u8282\u70b9\n        if (node.count == 0) {\n            mergeNode(node);\n        }\n    }\n\n    \/\/ \u67e5\u8be2\u6570\u636e\n    public List&lt;Point&gt; search(MBR mbr) {\n        List&lt;Point&gt; results = new ArrayList&lt;&gt;();\n\n        \/\/ \u904d\u5386\u6811\u5e76\u67e5\u627e\u76f8\u4ea4\u7684\u8282\u70b9\n        searchNode(root, mbr, results);\n\n        return results;\n    }\n}<\/pre>\n<p>\u5728\u8fd9\u4e2a\u5b9e\u73b0\u4e2d\uff0cmbr \u8868\u793a\u6570\u636e\u70b9\u7684\u8fb9\u754c\u77e9\u5f62\uff0crtreeentry \u4fdd\u5b58\u4e86 mbr \u548c\u6570\u636e\u5bf9\u8c61\uff0crtreenode \u8868\u793a\u6811\u4e2d\u7684\u8282\u70b9\uff0c\u5305\u542b\u6761\u76ee\u548c\u6570\u91cf\u3002rtree \u7c7b\u7ba1\u7406\u6811\u7684\u7ed3\u6784\u5e76\u63d0\u4f9b\u63d2\u5165\u3001\u5220\u9664\u548c\u67e5\u8be2\u64cd\u4f5c\u3002<\/p>\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u8fd9\u662f\u4e00\u4e2a\u7b80\u5316\u5b9e\u73b0\uff0c\u5b9e\u9645\u7684 r-tree \u5b9e\u73b0\u9700\u8981\u8003\u8651\u66f4\u591a\u7ec6\u8282\uff0c\u4f8b\u5982\u8282\u70b9\u5206\u88c2\u7b97\u6cd5\u548c\u67e5\u8be2\u4f18\u5316\u7b56\u7565\uff0c\u624d\u80fd\u8fbe\u5230\u6700\u4f73\u6027\u80fd\u3002<\/p>\n<p>\u672c\u7bc7\u5173\u4e8e\u300aR-Tree \u5982\u4f55\u9ad8\u6548\u5730\u5b9e\u73b0\u7a7a\u95f4\u7d22\u5f15\uff1f\u300b\u7684\u4ecb\u7ecd\u5c31\u5230\u6b64\u7ed3\u675f\u5566\uff0c\u4f46\u662f\u5b66\u65e0\u6b62\u5883\uff0c\u60f3\u8981\u4e86\u89e3\u5b66\u4e60\u66f4\u591a\u5173\u4e8e\u6570\u636e\u5e93\u7684\u76f8\u5173\u77e5\u8bc6\uff0c\u8bf7\u5173\u6ce8\u4e3b\u673a\u5b9d\u8d1d\u516c\u4f17\u53f7\uff01<\/p>\n<dl>\n<dt>\n <\/dt>\n<\/dl>\n","protected":false},"excerpt":{"rendered":"<p>R-Tree \u5982\u4f55\u9ad8\u6548\u5730\u5b9e\u73b0\u7a7a\u95f4&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-201062","post","type-post","status-publish","format-standard","hentry","category-database"],"_links":{"self":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/201062","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/comments?post=201062"}],"version-history":[{"count":0,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/posts\/201062\/revisions"}],"wp:attachment":[{"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/media?parent=201062"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/categories?post=201062"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/server.hk\/cnblog\/wp-json\/wp\/v2\/tags?post=201062"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}