{"id":2452,"date":"2022-09-06T01:20:10","date_gmt":"2022-09-05T23:20:10","guid":{"rendered":"https:\/\/magschnee.com\/?p=2452"},"modified":"2022-09-06T01:20:10","modified_gmt":"2022-09-05T23:20:10","slug":"2452","status":"publish","type":"post","link":"http:\/\/wuyujing.com\/index.php\/2022\/09\/06\/2452\/","title":{"rendered":""},"content":{"rendered":"<p>Path Planning in Complex 3D Environments Using a Probabilistic Roadmap Method<br \/>\n<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s11633-013-0750-9\">https:\/\/link.springer.com\/article\/10.1007\/s11633-013-0750-9<\/a><\/p>\n<blockquote>\n<p>\u5bf9\u4e8e\u65e0\u4eba\u673a\u800c\u8a00\uff0c\u8def\u5f84\u89c4\u5212\u5c06\u5728 3D \u73af\u5883\u4e2d\u8fdb\u884c\uff0c\u8fd9\u662f\u4e00\u4e2a\u5f88\u5927\u7684\u6311\u6218\uff0c\u5c24\u5176\u662f\u5728\u590d\u6742\u73af\u5883\u4e2d\u3002\u5e38\u7528\u4e8e\u9ad8\u7ef4\u914d\u7f6e\u7a7a\u95f4\u7684\u65b9\u6cd5\u662f\u57fa\u4e8e\u91c7\u6837\u7684\u65b9\u6cd5\uff0c\u5305\u62ec PRM[ 15 , 16 ] \u53ca\u5176\u53d8\u4f53\u3002PRM \u6709\u4e24\u4e2a\u9636\u6bb5\uff1a\u5b66\u4e60\u9636\u6bb5\u548c\u67e5\u8be2\u9636\u6bb5[ 15 ]\u3002\u5728\u5b66\u4e60\u9636\u6bb5\uff0c\u4e3a\u7ed9\u5b9a\u573a\u666f\u6784\u5efa\u79f0\u4e3a\u8def\u7ebf\u56fe\u7684\u6570\u636e\u7ed3\u6784\u3002\u8def\u7ebf\u56fe\u662f\u4e00\u4e2a\u65e0\u5411\u56feR = ( N, E )\u3002N _\u662f\u4e00\u7ec4\u8282\u70b9\uff0c\u5b83\u4eec\u662f\u4ece\u65e0\u78b0\u649e\u914d\u7f6e\u7a7a\u95f4\u4e2d\u968f\u673a\u91c7\u6837\u7684\u70b9\u3002\u5728\u56fe\u4e2d\u9009\u62e9\u6709\u5e0c\u671b\u7684\u8282\u70b9\u5bf9\uff0c\u5e76\u4f7f\u7528\u672c\u5730\u89c4\u5212\u5668\u5c1d\u8bd5\u5c06\u8fd9\u4e9b\u4f4d\u7f6e\u4e0e\u8fb9\u7f18\u8fde\u63a5\u8d77\u6765\u3002\u5982\u679c\u5b83\u4eec\u53ef\u4ee5\u8fde\u63a5\uff0c\u5219\u5c06\u8fb9\u7f18\u6dfb\u52a0\u5230E\u3002\u4e00\u4e2a\u597d\u7684\u56feR\u5e94\u8be5\u5f88\u597d\u5730\u8986\u76d6\u7a7a\u95f2\u7a7a\u95f4\u3002\u5728\u67e5\u8be2\u9636\u6bb5\uff0c\u8def\u5f84\u901a\u5e38\u901a\u8fc7\u8def\u5f84\u67e5\u8be2\u627e\u5230\uff0c\u4f8b\u5982 Dijkstra \u6216 A*\u3002<\/p>\n<p>\u57fa\u672c PRM \u7684\u74f6\u9888\u5728\u4e8e\u5b83\u96be\u4ee5\u627e\u5230\u7a7f\u8fc7\u72ed\u7a84\u901a\u9053\u7684\u8def\u5f84\u3002\u8fd9\u662f\u7531\u4e8e\u81ea\u7531\u7a7a\u95f4\u4e2d\u7684\u968f\u673a\u91c7\u6837\u8282\u70b9\u5bfc\u81f4\u5728\u72ed\u7a84\u901a\u9053\u4e2d\u653e\u7f6e\u7684\u8282\u70b9\u592a\u5c11\u3002\u4e00\u79cd\u89e3\u51b3\u65b9\u6848\u662f\u5728\u969c\u788d\u7269\u8fb9\u754c\u9644\u8fd1\u6dfb\u52a0\u914d\u7f6e[ 17\u300118 ]\u3002\u5c3d\u7ba1\u8fd9\u79cd\u65b9\u6cd5\u589e\u52a0\u4e86\u5728\u72ed\u7a84\u901a\u9053\u4e2d\u91c7\u6837\u8282\u70b9\u7684\u6982\u7387\uff0c\u4f46\u72ed\u7a84\u901a\u9053\u4e4b\u5916\u7684\u8bb8\u591a\u8282\u70b9\u65e0\u52a9\u4e8e\u6539\u5584\u8def\u7ebf\u56fe\u7684\u8fde\u901a\u6027\u3002Hsu \u7b49\u4eba[ 19 , 20 ] \u63d0\u51fa\u4e86\u4e00\u79cd\u6df7\u5408\u7b56\u7565\uff1a\u5728\u72ed\u7a84\u7684\u901a\u9053\u4e2d\u5e94\u7528\u6865\u63a5\u6d4b\u8bd5\u4ee5\u589e\u52a0\u91c7\u6837\u5bc6\u5ea6\uff0c\u5e76\u5728\u5f00\u653e\u7684\u81ea\u7531\u7a7a\u95f4\u4e2d\u4f7f\u7528\u5747\u5300\u91c7\u6837\u7b56\u7565\u3002\u5728 [ 21]\uff0c\u4f5c\u8005\u901a\u8fc7\u4f7f\u7528\u60f0\u6027\u663e\u7740\u8fb9\u7f18\u7b97\u6cd5\u5c06\u65b0\u6837\u672c\u653e\u7f6e\u5728\u5c1a\u672a\u5bfc\u822a\u7684\u533a\u57df\u4e2d\u6765\u6539\u8fdb\u60f0\u6027\u6982\u7387\u8def\u5f84\u89c4\u5212\u3002\u5728\u8fd9\u4e9b\u65b9\u6cd5\u4e2d\uff0c\u73af\u5883\u7684\u969c\u788d\u7531\u51e0\u4f55\u6a21\u578b\u8868\u793a\u3002<\/p>\n<\/blockquote>\n<p>On the Relationship between Classical Grid Search and Probabilistic Roadmaps<br \/>\n<a href=\"https:\/\/journals.sagepub.com\/doi\/abs\/10.1177\/0278364904045481\">https:\/\/journals.sagepub.com\/doi\/abs\/10.1177\/0278364904045481<\/a><\/p>\n<blockquote>\n<p>2.4. 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