\u5f53\u4f60\u6253\u5f00\u5730\u56fe\u5e94\u7528\uff0c\u770b\u5230\u81ea\u5df1\u7684\u8dd1\u6b65\u8def\u7ebf\u6216\u8f66\u8f86\u7684\u884c\u9a76\u8f68\u8ff9\u65f6\uff0c\u4f60\u671f\u671b\u770b\u5230\u7684\u662f\u4e00\u6761\u5e73\u6ed1\u8fde\u7eed\u7684\u66f2\u7ebf\uff0c\u800c\u4e0d\u662f\u4e00\u4e32\u7531\u751f\u786c\u6298\u7ebf\u8fde\u63a5\u8d77\u6765\u7684\u70b9\u3002\u5982\u679c\u4f60\u7684\u5e94\u7528\u5c55\u793a\u7684\u662f\u540e\u8005\uff0c\u90a3\u4e48\u4f60\u53ef\u80fd\u5c31\u9047\u5230\u4e86GPS\u6570\u636e\u4e0d\u8fde\u7eed\u7684\u95ee\u9898\u3002<\/p>\n
GPS\u8f68\u8ff9\u63d2\u503c\u7b97\u6cd5\uff0c\u672c\u8d28\u4e0a\u662f\u4e00\u79cd\u6570\u5b66\u65b9\u6cd5\uff0c\u7528\u4e8e\u5728\u7a00\u758f\u3001\u79bb\u6563\u7684\u5df2\u77e5GPS\u5b9a\u4f4d\u70b9\u4e4b\u95f4\uff0c\u901a\u8fc7\u8ba1\u7b97\u521b\u5efa\u51fa\u65b0\u7684\u3001\u865a\u62df\u7684\u5750\u6807\u70b9\u3002\u5b83\u7684\u6838\u5fc3\u76ee\u6807\u662f\u586b\u8865\u6570\u636e\u7a7a\u767d\uff0c\u5c06\u4e0d\u8fde\u7eed\u7684\u201c\u70b9\u5e8f\u5217\u201d\u8f6c\u5316\u4e3a\u89c6\u89c9\u4e0a\u5e73\u6ed1\u3001\u903b\u8f91\u4e0a\u8fde\u7eed\u7684\u201c\u7ebf\u8f68\u8ff9\u201d\uff0c\u4ece\u800c\u66f4\u771f\u5b9e\u5730\u8fd8\u539f\u7269\u7406\u4e16\u754c\u4e2d\u7684\u8fd0\u52a8\u8fc7\u7a0b\u3002\u8fd9\u4e0d\u4ec5\u4ec5\u662f\u4e3a\u4e86\u201c\u597d\u770b\u201d\uff0c\u66f4\u662f\u6570\u636e\u5206\u6790\u4e0e\u5e94\u7528\u7684\u57fa\u7840\u3002<\/p>\n
\u4f60\u53ef\u80fd\u4f1a\u95ee\uff0cGPS\u6570\u636e\u4e3a\u4ec0\u4e48\u4e0d\u662f\u4ece\u4e00\u5f00\u59cb\u5c31\u662f\u8fde\u7eed\u7684\uff1f\u8fd9\u80cc\u540e\u7684\u539f\u56e0\u5f88\u73b0\u5b9e\uff0c\u4e3b\u8981\u6709\u4e09\u70b9\uff1a<\/p>\n
\u8fd9\u4e9b\u56e0\u7d20\u5171\u540c\u5bfc\u81f4\u4e86\u6211\u4eec\u62ff\u5230\u7684\u539f\u59cbGPS\u6570\u636e\uff0c\u5728\u5730\u56fe\u4e0a\u5448\u73b0\u4e3a\u4e00\u7cfb\u5217\u5b64\u7acb\u7684\u70b9\uff0c\u800c\u975e\u4e00\u6761\u8fde\u8d2f\u7684\u7ebf\u3002<\/p>\n
[\u56fe\u8868\u793a\u4f8b\uff1a\u4e00\u5f20\u5730\u56fe\u4e0a\u5c55\u793a\u7a00\u758f\u3001\u79bb\u6563\u7684GPS\u70b9\u3002]<\/p>\n
\u6211\u7684\u76ee\u6807\u4e0d\u662f\u8ba9\u4f60\u80cc\u8bf5\u51e0\u4e2a\u7b97\u6cd5\u540d\u8bcd\u3002\u5728\u8fd9\u7bc7\u6587\u7ae0\u91cc\uff0c\u6211\u5c06\u5e26\u4f60\u4ece\u6700\u57fa\u7840\u7684\u6570\u5b66\u539f\u7406\u51fa\u53d1\uff0c\u7406\u89e3\u4e3b\u6d41\u8f68\u8ff9\u63d2\u503c\u7b97\u6cd5\u7684\u5185\u5728\u903b\u8f91\uff0c\u5e76\u6700\u7ec8\u901a\u8fc7\u53ef\u76f4\u63a5\u8fd0\u884c\u7684Java\u4ee3\u7801\uff0c\u8ba9\u4f60\u5177\u5907\u5728\u81ea\u5df1\u7684\u9879\u76ee\u4e2d\u89e3\u51b3\u8f68\u8ff9\u4e0d\u8fde\u7eed\u95ee\u9898\u7684\u5b9e\u6218\u80fd\u529b\u3002<\/p>\n
\u5728\u6295\u5165\u7cbe\u529b\u53bb\u5b9e\u73b0\u7b97\u6cd5\u4e4b\u524d\uff0c\u6211\u4eec\u5fc5\u987b\u5148\u660e\u786e\u5176\u5546\u4e1a\u548c\u6280\u672f\u4ef7\u503c\u3002\u5bf9\u8f68\u8ff9\u8fdb\u884c\u63d2\u503c\uff0c\u89e3\u51b3\u7684\u662f\u4e09\u4e2a\u5c42\u9762\u7684\u6838\u5fc3\u95ee\u9898\u3002<\/p>\n
\u8fd9\u662f\u6700\u76f4\u89c2\u7684\u95ee\u9898\u3002\u60f3\u8c61\u4e00\u4e0b\uff0c\u5728\u4e00\u4e2a\u7f51\u7ea6\u8f66\u5e94\u7528\u4e2d\uff0c\u4f60\u773c\u770b\u7740\u5730\u56fe\u4e0a\u7684\u6c7d\u8f66\u56fe\u6807\u4ece\u4e00\u4e2a\u8def\u53e3\u77ac\u95f4\u201c\u8df3\u201d\u5230\u4e0b\u4e00\u4e2a\u8def\u53e3\uff0c\u800c\u4e0d\u662f\u5e73\u6ed1\u5730\u884c\u9a76\u8fc7\u53bb\u3002\u8fd9\u79cd\u751f\u786c\u7684\u8df3\u8dc3\u611f\u4f1a\u76f4\u63a5\u7834\u574f\u7528\u6237\u5bf9\u5e94\u7528\u7684\u4fe1\u4efb\u611f\uff0c\u663e\u5f97\u975e\u5e38\u4e0d\u4e13\u4e1a\u3002\u4e00\u4e2a\u7ecf\u8fc7\u63d2\u503c\u4f18\u5316\u7684\u8f68\u8ff9\uff0c\u5219\u80fd\u63d0\u4f9b\u4e1d\u6ed1\u7684\u52a8\u753b\u6548\u679c\uff0c\u6781\u5927\u5730\u63d0\u5347\u7528\u6237\u4f53\u9a8c\u3002<\/p>\n
[\u56fe\u8868\u793a\u4f8b\uff1a\u201c\u4f18\u5316\u524d\u201d\u7684\u6298\u7ebf\u8f68\u8ff9 vs \u201c\u4f18\u5316\u540e\u201d\u7684\u5e73\u6ed1\u66f2\u7ebf\u8f68\u8ff9\u3002]<\/p>\n
\u5982\u679c\u4f60\u7684\u4e1a\u52a1\u9700\u8981\u57fa\u4e8e\u8f68\u8ff9\u6570\u636e\u8fdb\u884c\u5206\u6790\uff0c\u90a3\u4e48\u7a00\u758f\u7684\u6570\u636e\u70b9\u5c06\u662f\u81f4\u547d\u7684\u3002\u4f8b\u5982\uff1a<\/p>\n
\u63d2\u503c\u901a\u8fc7\u589e\u52a0\u6570\u636e\u70b9\u7684\u5bc6\u5ea6\uff0c\u4e3a\u8fdb\u884c\u66f4\u7cbe\u786e\u7684\u3001\u9897\u7c92\u5ea6\u66f4\u7ec6\u7684\u6570\u636e\u5206\u6790\u63d0\u4f9b\u4e86\u57fa\u7840\u3002<\/p>\n
\u5982\u524d\u6240\u8ff0\uff0cGPS\u4fe1\u53f7\u4e22\u5931\u662f\u5e38\u6001\u3002\u5f53\u8f66\u8f86\u8fdb\u5165\u4e00\u6761\u957f\u96a7\u9053\uff0c\u6211\u4eec\u53ef\u80fd\u4f1a\u4e22\u5931\u957f\u8fbe\u6570\u5206\u949f\u7684\u8f68\u8ff9\u6570\u636e\u3002\u901a\u8fc7\u63d2\u503c\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u96a7\u9053\u7684\u5165\u53e3\u548c\u51fa\u53e3\u4e4b\u95f4\uff0c\u6839\u636e\u65f6\u95f4\u4e0e\u901f\u5ea6\u63a8\u7b97\u51fa\u4e00\u7cfb\u5217\u53ef\u80fd\u7684\u8f68\u8ff9\u70b9\uff0c\u5b9e\u73b0\u5bf9\u7f3a\u5931\u6570\u636e\u7684\u6709\u6548\u8865\u507f\u3002\u8fd9\u5bf9\u4e8e\u9700\u8981\u5b8c\u6574\u8f68\u8ff9\u8bb0\u5f55\u7684\u5e94\u7528\uff08\u5982\u7269\u6d41\u8ffd\u8e2a\u3001\u8f66\u961f\u7ba1\u7406\uff09\u81f3\u5173\u91cd\u8981\u3002<\/p>\n
\u73b0\u5728\uff0c\u6211\u4eec\u8fdb\u5165\u6280\u672f\u6838\u5fc3\u3002\u6211\u5c06\u4e3a\u4f60\u89e3\u6790\u4e24\u79cd\u5728\u4e1a\u754c\u5e94\u7528\u6700\u5e7f\u3001\u6700\u5177\u4ee3\u8868\u6027\u7684\u63d2\u503c\u7b97\u6cd5\uff1a\u7ebf\u6027\u63d2\u503c\u548c\u6837\u6761\u63d2\u503c\u3002\u5b83\u4eec\u5206\u522b\u4ee3\u8868\u4e86\u201c\u6548\u7387\u201d\u548c\u201c\u5e73\u6ed1\u201d\u4e24\u4e2a\u4e0d\u540c\u7684\u6280\u672f\u9009\u578b\u65b9\u5411\u3002<\/p>\n
\u7ebf\u6027\u63d2\u503c\u662f\u6240\u6709\u63d2\u503c\u65b9\u6cd5\u4e2d\u6700\u57fa\u7840\u3001\u6700\u7b80\u5355\u7684\u4e00\u79cd\u3002\u5b83\u7684\u601d\u60f3\u6734\u7d20\u800c\u6709\u6548\u3002<\/p>\n
\u7ebf\u6027\u63d2\u503c\u7684\u6838\u5fc3\u601d\u60f3\u6e90\u4e8e\u4e00\u4e2a\u7b80\u5355\u7684\u51e0\u4f55\u76f4\u89c9\uff1a\u4e24\u70b9\u4e4b\u95f4\uff0c\u76f4\u7ebf\u6700\u77ed\u3002<\/p>\n
\u5047\u8bbe\u6211\u4eec\u6709\u4e24\u4e2a\u5df2\u77e5\u7684GPS\u70b9\uff1a<\/p>\n
t1<\/code> \u91c7\u96c6\uff0c\u5750\u6807\u4e3a (lat1, lon1)<\/code><\/li>\n- P2\uff0c\u5728\u65f6\u95f4
t2<\/code> \u91c7\u96c6\uff0c\u5750\u6807\u4e3a (lat2, lon2)<\/code><\/li>\n<\/ul>\n\u73b0\u5728\uff0c\u6211\u4eec\u60f3\u77e5\u9053\u5728 t1<\/code> \u548c t2<\/code> \u4e4b\u95f4\u7684\u4efb\u610f\u4e00\u4e2a\u65f6\u95f4 t_new<\/code>\uff0c\u7269\u4f53\u53ef\u80fd\u5728\u54ea\u4e2a\u4f4d\u7f6e P_new(lat_new, lon_new)<\/code>\u3002<\/p>\n[\u56fe\u8868\u793a\u4f8b\uff1a\u4e24\u4e2a\u5df2\u77e5GPS\u70b9P1(t1, lat1, lon1)\u548cP2(t2, lat2, lon2)\uff0c\u4ee5\u53ca\u5b83\u4eec\u4e4b\u95f4\u5f85\u6c42\u7684\u63d2\u503c\u70b9P_new\u3002]<\/p>\n
\u7ebf\u6027\u63d2\u503c\u6cd5\u8ba4\u4e3a\uff0c\u4eceP1\u5230P2\u7684\u8fd0\u52a8\u662f\u5300\u901f\u76f4\u7ebf\u8fd0\u52a8\u3002\u56e0\u6b64\uff0ct_new<\/code> \u8fd9\u4e2a\u65f6\u95f4\u70b9\u5728\u603b\u65f6\u95f4\u6bb5 (t2 - t1)<\/code> \u4e2d\u6240\u5360\u7684\u6bd4\u4f8b\uff0c\u5c31\u7b49\u4e8e P_new<\/code> \u8fd9\u4e2a\u70b9\u5728\u603b\u4f4d\u79fb (P2 - P1)<\/code> \u4e2d\u6240\u5360\u7684\u6bd4\u4f8b\u3002<\/p>\n\u8fd9\u4e2a\u6bd4\u4f8b ratio<\/code> \u53ef\u4ee5\u8868\u793a\u4e3a\uff1aratio = (t_new - t1) \/ (t2 - t1)<\/code><\/p>\n\u6709\u4e86\u8fd9\u4e2a\u6bd4\u4f8b\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u8ba1\u7b97\u51fa\u65b0\u70b9\u7684\u7ecf\u7eac\u5ea6\uff1alat_new = lat1 + ratio * (lat2 - lat1)<\/code>lon_new = lon1 + ratio * (lon2 - lon1)<\/code><\/p>\n\u8fd9\u5c31\u662f\u7ebf\u6027\u63d2\u503c\u7684\u5168\u90e8\u6570\u5b66\u539f\u7406\u3002\u5b83\u7b80\u5355\u3001\u76f4\u89c2\uff0c\u4e14\u8ba1\u7b97\u91cf\u6781\u5c0f\u3002<\/p>\n
Java\u4ee3\u7801\u5b9e\u6218\uff1a\u624b\u5199\u4e00\u4e2a\u7ebf\u6027\u63d2\u503c\u5668<\/h3>\n
\u5728Java\u4e2d\u5b9e\u73b0\u8fd9\u4e2a\u903b\u8f91\u975e\u5e38\u76f4\u63a5\u3002\u6211\u4eec\u9996\u5148\u9700\u8981\u4e00\u4e2a\u6570\u636e\u7ed3\u6784\u6765\u8868\u793aGPS\u70b9\u3002<\/p>\n
\/\/ \u5b9a\u4e49\u4e00\u4e2aGPS\u70b9\u7684\u6570\u636e\u7ed3\u6784class GPSPoint { long timestamp; \/\/ \u65f6\u95f4\u6233\uff0c\u5355\u4f4d\uff1a\u6beb\u79d2 double latitude; \/\/ \u7eac\u5ea6 double longitude; \/\/ \u7ecf\u5ea6 public GPSPoint(long timestamp, double latitude, double longitude) { this.timestamp = timestamp; this.latitude = latitude; this.longitude = longitude; } @Override public String toString() { return \"GPSPoint{\" + \"timestamp=\" + timestamp + \", latitude=\" + latitude + \", longitude=\" + longitude + \\'}\\'; }}public class TrajectoryInterpolator { \/** * \u5bf9\u4e24\u4e2aGPS\u70b9\u4e4b\u95f4\u8fdb\u884c\u7ebf\u6027\u63d2\u503c * * @param startPoint \u8d77\u59cbGPS\u70b9 * @param endPoint \u7ed3\u675fGPS\u70b9 * @param targetTimestamp \u76ee\u6807\u63d2\u503c\u70b9\u7684\u65f6\u95f4\u6233 * @return \u63d2\u503c\u540e\u7684\u65b0GPSPoint\uff0c\u5982\u679c\u76ee\u6807\u65f6\u95f4\u4e0d\u5728\u533a\u95f4\u5185\u5219\u8fd4\u56denull *\/ public static GPSPoint linearInterpolate(GPSPoint startPoint, GPSPoint endPoint, long targetTimestamp) { \/\/ \u786e\u4fdd\u76ee\u6807\u65f6\u95f4\u5728\u4e24\u4e2a\u70b9\u7684\u65f6\u95f4\u6233\u4e4b\u95f4 if (targetTimestamp <= startPoint.timestamp || targetTimestamp >= endPoint.timestamp) { \/\/ \u5728\u5b9e\u9645\u9879\u76ee\u4e2d\uff0c\u4f60\u53ef\u80fd\u9700\u8981\u66f4\u590d\u6742\u7684\u9519\u8bef\u5904\u7406\u903b\u8f91 return null; } \/\/ \u8ba1\u7b97\u603b\u65f6\u95f4\u5dee\u548c\u603b\u7ecf\u7eac\u5ea6\u5dee long timeDifference = endPoint.timestamp - startPoint.timestamp; double latDifference = endPoint.latitude - startPoint.latitude; double lonDifference = endPoint.longitude - startPoint.longitude; \/\/ \u8ba1\u7b97\u65f6\u95f4\u6bd4\u4f8b long targetTimeOffset = targetTimestamp - startPoint.timestamp; double ratio = (double) targetTimeOffset \/ timeDifference; \/\/ \u6839\u636e\u6bd4\u4f8b\u8ba1\u7b97\u65b0\u7684\u7ecf\u7eac\u5ea6 double interpolatedLat = startPoint.latitude + ratio * latDifference; double interpolatedLon = startPoint.longitude + ratio * lonDifference; return new GPSPoint(targetTimestamp, interpolatedLat, interpolatedLon); } public static void main(String[] args) { \/\/ \u793a\u4f8b\uff1a \/\/ \u5047\u8bbe\u5728 10:00:00 \u83b7\u53d6\u4e00\u4e2a\u70b9 GPSPoint p1 = new GPSPoint(1672538400000L, 39.9042, 116.4074); \/\/ \u5317\u4eac \/\/ \u5728 10:00:10 \u83b7\u53d6\u4e0b\u4e00\u4e2a\u70b9 GPSPoint p2 = new GPSPoint(1672538410000L, 31.2304, 121.4737); \/\/ \u4e0a\u6d77 (\u4e3a\u4e86\u6548\u679c\u5938\u5f20) \/\/ \u6211\u4eec\u60f3\u77e5\u9053\u5728 10:00:05 (\u5373\u4e2d\u95f4\u65f6\u523b) \u7684\u4f4d\u7f6e long targetTime = 1672538405000L; GPSPoint interpolatedPoint = linearInterpolate(p1, p2, targetTime); \/\/ \u8f93\u51fa: GPSPoint{timestamp=1672538405000, latitude=35.5673, longitude=118.94055} \/\/ \u8fd9\u4e2a\u70b9\u6b63\u597d\u662f\u5317\u4eac\u548c\u4e0a\u6d77\u7684\u5730\u7406\u4e2d\u70b9 System.out.println(interpolatedPoint); }}<\/code><\/pre>\n\u4f18\u7f3a\u70b9\u4e0e\u9002\u7528\u573a\u666f<\/h3>\n\n- \u4f18\u70b9\uff1a<\/strong> \u8ba1\u7b97\u91cf\u6781\u5c0f\uff0c\u5b9e\u73b0\u975e\u5e38\u7b80\u5355\uff0c\u6027\u80fd\u6781\u9ad8\u3002\u5bf9\u4e8e\u5927\u89c4\u6a21\u8f68\u8ff9\u6570\u636e\u7684\u540e\u7aef\u9884\u5904\u7406\uff0c\u8fd9\u662f\u4e00\u4e2a\u6781\u5177\u5438\u5f15\u529b\u7684\u9009\u62e9\u3002<\/li>\n
- \u7f3a\u70b9\uff1a<\/strong> \u6700\u5927\u7684\u95ee\u9898\u5728\u4e8e\u8f68\u8ff9\u7684\u5e73\u6ed1\u5ea6\u3002\u7531\u4e8e\u53ea\u8003\u8651\u524d\u540e\u4e24\u70b9\uff0c\u63d2\u503c\u51fa\u7684\u8f68\u8ff9\u5728\u8fde\u63a5\u5904\u4f1a\u4ea7\u751f\u660e\u663e\u7684\u62d0\u70b9\uff0c\u5f62\u6210\u6298\u7ebf\u3002\u8fd9\u5728\u6570\u5b66\u4e0a\u88ab\u79f0\u4e3a C0 \u8fde\u7eed\uff08\u4f4d\u7f6e\u8fde\u7eed\uff0c\u4f46\u4e00\u9636\u5bfc\u6570\u5373\u901f\u5ea6\u4e0d\u8fde\u7eed\uff09\uff0c\u4e0d\u7b26\u5408\u771f\u5b9e\u4e16\u754c\u4e2d\u8f66\u8f86\u6216\u884c\u4eba\u7684\u8fd0\u52a8\u89c4\u5f8b\uff08\u901f\u5ea6\u4e0d\u53ef\u80fd\u77ac\u65f6\u6539\u53d8\uff09\u3002<\/li>\n
- \u9002\u7528\u573a\u666f\uff1a<\/strong> \u5bf9\u5e73\u6ed1\u5ea6\u8981\u6c42\u4e0d\u9ad8\u7684\u540e\u7aef\u6570\u636e\u5904\u7406\u3001\u6570\u636e\u586b\u5145\u4e0e\u8865\u507f\u3001\u8ba1\u7b97\u8d44\u6e90\u6781\u4e3a\u53d7\u9650\u7684\u5d4c\u5165\u5f0f\u73af\u5883\uff0c\u6216\u4f5c\u4e3a\u66f4\u590d\u6742\u7b97\u6cd5\u7684\u9884\u5904\u7406\u6b65\u9aa4\u3002<\/li>\n<\/ul>\n
\u65b9\u6cd5\u4e8c\uff1a\u6837\u6761\u63d2\u503c (Spline Interpolation) - \u5b9e\u73b0\u4e1d\u6ed1\u8f68\u8ff9\u7684\u5173\u952e<\/h2>\n
\u5f53\u7ebf\u6027\u63d2\u503c\u7684\u201c\u6298\u7ebf\u611f\u201d\u65e0\u6cd5\u6ee1\u8db3\u4f60\u7684\u9700\u6c42\u65f6\uff0c\u5c31\u9700\u8981\u5f15\u5165\u66f4\u9ad8\u7ea7\u7684\u6837\u6761\u63d2\u503c\u3002<\/p>\n
\u4e3a\u4ec0\u4e48\u7ebf\u6027\u63d2\u503c\u4e0d\u591f\u597d\uff1f<\/h3>\n
\u8fd9\u91cc\u6211\u4eec\u9700\u8981\u5f15\u5165\u4e00\u4e2a\u201c\u8fde\u7eed\u6027\u201d\u7684\u6982\u5ff5\u6765\u91cf\u5316\u201c\u5e73\u6ed1\u201d\u3002<\/p>\n
\n- C0 \u8fde\u7eed\uff1a<\/strong> \u4f4d\u7f6e\u8fde\u7eed\u3002\u66f2\u7ebf\u6ca1\u6709\u65ad\u70b9\uff0c\u4f46\u53ef\u4ee5\u6709\u5c16\u89d2\u3002\u7ebf\u6027\u63d2\u503c\u80fd\u4fdd\u8bc1\u8fd9\u4e00\u70b9\u3002<\/li>\n
- C1 \u8fde\u7eed\uff1a<\/strong> \u4e00\u9636\u5bfc\u6570\u8fde\u7eed\u3002\u8fd9\u610f\u5473\u7740\u66f2\u7ebf\u4e0d\u4ec5\u4f4d\u7f6e\u8fde\u7eed\uff0c\u800c\u4e14\u5728\u8fde\u63a5\u70b9\u5904\u7684\u5207\u7ebf\uff08\u53ef\u4ee5\u7406\u89e3\u4e3a\u901f\u5ea6\uff09\u4e5f\u662f\u8fde\u7eed\u7684\uff0c\u6ca1\u6709\u7a81\u53d8\u3002\u8fd9\u4fdd\u8bc1\u4e86\u8f68\u8ff9\u6ca1\u6709\u5c16\u89d2\u3002<\/li>\n
- C2 \u8fde\u7eed\uff1a<\/strong> \u4e8c\u9636\u5bfc\u6570\u8fde\u7eed\u3002\u8fd9\u610f\u5473\u7740\u52a0\u901f\u5ea6\u4e5f\u662f\u8fde\u7eed\u7684\u3002\u8fd9\u80fd\u4ea7\u751f\u6700\u5e73\u6ed1\u3001\u6700\u7b26\u5408\u7269\u7406\u8fd0\u52a8\u76f4\u89c9\u7684\u66f2\u7ebf\u3002<\/li>\n<\/ul>\n
\u7ebf\u6027\u63d2\u503c\u53ea\u80fd\u505a\u5230 C0 \u8fde\u7eed\uff0c\u800c\u6837\u6761\u63d2\u503c\u901a\u5e38\u80fd\u8fbe\u5230 C1 \u6216 C2 \u8fde\u7eed\uff0c\u8fd9\u6b63\u662f\u5b83\u80fd\u4ea7\u751f\u201c\u4e1d\u6ed1\u201d\u8f68\u8ff9\u7684\u6839\u672c\u539f\u56e0\u3002<\/p>\n
\u6837\u6761\u63d2\u503c\u539f\u7406\u5165\u95e8<\/h3>\n
\u6837\u6761\u63d2\u503c\u7684\u6838\u5fc3\u601d\u60f3\u662f\uff1a\u4e0d\u518d\u5b64\u7acb\u5730\u53ea\u770b\u76f8\u90bb\u7684\u4e24\u4e2a\u70b9\uff0c\u800c\u662f\u7528\u4e00\u5c0f\u6bb5\u8fde\u7eed\u7684\u70b9\uff08\u901a\u5e38\u662f4\u4e2a\uff0c\u79f0\u4e3a\u63a7\u5236\u70b9\uff09\u6765\u5171\u540c\u51b3\u5b9a\u4e00\u5c0f\u6bb5\u66f2\u7ebf\u7684\u5f62\u72b6\u3002\u5b83\u901a\u8fc7\u6c42\u89e3\u4e00\u4e2a\u591a\u9879\u5f0f\u65b9\u7a0b\u7ec4\uff0c\u6765\u751f\u6210\u4e00\u6761\u7a7f\u8fc7\u6216\u63a5\u8fd1\u8fd9\u4e9b\u63a7\u5236\u70b9\u7684\u5e73\u6ed1\u66f2\u7ebf\u3002<\/p>\n
\u5e38\u89c1\u7684\u6837\u6761\u6709\u591a\u79cd\uff0c\u5982 B \u6837\u6761\u3001\u8d1d\u585e\u5c14\u66f2\u7ebf\u3001Catmull-Rom \u6837\u6761\u7b49\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u91cd\u70b9\u4ecb\u7ecd Catmull-Rom \u6837\u6761<\/strong>\uff0c\u56e0\u4e3a\u5b83\u6709\u4e00\u4e2a\u975e\u5e38\u76f4\u89c2\u4e14\u5b9e\u7528\u7684\u7279\u6027\uff1a\u751f\u6210\u7684\u66f2\u7ebf\u4e00\u5b9a\u4f1a\u7a7f\u8fc7\u6240\u6709\u7684\u63a7\u5236\u70b9<\/strong>\u3002\u8fd9\u5bf9\u4e8eGPS\u8f68\u8ff9\u63d2\u503c\u975e\u5e38\u7406\u60f3\uff0c\u56e0\u4e3a\u6211\u4eec\u5e0c\u671b\u63d2\u503c\u540e\u7684\u8f68\u8ff9\u80fd\u5fe0\u5b9e\u4e8e\u539f\u59cb\u7684\u91c7\u6837\u6570\u636e\u3002<\/p>\n[\u56fe\u8868\u793a\u4f8b\uff1a4\u4e2a\u63a7\u5236\u70b9\u4e0e\u751f\u6210\u7684Catmull-Rom\u6837\u6761\u66f2\u7ebf\uff0c\u5c55\u793a\u5176\u5e73\u6ed1\u8fc7\u6e21\u7684\u7279\u6027\u3002]<\/p>\n
Catmull-Rom \u6837\u6761\u901a\u8fc7 P1, P2, P3, P4 \u56db\u4e2a\u70b9\u6765\u8ba1\u7b97 P2 \u5230 P3 \u4e4b\u95f4\u7684\u66f2\u7ebf\u3002\u5b83\u7efc\u5408\u8003\u8651\u4e86 P2 \u70b9\u7684\u201c\u6765\u5411\u201d\uff08\u7531 P1->P2 \u51b3\u5b9a\uff09\u548c P3 \u70b9\u7684\u201c\u53bb\u5411\u201d\uff08\u7531 P3->P4 \u51b3\u5b9a\uff09\uff0c\u4ece\u800c\u5728 P2 \u548c P3 \u5904\u751f\u6210\u4e86\u5e73\u6ed1\u7684\u8fc7\u6e21\uff0c\u907f\u514d\u4e86\u7ebf\u6027\u63d2\u503c\u7684\u5c16\u89d2\u3002<\/p>\n
Java\u4ee3\u7801\u5b9e\u6218\uff1a\u5229\u7528\u7b2c\u4e09\u65b9\u5e93\u5b9e\u73b0\u5e73\u6ed1\u63d2\u503c<\/h3>\n
\u4ece\u96f6\u5f00\u59cb\u624b\u5199\u4e00\u4e2a\u6837\u6761\u63d2\u503c\u7b97\u6cd5\uff0c\u9700\u8981\u624e\u5b9e\u7684\u7ebf\u6027\u4ee3\u6570\u548c\u6570\u503c\u5206\u6790\u77e5\u8bc6\uff0c\u4e14\u5bb9\u6613\u51fa\u9519\u3002\u5728\u5de5\u7a0b\u5b9e\u8df5\u4e2d\uff0c\u4e00\u4e2a\u66f4\u52a1\u5b9e\u3001\u66f4\u53ef\u9760\u7684\u9009\u62e9\u662f\u5229\u7528\u6210\u719f\u7684\u6570\u5b66\u5e93\u3002Apache Commons Math<\/strong> \u5c31\u662f\u4e00\u4e2a\u975e\u5e38\u51fa\u8272\u7684\u9009\u62e9\u3002<\/p>\n\u4e0b\u9762\u7684\u4ee3\u7801\u6f14\u793a\u4e86\u5982\u4f55\u4f7f\u7528 org.apache.commons.math3.analysis.interpolation.SplineInterpolator<\/code> \u6765\u5b9e\u73b0\u6837\u6761\u63d2\u503c\u3002<\/p>\nimport org.apache.commons.math3.analysis.interpolation.SplineInterpolator;import org.apache.commons.math3.analysis.polynomials.PolynomialSplineFunction;import java.util.Arrays;import java.util.List;import java.util.stream.Collectors;import java.util.stream.IntStream;\/\/ \u786e\u4fdd\u5df2\u5728\u9879\u76ee\u4e2d\u5f15\u5165 Apache Commons Math \u4f9d\u8d56\/\/ Maven:\/\/ \/\/ org.apache.commons<\/groupId>\/\/ commons-math3<\/artifactId>\/\/ 3.6.1<\/version>\/\/ <\/dependency>public class SplineTrajectoryInterpolator { public static List splineInterpolate(List originalTrack, int numberOfPoints) { if (originalTrack == null || originalTrack.size() < 2) { throw new IllegalArgumentException(\"\u539f\u59cb\u8f68\u8ff9\u70b9\u5fc5\u987b\u81f3\u5c11\u5305\u542b2\u4e2a\u70b9\u3002\"); } \/\/ \u63d0\u53d6\u65f6\u95f4\u6233\u3001\u7eac\u5ea6\u548c\u7ecf\u5ea6\u6570\u7ec4 double[] timestamps = originalTrack.stream().mapToDouble(p -> p.timestamp).toArray(); double[] latitudes = originalTrack.stream().mapToDouble(p -> p.latitude).toArray(); double[] longitudes = originalTrack.stream().mapToDouble(p -> p.longitude).toArray(); \/\/ \u521b\u5efa\u6837\u6761\u63d2\u503c\u5668 SplineInterpolator interpolator = new SplineInterpolator(); \/\/ \u5206\u522b\u5bf9\u7eac\u5ea6\u548c\u7ecf\u5ea6\u8fdb\u884c\u63d2\u503c PolynomialSplineFunction latFunction = interpolator.interpolate(timestamps, latitudes); PolynomialSplineFunction lonFunction = interpolator.interpolate(timestamps, longitudes); \/\/ \u751f\u6210\u65b0\u7684\u3001\u66f4\u5bc6\u96c6\u7684\u65f6\u95f4\u6233\u5e8f\u5217 long startTime = originalTrack.get(0).timestamp; long endTime = originalTrack.get(originalTrack.size() - 1).timestamp; long timeStep = (endTime - startTime) \/ (numberOfPoints - 1); \/\/ \u4f7f\u7528\u63d2\u503c\u51fd\u6570\u8ba1\u7b97\u6bcf\u4e2a\u65b0\u65f6\u95f4\u6233\u5bf9\u5e94\u7684\u7ecf\u7eac\u5ea6 return IntStream.range(0, numberOfPoints) .mapToLong(i -> startTime + i * timeStep) .mapToObj(newTimestamp -> new GPSPoint( newTimestamp, latFunction.value(newTimestamp), lonFunction.value(newTimestamp) )) .collect(Collectors.toList()); } public static void main(String[] args) { \/\/ \u8f93\u5165\uff1a\u4e00\u4e2aGPS\u70b9\u5e8f\u5217 List track = Arrays.asList( new GPSPoint(0, 39.9, 116.4), new GPSPoint(10000, 39.95, 116.45), new GPSPoint(20000, 39.9, 116.5), new GPSPoint(30000, 39.85, 116.45) ); \/\/ \u76ee\u6807\uff1a\u5c064\u4e2a\u70b9\u63d2\u503c\u4e3a10\u4e2a\u70b9\u7684\u5e73\u6ed1\u8f68\u8ff9 List smoothedTrack = splineInterpolate(track, 10); \/\/ \u8f93\u51fa\uff1a\u4e00\u4e2a\u66f4\u5bc6\u96c6\u7684\u3001\u5e73\u6ed1\u7684GPS\u70b9\u5e8f\u5217 smoothedTrack.forEach(System.out::println); }}<\/code><\/pre>\n\u4f18\u7f3a\u70b9\u4e0e\u9002\u7528\u573a\u666f<\/h3>\n\n- \u4f18\u70b9\uff1a<\/strong> \u80fd\u591f\u751f\u6210 C2 \u8fde\u7eed\u7684\u5e73\u6ed1\u8f68\u8ff9\uff0c\u89c6\u89c9\u6548\u679c\u6781\u4f73\uff0c\u66f4\u771f\u5b9e\u5730\u6a21\u62df\u4e86\u7269\u7406\u4e16\u754c\u7684\u8fd0\u52a8\u8fc7\u7a0b\u3002<\/li>\n
- \u7f3a\u70b9\uff1a<\/strong> \u8ba1\u7b97\u76f8\u5bf9\u590d\u6742\uff0c\u6027\u80fd\u5f00\u9500\u6bd4\u7ebf\u6027\u63d2\u503c\u5927\u3002\u5bf9\u4e8e\u6d77\u91cf\u6570\u636e\u7684\u5b9e\u65f6\u5904\u7406\uff0c\u9700\u8981\u8bc4\u4f30\u5176\u6027\u80fd\u5f71\u54cd\u3002<\/li>\n
- \u9002\u7528\u573a\u666f\uff1a<\/strong> \u5bf9\u8f68\u8ff9\u5e73\u6ed1\u5ea6\u6709\u9ad8\u8981\u6c42\u7684\u573a\u666f\uff0c\u5982\u5730\u56fe\u8f68\u8ff9\u53ef\u89c6\u5316\uff08\u7f51\u7ea6\u8f66\u3001\u5916\u5356\u3001\u8dd1\u6b65\u5e94\u7528\uff09\u3001\u8fd0\u52a8\u8f68\u8ff9\u52a8\u753b\u6a21\u62df\u3001\u9ad8\u7cbe\u5ea6\u7684\u9a7e\u9a76\u884c\u4e3a\u5206\u6790\u7b49\u3002<\/li>\n<\/ul>\n
\u6280\u672f\u9009\u578b\uff1a\u7ebf\u6027\u63d2\u503c vs. \u6837\u6761\u63d2\u503c\uff0c\u6211\u8be5\u7528\u54ea\u4e2a\uff1f<\/h2>\n
\u4e0d\u5b58\u5728\u7edd\u5bf9\u7684\u201c\u6700\u4f18\u201d\u7b97\u6cd5\uff0c\u53ea\u6709\u201c\u6700\u5408\u9002\u201d\u7684\u65b9\u6848\u3002\u4f60\u7684\u9009\u62e9\u53d6\u51b3\u4e8e\u4e1a\u52a1\u9700\u6c42\u3001\u6027\u80fd\u9884\u7b97\u548c\u5f00\u53d1\u6210\u672c\u4e4b\u95f4\u7684\u6743\u8861\u3002<\/p>\n
\u5bf9\u6bd4\u8868\u683c<\/h3>\n
\n\n\n\u7279\u6027<\/th>\n \u7ebf\u6027\u63d2\u503c<\/th>\n \u6837\u6761\u63d2\u503c<\/th>\n<\/tr>\n<\/thead>\n \n\n\u5e73\u6ed1\u5ea6<\/strong><\/td>\n\u4f4e\uff08C0\u8fde\u7eed\uff0c\u6709\u6298\u89d2\uff09<\/td>\n \u9ad8\uff08C2\u8fde\u7eed\uff0c\u66f2\u7ebf\u8fc7\u6e21\uff09<\/td>\n<\/tr>\n \n\u8ba1\u7b97\u590d\u6742\u5ea6<\/strong><\/td>\n\u6781\u4f4e<\/td>\n \u4e2d\u7b49<\/td>\n<\/tr>\n \n\u5b9e\u73b0\u96be\u5ea6<\/strong><\/td>\n\u7b80\u5355\uff08\u53ef\u624b\u5199\uff09<\/td>\n \u8f83\u590d\u6742\uff08\u63a8\u8350\u4f9d\u8d56\u5e93\uff09<\/td>\n<\/tr>\n \n\u8d44\u6e90\u6d88\u8017<\/strong><\/td>\n\u4f4e<\/td>\n \u4e2d\u7b49<\/td>\n<\/tr>\n \n\u9002\u7528\u573a\u666f<\/strong><\/td>\n\u540e\u7aef\u5feb\u901f\u5904\u7406\u3001\u6570\u636e\u586b\u5145\u3001\u4f4e\u529f\u8017\u8bbe\u5907<\/td>\n \u524d\u7aef\u53ef\u89c6\u5316\u3001\u8f68\u8ff9\u7f8e\u5316\u3001\u9ad8\u7cbe\u5ea6\u5206\u6790<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n\u51b3\u7b56\u5efa\u8bae<\/h3>\n
\u8fd9\u662f\u4e00\u4e2a\u5178\u578b\u7684\u5de5\u7a0b\u51b3\u7b56\uff0c\u6211\u7684\u5efa\u8bae\u662f\uff1a<\/p>\n
\n- \u8ffd\u6c42\u6027\u80fd\u548c\u6548\u7387\u7684\u540e\u7aef\u670d\u52a1\uff1a<\/strong> \u5982\u679c\u4f60\u7684\u670d\u52a1\u9700\u8981\u5728\u540e\u53f0\u5904\u7406\u6570\u767e\u4e07\u6761\u8f68\u8ff9\uff0c\u8fdb\u884c\u6570\u636e\u6e05\u6d17\u548c\u91cc\u7a0b\u8ba1\u7b97\uff0c\u4f18\u5148\u9009\u62e9\u7ebf\u6027\u63d2\u503c<\/strong>\u3002\u5b83\u7684\u6027\u80fd\u4f18\u52bf\u662f\u538b\u5012\u6027\u7684\uff0c\u8db3\u4ee5\u6ee1\u8db3\u7edd\u5927\u591a\u6570\u6570\u636e\u5206\u6790\u7684\u7cbe\u5ea6\u8981\u6c42\u3002<\/li>\n
- \u8ffd\u6c42\u7528\u6237\u4f53\u9a8c\u548c\u89c6\u89c9\u6548\u679c\u7684\u524d\u7aef\u5c55\u793a\uff1a<\/strong> \u5982\u679c\u4f60\u7684\u5e94\u7528\u9700\u8981\u5728\u5730\u56fe\u4e0a\u5b9e\u65f6\u7ed8\u5236\u8f66\u8f86\u6216\u7528\u6237\u7684\u79fb\u52a8\u8f68\u8ff9\uff0c\u4f18\u5148\u9009\u62e9\u6837\u6761\u63d2\u503c<\/strong>\u3002\u5b83\u5e26\u6765\u7684\u5e73\u6ed1\u89c6\u89c9\u4f53\u9a8c\u662f\u63d0\u5347\u4ea7\u54c1\u54c1\u8d28\u7684\u5173\u952e\u3002<\/li>\n<\/ul>\n
\u4e00\u4e2a\u5e38\u89c1\u7684\u67b6\u6784\u662f\uff1a\u540e\u7aef\u4f7f\u7528\u7ebf\u6027\u63d2\u503c\u8fdb\u884c\u6570\u636e\u5b58\u50a8\u548c\u57fa\u7840\u5206\u6790\uff0c\u5f53\u6570\u636e\u9700\u8981\u63a8\u9001\u5230\u524d\u7aef\u5c55\u793a\u65f6\uff0c\u518d\u7531\u524d\u7aef\u6216\u4e00\u4e2a\u4e13\u95e8\u7684\u53ef\u89c6\u5316\u670d\u52a1\u8fdb\u884c\u6837\u6761\u63d2\u503c\uff0c\u5b9e\u73b0\u5e73\u6ed1\u6e32\u67d3\u3002<\/p>\n
\u5ef6\u4f38\u63a2\u8ba8\uff1aGPS\u6570\u636e\u5904\u7406\u7684\u66f4\u591a\u6280\u672f<\/h2>\n
\u63d2\u503c\u53ea\u662fGPS\u6570\u636e\u5904\u7406\u94fe\u8def\u4e2d\u7684\u4e00\u73af\u3002\u4e00\u4e2a\u5b8c\u6574\u7684\u3001\u9ad8\u8d28\u91cf\u7684\u8f68\u8ff9\u4f18\u5316\u6d41\u7a0b\u8fd8\u5e94\u5305\u62ec\u4ee5\u4e0b\u6280\u672f\u3002<\/p>\n
\u8f68\u8ff9\u5e73\u6ed1\u4e0e\u53bb\u566a<\/h3>\n
GPS\u4fe1\u53f7\u4f1a\u53d7\u5230\u5404\u79cd\u5e72\u6270\uff0c\u4ea7\u751f\u201c\u6f02\u79fb\u70b9\u201d\u6216\u201c\u566a\u70b9\u201d\u3002\u8f68\u8ff9\u5e73\u6ed1\u7b97\u6cd5\uff0c\u5982\u5361\u5c14\u66fc\u6ee4\u6ce2\uff08Kalman Filter\uff09\u6216\u7b80\u5355\u7684<\/strong>\u79fb\u52a8\u5e73\u5747\u6cd5<\/strong>\uff0c\u7528\u4e8e\u6d88\u9664\u8fd9\u4e9b\u566a\u58f0\uff0c\u8ba9\u8f68\u8ff9\u66f4\u63a5\u8fd1\u771f\u5b9e\u8def\u5f84\u3002<\/p>\n\u8bf7\u52a1\u5fc5\u533a\u5206\uff1a\u63d2\u503c\u662f\u201c\u65e0\u4e2d\u751f\u6709\u201d<\/strong>\uff0c\u5728\u6ca1\u6709\u6570\u636e\u7684\u5730\u65b9\u521b\u9020\u6570\u636e\uff1b\u5e73\u6ed1\u662f\u201c\u53bb\u829c\u5b58\u83c1\u201d<\/strong>\uff0c\u5728\u5df2\u6709\u6570\u636e\u7684\u57fa\u7840\u4e0a\u4fee\u6b63\u8bef\u5dee\u3002<\/p>\n\u8f68\u8ff9\u8865\u507f\u4e0e\u5730\u56fe\u5339\u914d\uff08Map-Matching\uff09<\/h3>\n
\u5373\u4f7f\u7ecf\u8fc7\u4e86\u63d2\u503c\u548c\u5e73\u6ed1\uff0c\u8f68\u8ff9\u4ecd\u7136\u53ef\u80fd\u56e0\u4e3aGPS\u5b9a\u4f4d\u8bef\u5dee\u800c\u504f\u79bb\u5b9e\u9645\u9053\u8def\u3002\u5730\u56fe\u5339\u914d\u6280\u672f\uff0c\u80fd\u5c06\u4f18\u5316\u540e\u7684\u8f68\u8ff9\u201c\u5438\u9644\u201d\u5230\u5730\u56fe\u7684\u9053\u8def\u7f51\u7edc\u4e0a\uff0c\u5b9e\u73b0\u66f4\u9ad8\u7ef4\u5ea6\u7684\u8f68\u8ff9\u4f18\u5316\u3002\u4f8b\u5982\uff0c\u5b83\u80fd\u7ea0\u6b63\u4e00\u4e2a\u7565\u5fae\u504f\u79bb\u9ad8\u67b6\u6865\u7684\u8f68\u8ff9\uff0c\u4f7f\u5176\u5b8c\u5168\u543b\u5408\u5728\u9ad8\u67b6\u6865\u4e0a\u3002\u8fd9\u662f\u5b9e\u73b0\u9ad8\u7cbe\u5ea6\u5bfc\u822a\u548c\u4f4d\u7f6e\u670d\u52a1\u7684\u5173\u952e\u4e00\u6b65\u3002<\/p>\n
\u5e38\u89c1\u95ee\u9898 (FAQ)<\/h2>\n\u54ea\u79cd\u63d2\u503c\u7b97\u6cd5\u6548\u679c\u6700\u597d\uff1f<\/h3>\n
\u4e0d\u5b58\u5728\u7edd\u5bf9\u7684\u201c\u6700\u597d\u201d\uff0c\u53ea\u6709\u201c\u6700\u5408\u9002\u201d\u3002\u4f60\u7684\u9009\u62e9\u5fc5\u987b\u57fa\u4e8e\u5bf9\u5e73\u6ed1\u5ea6\u3001\u8ba1\u7b97\u6027\u80fd\u548c\u5b9e\u73b0\u590d\u6742\u5ea6\u7684\u7efc\u5408\u6743\u8861\u3002\u5bf9\u4e8e99%\u7684LBS\u5e94\u7528\uff0c\u7ebf\u6027\u548c\u6837\u6761\u63d2\u503c\uff08\u5c24\u5176\u662f\u57fa\u4e8e\u5e93\u7684\u5b9e\u73b0\uff09\u5df2\u7ecf\u80fd\u5b8c\u7f8e\u5730\u89e3\u51b3\u95ee\u9898\u3002<\/p>\n
\u5982\u4f55\u8bc4\u4f30\u63d2\u503c\u7ed3\u679c\u7684\u51c6\u786e\u6027\uff1f<\/h3>\n
\u8fd9\u662f\u4e00\u4e2a\u975e\u5e38\u597d\u7684\u95ee\u9898\uff0c\u5b83\u4f53\u73b0\u4e86\u5de5\u7a0b\u5e08\u5bf9\u8d28\u91cf\u7684\u8ffd\u6c42\u3002\u6709\u4e09\u79cd\u5e38\u7528\u65b9\u6cd5\uff1a<\/p>\n
\n- \u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong> \u4ece\u4e00\u6bb5\u5bc6\u96c6\u7684\u539f\u59cb\u6570\u636e\u4e2d\uff0c\u6545\u610f\u79fb\u9664\u4e00\u4e2a\u70b9\uff0c\u7136\u540e\u7528\u5176\u76f8\u90bb\u70b9\u8fdb\u884c\u63d2\u503c\uff0c\u751f\u6210\u4e00\u4e2a\u65b0\u70b9\u3002\u6700\u540e\uff0c\u6bd4\u8f83\u8fd9\u4e2a\u63d2\u503c\u70b9\u4e0e\u88ab\u79fb\u9664\u7684\u539f\u59cb\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u8ddd\u79bb\u8d8a\u5c0f\uff0c\u8bf4\u660e\u7b97\u6cd5\u5728\u8be5\u573a\u666f\u4e0b\u8d8a\u51c6\u786e\u3002<\/li>\n
- \u7269\u7406\u4e00\u81f4\u6027\u68c0\u67e5\uff1a<\/strong> \u68c0\u67e5\u63d2\u503c\u540e\u7684\u8f68\u8ff9\u662f\u5426\u4ea7\u751f\u4e86\u4e0d\u5408\u7406\u7684\u7269\u7406\u73b0\u8c61\uff0c\u4f8b\u5982\u77ac\u65f6\u901f\u5ea6\u8d85\u8fc7\u4ea4\u901a\u5de5\u5177\u7684\u6781\u9650\uff0c\u6216\u8005\u51fa\u73b0\u6781\u5927\u7684\u52a0\u901f\u5ea6\u53d8\u5316\u3002<\/li>\n
- \u53ef\u89c6\u5316\u68c0\u67e5\uff1a<\/strong> \u8fd9\u662f\u6700\u76f4\u63a5\u7684\u65b9\u6cd5\u3002\u5c06\u63d2\u503c\u540e\u7684\u8f68\u8ff9\u53e0\u52a0\u5728\u5730\u56fe\u4e0a\uff0c\u7528\u8089\u773c\u89c2\u5bdf\u5176\u662f\u5426\u81ea\u7136\u3001\u5408\u7406\uff0c\u662f\u5426\u7b26\u5408\u9053\u8def\u8d70\u5411\u3002<\/li>\n<\/ol>\n
\u9664\u4e86\u7ebf\u6027\u548c\u6837\u6761\uff0c\u8fd8\u6709\u54ea\u4e9b\u503c\u5f97\u4e86\u89e3\u7684\u63d2\u503c\u7b97\u6cd5\uff1f<\/h3>\n
\u62c9\u683c\u6717\u65e5\u63d2\u503c<\/strong>\u548c\u725b\u987f\u63d2\u503c<\/strong>\u662f\u591a\u9879\u5f0f\u63d2\u503c\u7684\u53e6\u5916\u4e24\u79cd\u7ecf\u5178\u65b9\u6cd5\u3002\u5b83\u4eec\u7684\u601d\u60f3\u662f\u7528\u4e00\u4e2aN\u9636\u591a\u9879\u5f0f\u4e00\u6b21\u6027\u7a7f\u8fc7\u6240\u6709N+1\u4e2a\u6570\u636e\u70b9\u3002\u4f46\u5728GPS\u8f68\u8ff9\u5904\u7406\u4e2d\uff0c\u5f53\u6570\u636e\u70b9\u8f83\u591a\u65f6\uff0c\u9ad8\u9636\u591a\u9879\u5f0f\u975e\u5e38\u5bb9\u6613\u5728\u6570\u636e\u5e8f\u5217\u7684\u7aef\u70b9\u9644\u8fd1\u4ea7\u751f\u5267\u70c8\u7684\u9707\u8361\uff08\u5373\u201c\u9f99\u683c\u73b0\u8c61\u201d\uff09\uff0c\u751f\u6210\u975e\u5e38\u4e0d\u81ea\u7136\u7684\u8f68\u8ff9\u3002\u56e0\u6b64\uff0c\u5206\u6bb5\u8fdb\u884c\u3001\u5c40\u90e8\u63a7\u5236\u7684\u6837\u6761\u63d2\u503c\u901a\u5e38\u662f\u66f4\u7a33\u5b9a\u548c\u5b9e\u7528\u7684\u9009\u62e9\u3002<\/p>\nGPS\u6570\u636e\u5904\u7406\u65f6\uff0c\u5e94\u8be5\u5148\u63d2\u503c\u8fd8\u662f\u5148\u5e73\u6ed1\uff1f<\/h3>\n
\u8fd9\u662f\u4e00\u4e2a\u6d41\u7a0b\u95ee\u9898\u3002\u6211\u63a8\u8350\u7684\u6807\u51c6\u5316\u5904\u7406\u6d41\u7a0b\u662f\uff1a1. \u5f02\u5e38\u70b9\u5254\u9664 -> 2. \u8f68\u8ff9\u63d2\u503c\uff08\u8865\u5168\u6570\u636e\uff09 -> 3. \u8f68\u8ff9\u5e73\u6ed1\uff08\u6d88\u9664\u566a\u58f0\uff09 -> 4. \u5730\u56fe\u5339\u914d\uff08\u53ef\u9009\uff09<\/strong><\/p>\n\u5148\u8fdb\u884c\u63d2\u503c\uff0c\u53ef\u4ee5\u4e3a\u540e\u7eed\u7684\u5e73\u6ed1\u7b97\u6cd5\u63d0\u4f9b\u4e00\u4e2a\u65f6\u95f4\u4e0a\u5747\u5300\u3001\u6570\u636e\u4e0a\u5b8c\u6574\u7684\u6570\u636e\u5e8f\u5217\u3002\u5728\u4e00\u4e2a\u5e72\u51c0\u3001\u5b8c\u6574\u7684\u6570\u636e\u96c6\u4e0a\u8fdb\u884c\u5e73\u6ed1\uff0c\u901a\u5e38\u80fd\u53d6\u5f97\u66f4\u597d\u7684\u53bb\u566a\u6548\u679c\u3002<\/p>\n
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