GPS纠偏
GPS(WGS84)坐标是不能够直接放到百度地图或者google地图上的,放到百度地图或者google地图上, 会有偏移现象。所以,车载终端上传的GPS坐标需要通过纠偏来矫正这个偏移。
三种坐标
1. GPS坐标,WGS84标准 2. 谷歌坐标=火星坐标=WGS84+GCJ02,即通过国测局发布的GCJ02标准加密后的坐标。 3. 百度坐标BD09=谷歌坐标+BD09=WGS84+GCJ02+BD09,BD09是百度自己的二次加密算法。
互转关系
百度坐标简称:BD09,谷歌坐标简称:GCJ02,GPS坐标:WGS84 1. WGS84->GCJ02 GPS加偏,一般的互联网地图都是GCJ02标准,如:谷歌 2. GCJ02->BD09 百度地图的标准 3. WGS84->BD09 定位到百度的GPS坐标,通过百度API会自动转换为BD09标准进行定位 4. BD09->GCJ02 百度坐标到火星坐标 5. BD09->WGS84 通过先转换到GCJ02,在通过GCJ02转换到WGS84.有精度丢失 6. GCJ02->WGS84 二分法逆转
部分算法
注:算法来自于网络 其中 bd_encrypt 将 GCJ-02 坐标转换成 BD-09 坐标, bd_decrypt 反之
#include <math.h> const double x_pi = 3.14159265358979324 * 3000.0 / 180.0; void bd_encrypt(double gg_lat, double gg_lon, double &bd_lat, double &bd_lon) { double x = gg_lon, y = gg_lat; double z = sqrt(x * x + y * y) + 0.00002 * sin(y * x_pi); double theta = atan2(y, x) + 0.000003 * cos(x * x_pi); bd_lon = z * cos(theta) + 0.0065; bd_lat = z * sin(theta) + 0.006; } void bd_decrypt(double bd_lat, double bd_lon, double &gg_lat, double &gg_lon) { double x = bd_lon - 0.0065, y = bd_lat - 0.006; double z = sqrt(x * x + y * y) - 0.00002 * sin(y * x_pi); double theta = atan2(y, x) - 0.000003 * cos(x * x_pi); gg_lon = z * cos(theta); gg_lat = z * sin(theta); }
WGS84->GCJ02网上“公开的秘密”见https://on4wp7.codeplex.com/SourceControl/changeset/view/21483#353936
// // Copyright (C) 1000 - 9999 Somebody Anonymous // NO WARRANTY OR GUARANTEE // using System; namespace Navi { class EvilTransform { const double pi = 3.14159265358979324; // // Krasovsky 1940 // // a = 6378245.0, 1/f = 298.3 // b = a * (1 - f) // ee = (a^2 - b^2) / a^2; const double a = 6378245.0; const double ee = 0.00669342162296594323; // // World Geodetic System ==> Mars Geodetic System public static void transform(double wgLat, double wgLon, out double mgLat, out double mgLon) { if (outOfChina(wgLat, wgLon)) { mgLat = wgLat; mgLon = wgLon; return; } double dLat = transformLat(wgLon - 105.0, wgLat - 35.0); double dLon = transformLon(wgLon - 105.0, wgLat - 35.0); double radLat = wgLat / 180.0 * pi; double magic = Math.Sin(radLat); magic = 1 - ee * magic * magic; double sqrtMagic = Math.Sqrt(magic); dLat = (dLat * 180.0) / ((a * (1 - ee)) / (magic * sqrtMagic) * pi); dLon = (dLon * 180.0) / (a / sqrtMagic * Math.Cos(radLat) * pi); mgLat = wgLat + dLat; mgLon = wgLon + dLon; } static bool outOfChina(double lat, double lon) { if (lon < 72.004 || lon > 137.8347) return true; if (lat < 0.8293 || lat > 55.8271) return true; return false; } static double transformLat(double x, double y) { double ret = -100.0 + 2.0 * x + 3.0 * y + 0.2 * y * y + 0.1 * x * y + 0.2 * Math.Sqrt(Math.Abs(x)); ret += (20.0 * Math.Sin(6.0 * x * pi) + 20.0 * Math.Sin(2.0 * x * pi)) * 2.0 / 3.0; ret += (20.0 * Math.Sin(y * pi) + 40.0 * Math.Sin(y / 3.0 * pi)) * 2.0 / 3.0; ret += (160.0 * Math.Sin(y / 12.0 * pi) + 320 * Math.Sin(y * pi / 30.0)) * 2.0 / 3.0; return ret; } static double transformLon(double x, double y) { double ret = 300.0 + x + 2.0 * y + 0.1 * x * x + 0.1 * x * y + 0.1 * Math.Sqrt(Math.Abs(x)); ret += (20.0 * Math.Sin(6.0 * x * pi) + 20.0 * Math.Sin(2.0 * x * pi)) * 2.0 / 3.0; ret += (20.0 * Math.Sin(x * pi) + 40.0 * Math.Sin(x / 3.0 * pi)) * 2.0 / 3.0; ret += (150.0 * Math.Sin(x / 12.0 * pi) + 300.0 * Math.Sin(x / 30.0 * pi)) * 2.0 / 3.0; return ret; } } }
CJ-02 到 WGS-84 的转换,正向偏移反推
def gcj2wgs(lat, lon): g_lat, g_lon = wgs2gcj(lat, lon) d_lat = g_lat - lat d_lon = g_lon - lon return lat - d_lat, lon - d_lon def gcj2wgs(lat, lon): g_lat, g_lon = wgs2gcj(lat, lon) d_lat = g_lat - lat d_lon = g_lon - lon return lat - d_lat, lon - d_lon