public static BLHCoordinate XYZToBLH(XYZCoordinate XYZ, Datum datum) { double f, f1, f2; double p, zw, nnq; double b, l, h; double a = datum.r_major; double eq = datum.E2; f = Pi * 50 / 180; double x, y, z; x = XYZ.X; y = XYZ.Y; z = XYZ.Z; p = z / Math.Sqrt(x * x + y * y); do { zw = a / Math.Sqrt(1 - eq * Math.Sin(f) * Math.Sin(f)); nnq = 1 - eq * zw / (Math.Sqrt(x * x + y * y) / Math.Cos(f)); f1 = Math.Atan(p / nnq); f2 = f; f = f1; } while (!(Math.Abs(f2 - f1) < 10E-10)); b = f * 180 / Pi; l = Math.Atan(y / x) * 180 / Pi; if (l < 0) { l += 180; } h = Math.Sqrt(x * x + y * y) / Math.Cos(f1) - a / Math.Sqrt(1 - eq * Math.Sin(f1) * Math.Sin(f1)); return(new BLHCoordinate(b, l, h)); }
/// <summary> /// 利用4参数求新坐标系的坐标 /// </summary> /// <param name="aPtSource">点的源坐标系的坐标</param> /// <param name="sep">已经知道的4参数</param> /// <param name="aPtTo">输出: 点的新坐标系的坐标</param> public static XYZCoordinate Para4Convert(XYZCoordinate aPtSource, FourPara forPara) { double k = forPara.scale; double a1 = k * Math.Cos(forPara.Ax); double a2 = k * Math.Sin(forPara.Ax); XYZCoordinate ToCoordinate = new XYZCoordinate(); ToCoordinate.X = forPara.deltaX + a1 * aPtSource.X + a2 * aPtSource.Y; ToCoordinate.Y = forPara.deltaY + a1 * aPtSource.Y - a2 * aPtSource.X; ToCoordinate.Z = aPtSource.Z; return(ToCoordinate); }
/// <summary> /// 利用7参数求新坐标系的坐标 /// </summary> /// <param name="aPtSource">点的源坐标系的坐标</param> /// <param name="sep">已经知道的7参数</param> /// <param name="aPtTo">输出: 点的新坐标系的坐标</param> public static XYZCoordinate Para7Convert(XYZCoordinate aPtSource, SevenPara sep) { double k = sep.scale; double a2 = k * sep.Ax; double a3 = k * sep.Ay; double a4 = k * sep.Az; XYZCoordinate ToCoordinate = new XYZCoordinate(); ToCoordinate.X = sep.deltaX + k * aPtSource.X - a3 * aPtSource.Z + a4 * aPtSource.Y; ToCoordinate.Y = sep.deltaY + k * aPtSource.Y + a2 * aPtSource.Z - a4 * aPtSource.X; ToCoordinate.Z = sep.deltaZ + k * aPtSource.Z - a2 * aPtSource.Y + a3 * aPtSource.X; return(ToCoordinate); }
//高斯投影由大地平面坐标(Unit:Metres)反算经纬度(Unit:DD) public static BLHCoordinate GaussProjInvCal(XYZCoordinate XYZ, Datum datum, double lon) { int ProjNo, ZoneWide; ////带宽 double l, b, longitude0, X0, xval, yval; double e1, e2, f, a, ee, NN, T, C, M, D, R, u, fai; a = datum.r_major; //54年北京坐标系参数 ZoneWide = 3; //3度带宽 ProjNo = (int)(XYZ.X / 1000000L); //查找带号 longitude0 = lon; if (Math.Abs(lon - 0) < 0.000001) { longitude0 = ProjNo * ZoneWide; //中央经线 } longitude0 = longitude0 * Math.PI / 180; //中央经线 X0 = ProjNo * 1000000L + 500000L; xval = XYZ.X - X0; //带内大地坐标 yval = XYZ.Y; e2 = datum.E2; e1 = (1.0 - Math.Sqrt(1 - e2)) / (1.0 + Math.Sqrt(1 - e2)); ee = e2 / (1 - e2); M = yval; u = M / (a * (1 - e2 / 4 - 3 * e2 * e2 / 64 - 5 * e2 * e2 * e2 / 256)); fai = u + (3 * e1 / 2 - 27 * e1 * e1 * e1 / 32) * Math.Sin(2 * u) + (21 * e1 * e1 / 16 - 55 * e1 * e1 * e1 * e1 / 32) * Math.Sin(4 * u) + (151 * e1 * e1 * e1 / 96) * Math.Sin(6 * u) + (1097 * e1 * e1 * e1 * e1 / 512) * Math.Sin(8 * u); C = ee * Math.Cos(fai) * Math.Cos(fai); T = Math.Tan(fai) * Math.Tan(fai); NN = a / Math.Sqrt(1.0 - e2 * Math.Sin(fai) * Math.Sin(fai)); R = a * (1 - e2) / Math.Sqrt((1 - e2 * Math.Sin(fai) * Math.Sin(fai)) * (1 - e2 * Math.Sin(fai) * Math.Sin(fai)) * (1 - e2 * Math.Sin(fai) * Math.Sin(fai))); D = xval / NN; //计算经度(Longitude) 纬度(Latitude) l = longitude0 + (D - (1 + 2 * T + C) * D * D * D / 6 + (5 - 2 * C + 28 * T - 3 * C * C + 8 * ee + 24 * T * T) * D * D * D * D * D / 120) / Math.Cos(fai); b = fai - (NN * Math.Tan(fai) / R) * (D * D / 2 - (5 + 3 * T + 10 * C - 4 * C * C - 9 * ee) * D * D * D * D / 24 + (61 + 90 * T + 298 * C + 45 * T * T - 256 * ee - 3 * C * C) * D * D * D * D * D * D / 720); //转换为度 DD l = l * 180 / Math.PI; b = b * 180 / Math.PI; return(new BLHCoordinate(b, l, XYZ.Z)); }