static Algerbra.Matrix<double> RotationMatrix(double azimuth, double elevation) { Algerbra.Matrix<double> R = new Algerbra.Matrix<double>(3, 3); R.SetMatrix(new double[] { Math.Cos(azimuth), 0, -Math.Sin(azimuth), Math.Sin(azimuth)*Math.Sin(elevation), Math.Cos(elevation), Math.Cos(azimuth)*Math.Sin(elevation), Math.Cos(elevation)*Math.Sin(azimuth), -Math.Sin(elevation), Math.Cos(azimuth)*Math.Cos(elevation) }); return R; }
static Algerbra.Matrix<double> GetMext(double azimuth, double elevation, double[] d_w) { Algerbra.Matrix<double> R = RotationMatrix(azimuth, elevation); Algerbra.Matrix<double> dw = new Algerbra.Matrix<double>(3, 1); dw.SetMatrix(d_w); Algerbra.Matrix<double> Mext = R | (-R * dw); return Mext; }
static Algerbra.Matrix<double> GetMint(double s_x, double s_y, double f) { Algerbra.Matrix<double> Mint = new Algerbra.Matrix<double>(3, 3); double o_x = s_x / 2; double o_y = s_y / 2; double a = 1; Mint.SetMatrix(new double[] { f, 0, o_x, 0, f * a, o_y, 0, 0, 1 }); return Mint; }
static public PointF Project(double[] x, double s_x, double s_y, double f, double[] d_w, double azimuth, double elevation) { Algerbra.Matrix<double> Mext = GetMext(azimuth, elevation, d_w); Algerbra.Matrix<double> Mint = GetMint(s_x, s_y, f); Algerbra.Matrix<double> X_h = new Algerbra.Matrix<double>(4, 1); X_h.SetMatrix(new double[] { x[0], x[1], x[2], 1.0}); //Debug.Print((Mint * Mext).ToString()); Algerbra.Matrix<double> P = Mint * Mext * X_h; return new PointF((float)(P.GetValByIndex(0, 0) / P.GetValByIndex(2, 0)), (float)(P.GetValByIndex(1, 0) / P.GetValByIndex(2, 0))); }
static public PointF[] ProjectVector(List<double[]> x, double s_x, double s_y, double f, double[] d_w, double azimuth, double elevation) { Algerbra.Matrix<double> Mext = GetMext(azimuth, elevation, d_w); Algerbra.Matrix<double> Mint = GetMint(s_x, s_y, f); Algerbra.Matrix<double> X_h = new Algerbra.Matrix<double>(4, 1); PointF[] Pvec = new PointF[x.Count]; for (int i = 0; i < x.Count; i++) { X_h.SetMatrix(new double[] { x[i][0], x[i][1], x[i][2], 1.0 }); Algerbra.Matrix<double> P = Mint * Mext * X_h; Pvec[i] = new PointF((float)(P.GetValByIndex(0, 0) / P.GetValByIndex(2, 0)), (float)(P.GetValByIndex(1, 0) / P.GetValByIndex(2, 0))); } return Pvec; }