initUndistortRectifyMap源码解析
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void cv::initUndistortRectifyMap( InputArray _cameraMatrix, InputArray _distCoeffs, InputArray _matR, InputArray _newCameraMatrix, Size size, int m1type, OutputArray _map1, OutputArray _map2 ){ //相机内参、畸变矩阵 Mat cameraMatrix = _cameraMatrix.getMat(), distCoeffs = _distCoeffs.getMat(); //旋转矩阵、摄像机参数矩阵 Mat matR = _matR.getMat(), newCameraMatrix = _newCameraMatrix.getMat(); if( m1type <= 0 ) m1type = CV_16SC2; CV_Assert( m1type == CV_16SC2 || m1type == CV_32FC1 || m1type == CV_32FC2 ); _map1.create( size, m1type ); Mat map1 = _map1.getMat(), map2; if( m1type != CV_32FC2 ) { _map2.create( size, m1type == CV_16SC2 ? CV_16UC1 : CV_32FC1 ); map2 = _map2.getMat(); } else _map2.release(); Mat_<double> R = Mat_<double>::eye(3, 3); //A为相机内参 Mat_<double> A = Mat_<double>(cameraMatrix), Ar; //Ar 为摄像机坐标参数 if( newCameraMatrix.data ) Ar = Mat_<double>(newCameraMatrix); else Ar = getDefaultNewCameraMatrix( A, size, true ); //R 为旋转矩阵 if( matR.data ) R = Mat_<double>(matR); //distCoeffs为畸变矩阵 if( distCoeffs.data ) distCoeffs = Mat_<double>(distCoeffs); else { distCoeffs.create(8, 1, CV_64F); distCoeffs = 0.; } CV_Assert( A.size() == Size(3,3) && A.size() == R.size() ); CV_Assert( Ar.size() == Size(3,3) || Ar.size() == Size(4, 3)); //摄像机坐标系第四列参数 旋转向量转为旋转矩阵 Mat_<double> iR = (Ar.colRange(0,3)*R).inv(DECOMP_LU); //ir IR矩阵的指针 const double* ir = &iR(0,0); //获取相机的内参 u0 v0 为主坐标点 fx fy 为焦距 double u0 = A(0, 2), v0 = A(1, 2); double fx = A(0, 0), fy = A(1, 1); CV_Assert( distCoeffs.size() == Size(1, 4) || distCoeffs.size() == Size(4, 1) || distCoeffs.size() == Size(1, 5) || distCoeffs.size() == Size(5, 1) || distCoeffs.size() == Size(1, 8) || distCoeffs.size() == Size(8, 1)); if( distCoeffs.rows != 1 && !distCoeffs.isContinuous() ) distCoeffs = distCoeffs.t(); //畸变参数计算 double k1 = ((double*)distCoeffs.data)[0]; double k2 = ((double*)distCoeffs.data)[1]; double p1 = ((double*)distCoeffs.data)[2]; double p2 = ((double*)distCoeffs.data)[3]; double k3 = distCoeffs.cols + distCoeffs.rows - 1 >= 5 ? ((double*)distCoeffs.data)[4] : 0.; double k4 = distCoeffs.cols + distCoeffs.rows - 1 >= 8 ? ((double*)distCoeffs.data)[5] : 0.; double k5 = distCoeffs.cols + distCoeffs.rows - 1 >= 8 ? ((double*)distCoeffs.data)[6] : 0.; double k6 = distCoeffs.cols + distCoeffs.rows - 1 >= 8 ? ((double*)distCoeffs.data)[7] : 0.; //图像高度 for( int i = 0; i < size.height; i++ ) { //映射矩阵map1 float* m1f = (float*)(map1.data + map1.step*i); //映射矩阵map2 float* m2f = (float*)(map2.data + map2.step*i); short* m1 = (short*)m1f; ushort* m2 = (ushort*)m2f; //摄像机参数矩阵最后一列向量转换成的3*3矩阵参数 double _x = i*ir[1] + ir[2]; double _y = i*ir[4] + ir[5]; double _w = i*ir[7] + ir[8]; //图像宽度 for( int j = 0; j < size.width; j++, _x += ir[0], _y += ir[3], _w += ir[6] ) { //获取摄像机坐标系第四列参数 double w = 1./_w, x = _x*w, y = _y*w; double x2 = x*x, y2 = y*y; double r2 = x2 + y2, _2xy = 2*x*y; double kr = (1 + ((k3*r2 + k2)*r2 + k1)*r2)/(1 + ((k6*r2 + k5)*r2 + k4)*r2); double u = fx*(x*kr + p1*_2xy + p2*(r2 + 2*x2)) + u0; double v = fy*(y*kr + p1*(r2 + 2*y2) + p2*_2xy) + v0; if( m1type == CV_16SC2 ) { int iu = saturate_cast<int>(u*INTER_TAB_SIZE); int iv = saturate_cast<int>(v*INTER_TAB_SIZE); m1[j*2] = (short)(iu >> INTER_BITS); m1[j*2+1] = (short)(iv >> INTER_BITS); m2[j] = (ushort)((iv & (INTER_TAB_SIZE-1))*INTER_TAB_SIZE + (iu & (INTER_TAB_SIZE-1))); } else if( m1type == CV_32FC1 ) { m1f[j] = (float)u; m2f[j] = (float)v; } else { m1f[j*2] = (float)u; m1f[j*2+1] = (float)v; } } }}
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