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@ -661,22 +661,14 @@ static double calibrateCameraInternal( const Mat& objectPoints, |
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//////////////////////////////// Stereo Calibration ///////////////////////////////////
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static int dbCmp( const void* _a, const void* _b ) |
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{ |
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double a = *(const double*)_a; |
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double b = *(const double*)_b; |
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return (a > b) - (a < b); |
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} |
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static double stereoCalibrateImpl( |
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const Mat& _objectPoints, const Mat& _imagePoints1, |
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const Mat& _imagePoints2, const Mat& _npoints, |
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Mat& _cameraMatrix1, Mat& _distCoeffs1, |
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Mat& _cameraMatrix2, Mat& _distCoeffs2, |
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Size imageSize, Mat* matR, Mat* matT, |
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Mat* matE, Mat* matF, |
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Mat* perViewErr, int flags, |
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Size imageSize, Mat matR, Mat matT, |
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Mat matE, Mat matF, |
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Mat perViewErr, int flags, |
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TermCriteria termCrit ) |
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{ |
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const int NINTRINSIC = 18; |
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@ -729,7 +721,8 @@ static double stereoCalibrateImpl( |
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cameraMatrix.convertTo(A[k], CV_64F); |
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if( flags & (CALIB_FIX_INTRINSIC|CALIB_USE_INTRINSIC_GUESS| |
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CALIB_FIX_K1|CALIB_FIX_K2|CALIB_FIX_K3|CALIB_FIX_K4|CALIB_FIX_K5|CALIB_FIX_K6|CALIB_FIX_TANGENT_DIST) ) |
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CALIB_FIX_K1|CALIB_FIX_K2|CALIB_FIX_K3|CALIB_FIX_K4|CALIB_FIX_K5|CALIB_FIX_K6| |
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CALIB_FIX_TANGENT_DIST) ) |
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{ |
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Mat tdist( distCoeffs.size(), CV_MAKETYPE(CV_64F, distCoeffs.channels()), dk[k] ); |
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distCoeffs.convertTo(tdist, CV_64F); |
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@ -741,8 +734,6 @@ static double stereoCalibrateImpl( |
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calibrateCameraInternal(objectPoints, imagePoints[k], |
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_npoints, imageSize, 0, matA, Dist[k], |
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0, 0, 0, 0, 0, flags, termCrit); |
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//std::cout << "K(" << k << "): " << A[k] << "\n";
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//std::cout << "Dist(" << k << "): " << Dist[k] << "\n";
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} |
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} |
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@ -762,13 +753,12 @@ static double stereoCalibrateImpl( |
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recomputeIntrinsics = (flags & CALIB_FIX_INTRINSIC) == 0; |
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Mat err( maxPoints*2, 1, CV_64F ); |
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Mat Je( maxPoints*2, 6, CV_64F ); |
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Mat J_LR( maxPoints*2, 6, CV_64F ); |
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Mat Ji( maxPoints*2, NINTRINSIC, CV_64F, Scalar(0) ); |
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// we optimize for the inter-camera R(3),t(3), then, optionally,
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// for intrinisic parameters of each camera ((fx,fy,cx,cy,k1,k2,p1,p2) ~ 8 parameters).
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// Param mapping is:
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// - from 0 next 6: stereo pair Rt, from 6+i*6 next 6: Rt for each ith camera of nimages,
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// - from 6*(nimages+1) next NINTRINSICS: intrinsics for 1st camera: fx, fy, cx, cy, 14 x dist
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// - next NINTRINSICS: the same for for 2nd camera
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nparams = 6*(nimages+1) + (recomputeIntrinsics ? NINTRINSIC*2 : 0); |
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std::vector<uchar> mask(nparams, (uchar)1); |
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@ -819,8 +809,7 @@ static double stereoCalibrateImpl( |
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} |
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// storage for initial [om(R){i}|t{i}] (in order to compute the median for each component)
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Mat RT0(6, nimages, CV_64F); |
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double* RT0data = RT0.ptr<double>(); |
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std::vector<double> rtsort(nimages*6); |
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/*
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Compute initial estimate of pose |
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For each image, compute: |
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@ -836,19 +825,19 @@ static double stereoCalibrateImpl( |
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for(int i = 0; i < nimages; i++ ) |
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{ |
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int ni = _npoints.at<int>(i); |
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Mat objpt_i(1, ni, CV_64FC3, objectPoints.ptr<double>() + pos*3); |
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Mat objpt_i = objectPoints(Range::all(), Range(pos, pos + ni)); |
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Matx33d R[2]; |
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Vec3d rv, T[2]; |
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for(int k = 0; k < 2; k++ ) |
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{ |
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Mat imgpt_ik = Mat(1, ni, CV_64FC2, imagePoints[k].ptr<double>() + pos*2); |
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Mat imgpt_ik = imagePoints[k](Range::all(), Range(pos, pos + ni)); |
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solvePnP(objpt_i, imgpt_ik, A[k], Dist[k], rv, T[k], false, SOLVEPNP_ITERATIVE ); |
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Rodrigues(rv, R[k]); |
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if( k == 0 ) |
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{ |
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// save initial om_left and T_left
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param[(i+1)*6] = rv[0]; |
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param[(i+1)*6 + 0] = rv[0]; |
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param[(i+1)*6 + 1] = rv[1]; |
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param[(i+1)*6 + 2] = rv[2]; |
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param[(i+1)*6 + 3] = T[0][0]; |
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@ -861,12 +850,12 @@ static double stereoCalibrateImpl( |
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Rodrigues(R[0], rv); |
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RT0data[i] = rv[0]; |
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RT0data[i + nimages] = rv[1]; |
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RT0data[i + nimages*2] = rv[2]; |
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RT0data[i + nimages*3] = T[1][0]; |
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RT0data[i + nimages*4] = T[1][1]; |
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RT0data[i + nimages*5] = T[1][2]; |
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rtsort[i + nimages*0] = rv[0]; |
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rtsort[i + nimages*1] = rv[1]; |
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rtsort[i + nimages*2] = rv[2]; |
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rtsort[i + nimages*3] = T[1][0]; |
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rtsort[i + nimages*4] = T[1][1]; |
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rtsort[i + nimages*5] = T[1][2]; |
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pos += ni; |
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} |
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@ -874,12 +863,12 @@ static double stereoCalibrateImpl( |
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if(flags & CALIB_USE_EXTRINSIC_GUESS) |
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{ |
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Vec3d R, T; |
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matT->convertTo(T, CV_64F); |
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matT.convertTo(T, CV_64F); |
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if( matR->rows == 3 && matR->cols == 3 ) |
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Rodrigues(*matR, R); |
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if( matR.rows == 3 && matR.cols == 3 ) |
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Rodrigues(matR, R); |
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else |
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matR->convertTo(R, CV_64F); |
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matR.convertTo(R, CV_64F); |
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param[0] = R[0]; |
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param[1] = R[1]; |
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@ -893,29 +882,35 @@ static double stereoCalibrateImpl( |
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// find the medians and save the first 6 parameters
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for(int i = 0; i < 6; i++ ) |
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{ |
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double* rti = RT0data + i*nimages; |
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qsort( rti, nimages, sizeof(*rti), dbCmp ); |
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param[i] = nimages % 2 != 0 ? rti[nimages/2] : (rti[nimages/2 - 1] + rti[nimages/2])*0.5; |
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size_t idx = i*nimages; |
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std::nth_element(rtsort.begin() + idx, |
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rtsort.begin() + idx + nimages/2, |
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rtsort.begin() + idx + nimages); |
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double h = rtsort[idx + nimages/2]; |
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param[i] = (nimages % 2 == 0) ? (h + rtsort[idx + nimages/2 - 1]) * 0.5 : h; |
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} |
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} |
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if( recomputeIntrinsics ) |
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{ |
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for(int k = 0; k < 2; k++ ) |
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{ |
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size_t idx = (nimages+1)*6 + k*NINTRINSIC; |
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if( flags & CALIB_ZERO_TANGENT_DIST ) |
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dk[k][2] = dk[k][3] = 0; |
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param[idx + 0] = A[k](0, 0); param[idx + 1] = A[k](1, 1); param[idx + 2] = A[k](0, 2); param[idx + 3] = A[k](1, 2); |
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param[idx + 4] = dk[k][0]; param[idx + 5] = dk[k][1]; param[idx + 6] = dk[k][2]; |
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param[idx + 7] = dk[k][3]; param[idx + 8] = dk[k][4]; param[idx + 9] = dk[k][5]; |
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param[idx + 10] = dk[k][6]; param[idx + 11] = dk[k][7]; |
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param[idx + 12] = dk[k][8]; |
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param[idx + 13] = dk[k][9]; |
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param[idx + 14] = dk[k][10]; |
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param[idx + 15] = dk[k][11]; |
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param[idx + 16] = dk[k][12]; |
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param[idx + 17] = dk[k][13]; |
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for (int i = 0; i < 14; i++) |
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{ |
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param[idx + 4 + i] = dk[k][i]; |
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} |
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} |
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} |
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// Preallocated place for callback calculations
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Mat errBuf( maxPoints*2, 1, CV_64F ); |
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Mat JeBuf( maxPoints*2, 6, CV_64F ); |
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Mat J_LRBuf( maxPoints*2, 6, CV_64F ); |
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Mat JiBuf( maxPoints*2, NINTRINSIC, CV_64F, Scalar(0) ); |
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auto lmcallback = [&](InputOutputArray _param, OutputArray JtErr_, OutputArray JtJ_, double& errnorm) |
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{ |
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@ -943,8 +938,10 @@ static double stereoCalibrateImpl( |
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} |
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for(int k = 0; k < 2; k++ ) |
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{ |
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A[k] = Matx33d(param_m(idx + k*NINTRINSIC+0), 0, param_m(idx + k*NINTRINSIC+2), |
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0, param_m(idx + k*NINTRINSIC+1), param_m(idx + k*NINTRINSIC+3), |
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double fx = param_m(idx + k*NINTRINSIC+0), fy = param_m(idx + k*NINTRINSIC+1); |
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double cx = param_m(idx + k*NINTRINSIC+2), cy = param_m(idx + k*NINTRINSIC+3); |
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A[k] = Matx33d(fx, 0, cx, |
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0, fy, cy, |
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0, 0, 1); |
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for(int j = 0; j < 14; j++) |
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dk[k][j] = param_m(idx + k*NINTRINSIC+4+j); |
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@ -966,8 +963,11 @@ static double stereoCalibrateImpl( |
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else |
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composeRT( om[0], T[0], om_LR, T_LR, om[1], T[1] ); |
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Mat objpt_i(1, ni, CV_64FC3, objectPoints.ptr<double>() + ptPos*3); |
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err.resize(ni*2); Je.resize(ni*2); J_LR.resize(ni*2); Ji.resize(ni*2); |
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Mat objpt_i = objectPoints(Range::all(), Range(ptPos, ptPos + ni)); |
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Mat err = errBuf (Range(0, ni*2), Range::all()); |
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Mat Je = JeBuf (Range(0, ni*2), Range::all()); |
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Mat J_LR = J_LRBuf(Range(0, ni*2), Range::all()); |
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Mat Ji = JiBuf (Range(0, ni*2), Range::all()); |
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Mat tmpImagePoints = err.reshape(2, 1); |
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Mat dpdf = Ji.colRange(0, 2); |
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@ -978,7 +978,7 @@ static double stereoCalibrateImpl( |
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for(int k = 0; k < 2; k++ ) |
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{ |
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Mat imgpt_ik(1, ni, CV_64FC2, imagePoints[k].ptr<double>() + ptPos*2); |
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Mat imgpt_ik = imagePoints[k](Range::all(), Range(ptPos, ptPos + ni)); |
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if( JtJ_.needed() || JtErr_.needed() ) |
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projectPoints(objpt_i, om[k], T[k], A[k], Dist[k], |
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@ -1001,23 +1001,35 @@ static double stereoCalibrateImpl( |
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// convert de3/{dr3,dt3} => de3{dr1,dt1} & de3{dr2,dt2}
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for(int p = 0; p < ni*2; p++ ) |
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{ |
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Mat de3dr3( 1, 3, CV_64F, Je.ptr(p)); |
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Mat de3dt3( 1, 3, CV_64F, de3dr3.ptr<double>() + 3 ); |
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Mat de3dr2( 1, 3, CV_64F, J_LR.ptr(p) ); |
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Mat de3dt2( 1, 3, CV_64F, de3dr2.ptr<double>() + 3 ); |
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double _de3dr1[3], _de3dt1[3]; |
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Mat de3dr1( 1, 3, CV_64F, _de3dr1 ); |
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Mat de3dt1( 1, 3, CV_64F, _de3dt1 ); |
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Matx13d de3dr3, de3dt3, de3dr2, de3dt2, de3dr1, de3dt1; |
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for(int j = 0; j < 3; j++) |
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de3dr3(j) = Je.at<double>(p, j); |
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for(int j = 0; j < 3; j++) |
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de3dt3(j) = Je.at<double>(p, 3+j); |
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for(int j = 0; j < 3; j++) |
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de3dr2(j) = J_LR.at<double>(p, j); |
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for(int j = 0; j < 3; j++) |
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de3dt2(j) = J_LR.at<double>(p, 3+j); |
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de3dr1 = de3dr3 * dr3dr1; |
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de3dt1 = de3dt3 * dt3dt1; |
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de3dr2 = de3dr3 * dr3dr2 + de3dt3 * dt3dr2; |
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de3dt2 = de3dt3 * dt3dt2; |
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for(int j = 0; j < 3; j++) |
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Je.at<double>(p, j) = de3dr1(j); |
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gemm(de3dr3, dr3dr1, 1, noArray(), 0, de3dr1); |
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gemm(de3dt3, dt3dt1, 1, noArray(), 0, de3dt1); |
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for(int j = 0; j < 3; j++) |
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Je.at<double>(p, 3+j) = de3dt1(j); |
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gemm(de3dr3, dr3dr2, 1, noArray(), 0, de3dr2); |
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gemm(de3dt3, dt3dr2, 1, de3dr2, 1, de3dr2); |
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gemm(de3dt3, dt3dt2, 1, noArray(), 0, de3dt2); |
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for(int j = 0; j < 3; j++) |
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J_LR.at<double>(p, j) = de3dr2(j); |
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de3dr1.copyTo(de3dr3); |
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de3dt1.copyTo(de3dt3); |
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for(int j = 0; j < 3; j++) |
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J_LR.at<double>(p, 3+j) = de3dt2(j); |
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} |
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JtJ(Rect(0, 0, 6, 6)) += J_LR.t()*J_LR; |
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@ -1041,8 +1053,8 @@ static double stereoCalibrateImpl( |
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} |
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double viewErr = norm(err, NORM_L2SQR); |
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if(perViewErr) |
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perViewErr->at<double>(i, k) = std::sqrt(viewErr/ni); |
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if(!perViewErr.empty()) |
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perViewErr.at<double>(i, k) = std::sqrt(viewErr/ni); |
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reprojErr += viewErr; |
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} |
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@ -1071,11 +1083,11 @@ static double stereoCalibrateImpl( |
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Vec3d T_LR(param[3], param[4], param[5]); |
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Matx33d R_LR; |
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Rodrigues( om_LR, R_LR ); |
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if( matR->rows == 1 || matR->cols == 1 ) |
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om_LR.convertTo(*matR, matR->depth()); |
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if( matR.rows == 1 || matR.cols == 1 ) |
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om_LR.convertTo(matR, matR.depth()); |
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else |
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R_LR.convertTo(*matR, matR->depth()); |
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T_LR.convertTo(*matT, matT->depth()); |
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R_LR.convertTo(matR, matR.depth()); |
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T_LR.convertTo(matT, matT.depth()); |
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if( recomputeIntrinsics ) |
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{ |
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@ -1092,19 +1104,19 @@ static double stereoCalibrateImpl( |
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} |
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} |
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if( matE || matF ) |
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if( !matE.empty() || !matF.empty() ) |
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{ |
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Matx33d Tx(0, -T_LR[2], T_LR[1], |
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T_LR[2], 0, -T_LR[0], |
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-T_LR[1], T_LR[0], 0); |
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Matx33d E = Tx*R_LR; |
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if (matE) |
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E.convertTo(*matE, matE->depth()); |
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if( matF ) |
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if( !matE.empty() ) |
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E.convertTo(matE, matE.depth()); |
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if( !matF.empty()) |
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{ |
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Matx33d iA0 = A[0].inv(), iA1 = A[1].inv(); |
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Matx33d F = iA1.t() * E * iA0; |
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F.convertTo(*matF, matF->depth(), fabs(F(2,2)) > 0 ? 1./F(2,2) : 1.); |
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F.convertTo(matF, matF.depth(), fabs(F(2,2)) > 0 ? 1./F(2,2) : 1.); |
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} |
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} |
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@ -1581,8 +1593,8 @@ double stereoCalibrate( InputArrayOfArrays _objectPoints, |
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double err = stereoCalibrateImpl(objPt, imgPt, imgPt2, npoints, cameraMatrix1, |
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distCoeffs1, cameraMatrix2, distCoeffs2, imageSize, |
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&matR, &matT, E_needed ? &matE : NULL, F_needed ? &matF : NULL, |
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errors_needed ? &matErr : NULL, flags, criteria); |
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matR, matT, matE, matF, |
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matErr, flags, criteria); |
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cameraMatrix1.copyTo(_cameraMatrix1); |
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cameraMatrix2.copyTo(_cameraMatrix2); |
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distCoeffs1.copyTo(_distCoeffs1); |
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