This forum is disabled, please visit https://forum.opencv.org
 | 1 | initial version |
Try this :
SVDecomp(x, S, U, VT, cv::SVD::FULL_UV);
/*Please note that S is a column vector and S should be a square diagonal matrix, Assigning the components of the S to the diagonal components of Sigma*/
for (int i = 0; i < VT.rows; i++)
VT.row(i) = VT.row(i) * S.at<double>(i, 0);
x_hat = U * VT;
cout << "U * Sigma* VT= " << endl << x_hat << endl;
absdiff(x, x_hat, err);
minMaxIdx(err, &minVal, &maxVal, minLoc, maxLoc);
cout << "Reconstruction err: MIN= " << minVal << ", MAX= " << maxVal << ", sum= " << sum(err) << endl;
and it is not Sigma.at<double>(i1, i1) but S.at<double>(i1,0); results are
U * Sigma* VT=
[23, 24.00000000000001, 23.99999999999999, 23.00000000000001, 22.5, 21.49999999999999, 20.00000000000002, 19.99999999999999, 19, 20, 21.99999999999999, 23, 23, 23.5, 24, 25.5;
23.50000000000001, 24.00000000000003, 22.99999999999999, 21.00000000000001, 21, 21.99999999999999, 21.00000000000001, 20, 18.5, 18, 18.99999999999999, 20, 20.50000000000001, 23, 24, 24;
24.00000000000002, 24.00000000000002, 22, 21.00000000000003, 21.5, 21.5, 21.00000000000001, 20, 19.5, 20.00000000000001, 21.00000000000001, 21, 22.00000000000001, 23.00000000000001, 24, 24;
24.49999999999999, 24, 22.99999999999998, 23.00000000000001, 22.99999999999998, 20.99999999999999, 20.00000000000001, 19.99999999999998, 20, 22, 21.99999999999999, 21.99999999999999, 23, 23, 23.99999999999999, 24;
24.00000000000001, 24.00000000000002, 24, 24.00000000000001, 24, 22, 20.00000000000002, 20, 20.00000000000001, 21.00000000000001, 21.00000000000001, 21, 21.00000000000001, 22.00000000000001, 24.00000000000001, 24.00000000000001;
23.99999999999999, 24.5, 24.99999999999998, 24.50000000000001, 23.99999999999998, 21.99999999999999, 20, 20.99999999999999, 21, 21, 21.99999999999999, 22, 22.00000000000001, 22.99999999999999, 24, 24;
23.99999999999999, 24.5, 24.99999999999998, 24.50000000000001, 23.99999999999999, 21.99999999999999, 20.00000000000002, 21.99999999999999, 23.00000000000001, 23, 24, 23.99999999999999, 23.00000000000001, 22, 22.5, 23;
24.5, 24.5, 24, 24.00000000000001, 22.99999999999999, 22, 22.00000000000002, 22.99999999999999, 24.5, 24.50000000000001, 23, 21.49999999999999, 21.00000000000001, 21.00000000000001, 22.5, 22.5;
23.5, 24.5, 25.49999999999998, 25, 23.49999999999999, 24.49999999999999, 26.00000000000001, 25.49999999999999, 24, 25, 22.5, 20.5, 20.5, 21, 21, 20.50000000000001;
24.5, 25.50000000000002, 25.99999999999999, 25.5, 24.5, 24.99999999999998, 25.5, 24.99999999999999, 24, 24, 21.99999999999998, 20.49999999999999, 20.49999999999999, 19.5, 18.49999999999999, 19.5;
25.49999999999999, 25.49999999999999, 25.99999999999998, 25.99999999999999, 24.99999999999998, 24.99999999999998, 25, 24.99999999999998, 23.49999999999999, 24, 22, 20, 20.00000000000001, 19.50000000000001, 18.5, 21;
24, 24, 23.99999999999998, 24.00000000000001, 23.99999999999998, 24.49999999999999, 23, 22.49999999999999, 24, 24.50000000000001, 23, 20.49999999999999, 20.00000000000001, 20.00000000000001, 20.5, 22.5;
24.00000000000002, 24.00000000000003, 24.00000000000001, 24.00000000000003, 24, 24, 23.00000000000003, 22.5, 24.00000000000002, 23.50000000000001, 23.00000000000001, 21.50000000000002, 20.00000000000003, 19.50000000000003, 22.00000000000002, 24.00000000000002;
22.5, 23.00000000000001, 22.49999999999998, 22, 22.99999999999999, 22.99999999999999, 22.00000000000001, 21.49999999999999, 23.00000000000001, 22.00000000000001, 22.00000000000001, 22, 20.00000000000001, 20.50000000000001, 23.00000000000001, 24.00000000000001;
22.50000000000001, 21.50000000000002, 21.5, 22.00000000000001, 23, 23.99999999999999, 22.50000000000001, 20, 21.00000000000001, 20.50000000000001, 20.5, 22, 22.00000000000001, 23, 23.5, 23.5;
22.5, 21.00000000000001, 20.99999999999999, 21.00000000000001, 21, 22.99999999999999, 21.5, 19.99999999999999, 20, 20.5, 20.5, 21.99999999999999, 24.00000000000001, 24.00000000000001, 23.50000000000001, 23.50000000000001]
Reconstruction err: MIN= 0, MAX= 3.19744e-14, sum= [2.17426e-12, 0, 0, 0]
OpenCV(4.0.0-pre) Error: Assertion failed ((unsigned)(i1 * DataType<_Tp>::channels) < (unsigned)(size.p[1] * channels())) in cv::Mat::at, file g:\lib\install\opencv\include\opencv2\core\mat.inl.hpp, line 1144 OpenCV: terminate handler is called! The last OpenCV error is: OpenCV(4.0.0-pre) Error: Assertion failed ((unsigned)(i1 * DataType<_Tp>::channels) < (unsigned)(size.p[1] * channels())) in cv::Mat::at, file g:\lib\install\opencv\include\opencv2\core\mat.inl.hpp, line 1144 Appuyez sur une touche pour continuer...
| | 2 | No.2 Revision |
Try this :
SVDecomp(x, S, U, VT, cv::SVD::FULL_UV);
/*Please note that S is a column vector and S should be a square diagonal matrix, Assigning the components of the S to the diagonal components of Sigma*/
for (int i = 0; i < VT.rows; i++)
VT.row(i) = VT.row(i) * S.at<double>(i, 0);
x_hat = U * VT;
cout << "U * Sigma* VT= " << endl << x_hat << endl;
absdiff(x, x_hat, err);
minMaxIdx(err, &minVal, &maxVal, minLoc, maxLoc);
cout << "Reconstruction err: MIN= " << minVal << ", MAX= " << maxVal << ", sum= " << sum(err) << endl;
and it is not Sigma.at<double>(i1, i1) but S.at<double>(i1,0); results are
U * Sigma* VT=
[23, 24.00000000000001, 23.99999999999999, 23.00000000000001, 22.5, 21.49999999999999, 20.00000000000002, 19.99999999999999, 19, 20, 21.99999999999999, 23, 23, 23.5, 24, 25.5;
23.50000000000001, 24.00000000000003, 22.99999999999999, 21.00000000000001, 21, 21.99999999999999, 21.00000000000001, 20, 18.5, 18, 18.99999999999999, 20, 20.50000000000001, 23, 24, 24;
24.00000000000002, 24.00000000000002, 22, 21.00000000000003, 21.5, 21.5, 21.00000000000001, 20, 19.5, 20.00000000000001, 21.00000000000001, 21, 22.00000000000001, 23.00000000000001, 24, 24;
24.49999999999999, 24, 22.99999999999998, 23.00000000000001, 22.99999999999998, 20.99999999999999, 20.00000000000001, 19.99999999999998, 20, 22, 21.99999999999999, 21.99999999999999, 23, 23, 23.99999999999999, 24;
24.00000000000001, 24.00000000000002, 24, 24.00000000000001, 24, 22, 20.00000000000002, 20, 20.00000000000001, 21.00000000000001, 21.00000000000001, 21, 21.00000000000001, 22.00000000000001, 24.00000000000001, 24.00000000000001;
23.99999999999999, 24.5, 24.99999999999998, 24.50000000000001, 23.99999999999998, 21.99999999999999, 20, 20.99999999999999, 21, 21, 21.99999999999999, 22, 22.00000000000001, 22.99999999999999, 24, 24;
23.99999999999999, 24.5, 24.99999999999998, 24.50000000000001, 23.99999999999999, 21.99999999999999, 20.00000000000002, 21.99999999999999, 23.00000000000001, 23, 24, 23.99999999999999, 23.00000000000001, 22, 22.5, 23;
24.5, 24.5, 24, 24.00000000000001, 22.99999999999999, 22, 22.00000000000002, 22.99999999999999, 24.5, 24.50000000000001, 23, 21.49999999999999, 21.00000000000001, 21.00000000000001, 22.5, 22.5;
23.5, 24.5, 25.49999999999998, 25, 23.49999999999999, 24.49999999999999, 26.00000000000001, 25.49999999999999, 24, 25, 22.5, 20.5, 20.5, 21, 21, 20.50000000000001;
24.5, 25.50000000000002, 25.99999999999999, 25.5, 24.5, 24.99999999999998, 25.5, 24.99999999999999, 24, 24, 21.99999999999998, 20.49999999999999, 20.49999999999999, 19.5, 18.49999999999999, 19.5;
25.49999999999999, 25.49999999999999, 25.99999999999998, 25.99999999999999, 24.99999999999998, 24.99999999999998, 25, 24.99999999999998, 23.49999999999999, 24, 22, 20, 20.00000000000001, 19.50000000000001, 18.5, 21;
24, 24, 23.99999999999998, 24.00000000000001, 23.99999999999998, 24.49999999999999, 23, 22.49999999999999, 24, 24.50000000000001, 23, 20.49999999999999, 20.00000000000001, 20.00000000000001, 20.5, 22.5;
24.00000000000002, 24.00000000000003, 24.00000000000001, 24.00000000000003, 24, 24, 23.00000000000003, 22.5, 24.00000000000002, 23.50000000000001, 23.00000000000001, 21.50000000000002, 20.00000000000003, 19.50000000000003, 22.00000000000002, 24.00000000000002;
22.5, 23.00000000000001, 22.49999999999998, 22, 22.99999999999999, 22.99999999999999, 22.00000000000001, 21.49999999999999, 23.00000000000001, 22.00000000000001, 22.00000000000001, 22, 20.00000000000001, 20.50000000000001, 23.00000000000001, 24.00000000000001;
22.50000000000001, 21.50000000000002, 21.5, 22.00000000000001, 23, 23.99999999999999, 22.50000000000001, 20, 21.00000000000001, 20.50000000000001, 20.5, 22, 22.00000000000001, 23, 23.5, 23.5;
22.5, 21.00000000000001, 20.99999999999999, 21.00000000000001, 21, 22.99999999999999, 21.5, 19.99999999999999, 20, 20.5, 20.5, 21.99999999999999, 24.00000000000001, 24.00000000000001, 23.50000000000001, 23.50000000000001]
Reconstruction err: MIN= 0, MAX= 3.19744e-14, sum= [2.17426e-12, 0, 0, 0]
OpenCV(4.0.0-pre) Error: Assertion failed ((unsigned)(i1 * DataType<_Tp>::channels) < (unsigned)(size.p[1] * channels())) in cv::Mat::at, file g:\lib\install\opencv\include\opencv2\core\mat.inl.hpp, line 1144 OpenCV: terminate handler is called! The last OpenCV error is: OpenCV(4.0.0-pre) Error: Assertion failed ((unsigned)(i1 * DataType<_Tp>::channels) < (unsigned)(size.p[1] * channels())) in cv::Mat::at, file g:\lib\install\opencv\include\opencv2\core\mat.inl.hpp, line 1144 Appuyez sur une touche pour continuer...