#include #include #include #include #include using namespace cv; int main(int argc, char **argv) { if (argc != 2) { std::cerr << "Please input an image file path as the only arg." << std::endl; return -1; } const char *filename = argv[1]; Mat I = imread(samples::findFile(filename), IMREAD_GRAYSCALE); if (I.empty()) { std::cout << "Error opening image" << std::endl; return EXIT_FAILURE; } Mat padded; // expand input image to optimal size int m = getOptimalDFTSize(I.rows); int n = getOptimalDFTSize(I.cols); // on the border add zero values copyMakeBorder(I, padded, 0, m - I.rows, 0, n - I.cols, BORDER_CONSTANT, Scalar::all(0)); Mat planes[] = {Mat_(padded), Mat::zeros(padded.size(), CV_32F)}; Mat complexI; merge(planes, 2, complexI); // Add to the expanded another plane with zeros dft(complexI, complexI); // this way the result may fit in the source matrix // compute the magnitude and switch to logarithmic scale // => log(1 + sqrt(Re(DFT(I))^2 + Im(DFT(I))^2)) split(complexI, planes); // planes[0] = Re(DFT(I), planes[1] = Im(DFT(I)) magnitude(planes[0], planes[1], planes[0]); // planes[0] = magnitude Mat magI = planes[0]; magI += Scalar::all(1); // switch to logarithmic scale log(magI, magI); // crop the spectrum, if it has an odd number of rows or columns magI = magI(Rect(0, 0, magI.cols & -2, magI.rows & -2)); // rearrange the quadrants of Fourier image so that the origin is at the // image center int cx = magI.cols / 2; int cy = magI.rows / 2; Mat q0(magI, Rect(0, 0, cx, cy)); // Top-Left - Create a ROI per quadrant Mat q1(magI, Rect(cx, 0, cx, cy)); // Top-Right Mat q2(magI, Rect(0, cy, cx, cy)); // Bottom-Left Mat q3(magI, Rect(cx, cy, cx, cy)); // Bottom-Right Mat tmp; // swap quadrants (Top-Left with Bottom-Right) q0.copyTo(tmp); q3.copyTo(q0); tmp.copyTo(q3); q1.copyTo(tmp); // swap quadrant (Top-Right with Bottom-Left) q2.copyTo(q1); tmp.copyTo(q2); normalize(magI, magI, 0, 1, NORM_MINMAX); // Transform the matrix with float values into a // viewable image form (float between values 0 and 1). imshow("Input Image", I); // Show the result imshow("spectrum magnitude", magI); waitKey(); return EXIT_SUCCESS; }