//////////////////////////////////////////////////////////////////////////////// // Empirical Mode Decomposition // // BERNARD Guillaume // // DURAND William // // ZZ3F2 ISIMA // //////////////////////////////////////////////////////////////////////////////// #include "CImg.h" #include #include #include #include #include "Euclidean.hpp" #define MIN(x,y) ((x)<(y)?(x):(y)) #define MAX(x,y) ((x)>(y)?(x):(y)) using namespace cimg_library; int SIZE = 3; double sum(CImg img, int startedX, int startedY, int w) { double res = 0; for (int i = startedX - ((w - 1) / 2); i < startedX + ((w + 1) / 2); i++) { for (int j = startedY - ((w - 1) / 2) ; j < startedY + ((w + 1) / 2); j++) { if ((i >= 0 && i < img.width()) && (j >= 0 && j < img.height())) { res += img(i,j); } } } return res; } /******************************************************************************* Main *******************************************************************************/ int main() { #ifdef DEBUG CImg inputImg(8, 8, 1, 3); int tab[][8] = { { 8, 8, 4, 1, 5, 2, 6, 3 }, { 6, 3, 2, 3, 7, 3, 9, 3 }, { 7, 8, 3, 2, 1, 4, 3, 7 }, { 4, 1, 2, 4, 3, 5, 7, 8 }, { 6, 4, 2, 1, 2, 5, 3, 4 }, { 1, 3, 7, 9, 9, 8, 7, 8 }, { 9, 2, 6, 7, 6, 8, 7, 7 }, { 8, 2, 1, 9, 7, 9, 1, 1 } }; printf("Base:\n"); for (int i = 0; i < inputImg.width(); i++) { for (int j = 0; j < inputImg.height(); j++) { inputImg(i, j) = tab[i][j]; printf("%d ", inputImg(i, j)); } printf("\n"); } #else CImg inputImg("lena.bmp"); CImgDisplay dispBase(inputImg,"Source Image"); #endif std::vector vectEMax, vectEMin; /////////////////////////////////////////////////////////////////////////////// // Part 1: Finding minimas and maximas // /////////////////////////////////////////////////////////////////////////////// timeval tim; double t1, t2; CImg imgMax(inputImg.channel(0)); CImg imgMin(inputImg.channel(0)); fprintf(stdout, "%-40s", "Calculate the extremas..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); int xmin, xmax, ymin, ymax; float min, max; for (int i = 0; i < inputImg.width(); i += SIZE) { for (int j = 0; j < inputImg.height(); j += SIZE) { // Save max and min locations xmax = i; ymax = j; xmin = i; ymin = j; // save values max = imgMax(i,j); min = imgMin(i,j); Euclidean eMax(i, j); Euclidean eMin(i, j); // SIZExSIZE for (int k = i; k < i + SIZE; k++) { for (int l = j; l < j + SIZE; l++) { // Max if ((imgMax(k, l) <= max) && (l != ymax || k != xmax)) { imgMax(k, l) = 0; } else if (l!=ymax || k!=xmax) { max = imgMax(k, l); imgMax(xmax,ymax) = 0; xmax = k; ymax = l; eMax.setX(k); eMax.setY(l); } // Min if ((imgMin(k, l) >= min) && (l != ymin || k != xmin)) { imgMin(k, l) = 0; } else if (l != ymax || k != xmax) { min = imgMin(k, l); imgMin(xmin, ymin) = 0; xmin = k; ymin = l; eMin.setX(k); eMin.setY(l); } } } vectEMax.push_back(eMax); vectEMin.push_back(eMin); } } #ifdef DEBUG printf("Extremas:\n"); printf("Max\n"); for (int i = 0; i < imgMax.width(); i++) { for (int j = 0; j < imgMax.height(); j++) { printf("%d ", imgMax(i, j)); } printf("\n"); } printf("Min\n"); for (int i = 0; i < imgMin.width(); i++) { for (int j = 0; j < imgMin.height(); j++) { printf("%d ", imgMin(i, j)); } printf("\n"); } #endif gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); // Array of Euclidean distance to the nearest non zero element std::vector::iterator it1, it2; fprintf(stdout, "%-40s", "Calculate the Euclidean distances..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); for (it1 = vectEMax.begin(); it1 != vectEMax.end(); it1++) { for (it2 = it1 + 1; it2 != vectEMax.end(); it2++) { double dist = (*it1).computeDistanceFrom(*it2); if (0 == (*it1).getDistance() || dist < (*it1).getDistance()) { (*it1).setDistance(dist); (*it1).setNearest(*it2); } if (0 == (*it2).getDistance() || dist < (*it2).getDistance()) { (*it2).setDistance(dist); (*it2).setNearest(*it1); } } } for (it1 = vectEMin.begin(); it1 != vectEMin.end(); it1++) { for (it2 = it1 + 1; it2 != vectEMin.end(); it2++) { double dist = (*it1).computeDistanceFrom(*it2); if (0 == (*it1).getDistance() || dist < (*it1).getDistance()) { (*it1).setDistance(dist); (*it1).setNearest(*it2); } if (0 == (*it2).getDistance() || dist < (*it2).getDistance()) { (*it2).setDistance(dist); (*it2).setNearest(*it1); } } } gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); fprintf(stdout, "%-40s", "Calculate the window size..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Calculate the window size int wmax = 0; for(unsigned int i = 0; i < vectEMin.size(); i++) { double d = MAX(Euclidean::max(vectEMax), Euclidean::max(vectEMin)); wmax = (int)ceil(d); if(wmax % 2 == 0) { wmax++; } } gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); CImg imgSource(inputImg.channel(0)); fprintf(stdout, "%-40s", "Order the filters..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Order filters with source image std::vector vectFilterMax, vectFilterMin; for(int unsigned i = 0; i < vectEMax.size(); i++) { float max = 0; for (int k = vectEMax[i].getX() - ((wmax - 1) / 2); k < vectEMax[i].getX() + ((wmax + 1) / 2); k++) { for (int l = vectEMax[i].getY() - ((wmax - 1) / 2); l < vectEMax[i].getY() + ((wmax + 1) / 2); l++) { if( (k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height()) ) { if (imgSource(k, l) > max) { max = imgSource(k, l); } } } } vectFilterMax.push_back(max); } for(int unsigned i = 0; i < vectEMin.size(); i++) { float min = 255; for (int k = vectEMin[i].getX() - ((wmax - 1) / 2); k < vectEMin[i].getX() + ((wmax + 1) / 2); k++) { for (int l = vectEMin[i].getY() - ((wmax - 1) / 2); l < vectEMin[i].getY() + ((wmax + 1) / 2); l++) { if( (k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height()) ) { if (imgSource(k, l) < min) { min = imgSource(k, l); } } } } vectFilterMin.push_back(min); } gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); CImg newImgMax(imgMax.width(), imgMax.height()); fprintf(stdout, "%-40s", "Calculate the upper envelope..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Calculate the upper envelope for(int unsigned i = 0; i < vectEMax.size(); i++) { for (int k = vectEMax[i].getX() - ((wmax - 1) / 2); k < vectEMax[i].getX() + ((wmax + 1) / 2); k++) { for (int l = vectEMax[i].getY() - ((wmax - 1) / 2); l < vectEMax[i].getY() + ((wmax + 1) / 2); l++) { if ((k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height())) { if( imgMax(k, l) == 0 ) { imgMax(k, l) = vectFilterMax[i]; } else { imgMax(k, l) = (int)((imgMax(k, l) + vectFilterMax[i]) / 2); } } } } } #ifdef DEBUG printf("Envelopes:\n"); printf("Max\n"); for (int i = 0; i < newImgMax.width(); i++) { for (int j = 0; j < newImgMax.height(); j++) { printf("%d ", newImgMax(i, j)); } printf("\n"); } #endif gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); fprintf(stdout, "%-40s", "Smooth the upper envelope..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Smooth of the upper envelope for (int k = 0; k < imgSource.width(); k++) { for (int l = 0; l < imgSource.height(); l++) { if( (k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height()) ) { newImgMax(k, l) = (int)sum(imgMax, k, l, wmax) / (wmax * wmax); } } } gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); CImg newImgMin(imgMin.width(), imgMin.height()); fprintf(stdout, "%-40s", "Calculate the lower envelope..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Calculate the lower envelope for(int unsigned i = 0; i < vectEMin.size(); i++) { for (int k = vectEMin[i].getX() - ((wmax - 1) / 2); k < vectEMin[i].getX() + ((wmax + 1) / 2); k++) { for (int l = vectEMin[i].getY() - ((wmax - 1) / 2); l < vectEMin[i].getY() + ((wmax + 1) / 2); l++) { if( (k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height()) ) { if( imgMin(k, l) == 0 ) { imgMin(k, l) = vectFilterMin[i]; } else { imgMin(k, l) = (int)((imgMin(k, l) + vectFilterMin[i]) / 2); } } } } } #ifdef DEBUG printf("Min\n"); for (int i = 0; i < newImgMin.width(); i++) { for (int j = 0; j < newImgMin.height(); j++) { printf("%d ", newImgMin(i, j)); } printf("\n"); } #endif gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); fprintf(stdout, "%-40s", "Smooth the lower envelope..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Smooth of the lower envelope for (int k = 0; k < imgSource.width(); k++) { for (int l = 0; l < imgSource.height(); l++) { if( (k >= 0 && k < imgSource.width()) && (l >= 0 && l < imgSource.height()) ) { newImgMin(k, l) = (int)sum(imgMin, k, l, wmax) / (wmax * wmax); } } } #ifdef DEBUG printf("Smoothed envelopes:\n"); printf("Max\n"); for (int i = 0; i < newImgMax.width(); i++) { for (int j = 0; j < newImgMax.height(); j++) { printf("%d ", newImgMax(i, j)); } printf("\n"); } printf("Min\n"); for (int i = 0; i < newImgMin.width(); i++) { for (int j = 0; j < newImgMin.height(); j++) { printf("%d ", newImgMin(i, j)); } printf("\n"); } #else // Display images for max and min //CImgDisplay dispEMax(imgMax,"Envelope Max"); //CImgDisplay dispEMin(imgMin,"Envelope Min"); //CImgDisplay dispSMax(newImgMax,"Smooth Max"); //CImgDisplay dispSMin(newImgMin,"Smooth Min"); #endif gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); /////////////////////////////////////////////////////////////////////////////// // Part 2: Average // /////////////////////////////////////////////////////////////////////////////// fprintf(stdout, "%-40s", "Average..."); gettimeofday(&tim, NULL); t1 = tim.tv_sec+(tim.tv_usec/1000000.0); // Calculate the Average CImg imgMoyenne(inputImg.width(), inputImg.height()); for (int i = 0; i < inputImg.width(); i++) { for (int j = 0; j < inputImg.height(); j++) { imgMoyenne(i, j) = (newImgMin(i, j) + newImgMax(i, j)) /2; } } #ifdef DEBUG printf("Average:\n"); for (int i = 0; i < imgMoyenne.width(); i++) { for (int j = 0; j < imgMoyenne.height(); j++) { printf("%d ", imgMoyenne(i, j)); } printf("\n"); } #else //CImgDisplay dispMoyenne(imgMoyenne, "Average"); #endif gettimeofday(&tim, NULL); t2 = tim.tv_sec+(tim.tv_usec/1000000.0); printf("%.6f seconds\n", t2 - t1); /////////////////////////////////////////////////////////////////////////////// // Partie 3: Deletion // /////////////////////////////////////////////////////////////////////////////// #ifndef DEBUG printf(" Deletion..\n"); CImg imgMode(inputImg - imgMoyenne); CImgDisplay dispMode(imgMode, "Mode 1"); #endif #ifndef DEBUG printf("End\n"); while (!dispBase.is_closed()) { dispBase.wait(); } #endif return 0; }