Weird output while finding entropy of frames of a video in opencv

Question

#include <cv.h>
#include <highgui.h>
#include <iostream>
#include <cmath>
#include <cstdlib>
#include <fstream>

using namespace std;

typedef struct histBundle {
double rCh[256];
double gCh[256];
double bCh[256];
}bundleForHist;

bundleForHist getHistFromImage (IplImage* img, int numBins) {
float range[] = {
    0, 
    numBins
};
float *ranges[] = { 
    range 
};

bundleForHist bfh;

CvHistogram *hist = cvCreateHist (1, &numBins, CV_HIST_ARRAY, ranges, 1);
cvClearHist (hist);
IplImage* imgRed   = cvCreateImage(cvGetSize(img), 8, 1);
IplImage* imgGreen = cvCreateImage(cvGetSize(img), 8, 1);
IplImage* imgBlue  = cvCreateImage(cvGetSize(img), 8, 1);
cvSplit(img, imgBlue, imgGreen, imgRed, NULL);
cvCalcHist(&imgRed, hist, 0, 0);
for (int i = 0; i < numBins; ++i) {
    bfh.rCh[i] = cvQueryHistValue_1D(hist, i);
}
cvClearHist(hist);
cvCalcHist(&imgGreen, hist, 0, 0);
for (int i = 0; i < numBins; ++i) {
    bfh.gCh[i] = cvQueryHistValue_1D(hist, i);
}
cvClearHist(hist);
cvCalcHist(&imgBlue, hist, 0, 0);
for (int i = 0; i < numBins; ++i) {
    bfh.bCh[i] = cvQueryHistValue_1D(hist, i);
}
cvClearHist(hist);
return bfh;
}

int main (int argc, char** argv) {
int c;
IplImage* img = NULL;
int frame_number = 0;
CvCapture* capture = cvCaptureFromAVI ("Cricketc1.avi");
assert(capture);
int fps = ( int )cvGetCaptureProperty( capture, CV_CAP_PROP_FPS );
cvNamedWindow ("Video", 0);

while (1) {
    //IplImage * img = cvLoadImage("C:\\Users\\ANIMES~1\\Desktop\\bw.jpg");
    img = cvQueryFrame(capture);
    frame_number++;
    if (img) {
        cvShowImage("Video", img);
        int numBins = 256;
        bundleForHist bfh;
        bfh = getHistFromImage (img, numBins);
        double totalForR = 0;
        double totalForG = 0;
        double totalForB = 0;
        double probR[256];
        double probG[256];
        double probB[256];
        for (int i = 0; i < numBins-1; ++i) {
            totalForR += bfh.rCh[i];
            totalForG += bfh.gCh[i];
            totalForB += bfh.bCh[i];
        }
        double lengthHistogram = totalForR + totalForG + totalForB;
        for (int i = 0; i < 256; ++i) {
            probR[i] = bfh.rCh[i]/(double)lengthHistogram;
            probG[i] = bfh.gCh[i]/(double)lengthHistogram;
            probB[i] = bfh.bCh[i]/(double)lengthHistogram;
            //file << bfh.rCh[i] << "\t" << bfh.gCh[i] << "\t" << bfh.bCh[i] << "\t" << probR[i] << "\t" << probG[i] << "\t" << probB[i] << "\n";
        }

        double entropyR = 0.0;
        double entropyG = 0.0;
        double entropyB = 0.0;
        for (int i = 0; i < numBins; ++i) {
            entropyR += probR[i]*log(probR[i]);
            entropyG += probG[i]*log(probG[i]);
            entropyB += probB[i]*log(probB[i]);
        }
        cout << frame_number << "\t" << (-1.0)*(entropyR + entropyG + entropyB) << endl;
    }
    c = cvWaitKey(1000/fps);
    if (c == 27)
        break;
}
//cvReleaseImage(&img);
cvReleaseCapture(&capture);
cvDestroyWindow("Video");
return 0;
}

OUTPUT:

.
.
254     -1.#IND
255     -1.#IND
256     -1.#IND
257     -1.#IND
258      5.5686
.
.

I first found the image entropy, which came out to be correct. but nearly 80 % of the frame entropies for the video are coming out to be -1.#IND.

This is the video ....download

What could be going wrong?

Answer 1

It might be the case that prob[i] = 0 for some i, therefore you are calculating log(0) which is undefined. To fix that you simply discard such "probabilities":

for (int i = 0; i < numBins; ++i) {
    if (prob[i])
        entropy += prob[i]*log(prob[i]);
}

For the other error you found regarding the 0 value in the bin 255, that is due to the range you specified. OpenCV considers the range for the relevant function as [start, end), so specifying a range of [0, 255) is going to ignore the end value of 255. What you want is to keep both 0 and 255, therefore:

float range[] = {0, numBins};