New Similarity Measure for Images

    For the new similarity measure between two images f1(x;y) and f2(x; y), we need to calculate their absolute difference

In order to utilize the spatial information present in the pixels, we first define intensity center m = (mx; my; 0) which satisfies the following relations

  

where u*v is the size of the image, and M is the total sum of gray levels of the image and given by

The main property of the intensity center is that an image can be divided into two parts by a line passing through the center so that the sum of intensities of pixels in each part is the same.

    Let us define a pixel vector as

    Now, a similarity between the two images is defined as