Image Centroids and Moments

Hello everyone,

I m interested in to vectrize the code to calculate the image moments. Description can be found on following link:

http://en.wikipedia.org/wiki/Image_moment

It is calculated as follow:

Image or patch is provided with two boolean varibales, let say p and q. Then

M_p_q = Summation(x,y) x^p y^q image(x,y).

How could I do this without loops or with single loop. I will be thankful for kind help.

Answer 1

[Image Analyst]

I gave code for computing the third and fourth central moments (skew and kurtosis) in http://www.mathworks.com/matlabcentral/answers/15307-image-operations-skewness-and-kurtosis But there is a difference between the moments with regard to intensity and the moments with regard to how the image is distributed spatially. You know the difference don't you?