how to estimate summed area table for a color image??

A summed area table is a data structure and algorithm for quickly and efficiently generating the sum of values in a rectangular subset of a grid.

For a 2D space a summed area table can be generated by iterating x,y over the desired range,

I(x,y) = i(x,y) + I(x-1,y) + I(x,y-1) - I(x-1,y-1)

And the query function for a rectangle corners A(top-left), B(top-right), C(bottom-right), D can be given by:-

I(C) + I(A) - I(B) - I(D)

I need to calculate summed area table for color image(i.e. it's needed to calculate summed area table for each color channel independently) as the following equation:

. Then i need to estimate a weighting map from the summed area table with the following equation:

Does any one know how to do this in Matlab??