Yes, "Integral Images" would seem to be the two-dimensional extension of the concept discussed in the OP (but the OP does not go there). People who studied pro

Yes, "Integral Images" would seem to be the two-dimensional extension of the concept discussed in the OP (but the OP does not go there). People who studied probability are familiar with the 1-dimensional, 2-dimensional, and the general cases, because they are just cumulative distribution functions and the inclusion-exclusion principle (http://en.wikipedia.org/wiki/Inclusion-exclusion_principle http://en.wikipedia.org/wiki/Inclusion-exclusion_principle) applied to half-spaces.