The Linear Integration Problem I

We describe what we call a dual algorithm for computing the volume of Ω(y), i.e., problem I with c ≡ 0, because it is a standard problem in computational geometry with many interesting and important applications, and also because the same algorithm works when c ≠ 0, with ad hoc and obvious modifications. Also it can be a viable alternative or complement to the various primal methods briefly presented below.