Extended convex hull

AbstractIn this paper we address the problem of computing a minimal representation of the convex hull of the union of k H-polytopes in Rd. Our method applies the reverse search algorithm to a shelling ordering of the facets of the convex hull. Efficient wrapping is done by projecting the polytopes onto the two-dimensional space and solving a linear program. The resulting algorithm is polynomial in the sizes of input and output under the general position assumption