Extended convex hull

Komei Fukuda, Thomas M. Liebling, Christine Lütolf
2001 Computational geometry  
In this paper we address the problem of computing a minimal representation of the convex hull of the union of k H -polytopes in R d . 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. 
doi:10.1016/s0925-7721(01)00032-3 fatcat:ehcccpjpifdnxeo4hnrskmmxny