relation: http://eprints.imtlucca.it/468/
title: Convexity recognition of the union of polyhedra
creator: Bemporad, Alberto
creator: Fukuda, Komei
creator: Torrisi, Fabio Danilo
subject: QA Mathematics
description: In this paper we consider the following basic problem in polyhedral computation: Given two polyhedra in Rd, P and Q, decide whether their union is convex, and, if so, compute it. We consider the three natural specializations of the problem: 1) when the polyhedra are given by halfspaces (H-polyhedra), 2) when they are given by vertices and extreme rays (V-polyhedra), and 3) when both H- and V-polyhedral representations are available. Both the bounded (polytopes) and the unbounded case are considered. We show that the first two problems are polynomially solvable, and that the third problem is strongly-polynomially solvable.
publisher: Elsevier
date: 2001-04
type: Article
type: PeerReviewed
identifier:   Bemporad, Alberto and Fukuda, Komei and Torrisi, Fabio Danilo  Convexity recognition of the union of polyhedra.  Computational Geometry, 18 (3).  pp. 141-154.  ISSN 0925-7721      (2001)  
relation: http://www.sciencedirect.com/science/article/pii/S0925772101000049
relation: 10.1016/S0925-7721(01)00004-9