Convex Hull of Planar H-Polyhedra

Simon, Axel and King, Andy (2004) Convex Hull of Planar H-Polyhedra. International Journal of Computer Mathematics, 81 (4). pp. 259-271. ISSN 0020-7160.

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Abstract

Suppose hAi;~cii are planar (convex) H-polyhedra, that is, Ai 2 Rni�2 and ~ci 2 Rni . Let Pi = f~x 2 R2 j Ai~x � ~cig and n = n1 +n2. We present an O(n log n) algorithm for calculating an H-polyhedron hA;~ci with the smallest P = f~x 2 R2 j A~x � ~cg such that P1 [ P2 � P.

Item Type: Article
Uncontrolled keywords: convex hull, computational geometry
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Theoretical Computing Group
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:02
Last Modified: 06 Sep 2011 01:26
Resource URI: http://kar.kent.ac.uk/id/eprint/14204 (The current URI for this page, for reference purposes)
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