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Cutting a Convex Polyhedron Out of a Sphere
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Cutting a Convex Polyhedron Out of a Sphere

Syed Ishtiaque Ahmed, Masud Hasan and Md Islam
arXiv.org
Cornell University Library, arXiv.org
09/03/2010

Abstract

Algorithms Apexes Cutting Polyhedra
Given a convex polyhedron \(P\) of \(n\) vertices inside a sphere \(Q\), we give an \(O(n^3)\)-time algorithm that cuts \(P\) out of \(Q\) by using guillotine cuts and has cutting cost \(O((\log n)^2)\) times the optimal.

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