Beneath-and-Beyond revisited

Details Beneath-and-Beyond revisited Beneath-and-Beyond revisited

2002-10-09

arxiv.org/abs/math/0210133v2

Mathematics

Metric Geometry

21 pages, 2 figures; v2: added the bibliography which was erroneously omitted in v1

Scientific paper

It is shown how the Beneath-and-Beyond algorithm can be used to yield another
proof of the equivalence of V- and H-representations of convex polytopes. In
this sense this paper serves as the sketch of an introduction to polytope
theory with a focus on algorithmic aspects. Moreover, computational results are
presented to compare Beneath-and-Beyond to other convex hull implementations.

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