A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\)
type: Item
instance of: scholarly article
title: A criterion for the affine equivalence of cell complexes in \(R^ d\) and convex polyhedra in \(R^{d+1}\)
zbMATH Open document ID: 0608.52006
DOI: 10.1007/BF02187870
author: Franz Aurenhammer
published in: Discrete \& Computational Geometry
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131009
review text: The author gives a criterion for determining whether a convex tiling C of \({\mathbb{R}}^ d\) is the projection of the set of faces of some polyhedron P in \({\mathbb{R}}^{d+1}\). The criterion is constructive, in that, if P exists, it can be reconstructed from P. Various related notions are also discussed in the paper.
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 3984014
zbMATH Keywords: affine equivalence of cell complexes and convex polyhedra
zbMATH Keywords: convex tiling
zbMATH Keywords: projection
MaRDI profile type: Publication
cites work: Almost linear upper bounds on the length of general Davenport-Schinzel sequences
cites work: Power Diagrams: Properties, Algorithms and Applications
cites work: A new duality result concerning Voronoi diagrams
cites work: Recognising polytopical cell complexes and constructing projection polyhedra
cites work: A convex 3-complex not simplicially isomorphic to a strictly convex complex
cites work: The classification of zonohedra by means of projective diagrams
cites work: Finding extreme points in three dimensions and solving the post-office problem in the plane
cites work: Dynamic Three-Dimensional Linear Programming
cites work: On the perspective deformation of polyhedra
description: scientific article; zbMATH DE number 3984014