Title
Reconstructing orthogonal polyhedra from putative vertex sets
Abstract
In this paper we study the problem of reconstructing orthogonal polyhedra from a putative vertex set, i.e., we are given a set of points and want to find an orthogonal polyhedron for which this is the set of vertices. This is well-studied in 2D; we mostly focus on 3D, and on the case where the given set of points may be rotated beforehand. We obtain fast algorithms for reconstruction in the case where the answer must be orthogonally convex.
Year
DOI
Venue
2011
10.1016/j.comgeo.2011.04.002
Comput. Geom.
Keywords
Field
DocType
reconstruction,orthogonal polyhedra,orthogonally convex,fast algorithm,vertex representation,putative vertex set,vertex set,orthogonal polyhedron
Vertex configuration,Orthogonal convex hull,Discrete mathematics,Combinatorics,Vertex (geometry),Vertex (graph theory),Dual polyhedron,Polyhedron,Spherical polyhedron,Mathematics
Journal
Volume
Issue
ISSN
44
8
Computational Geometry: Theory and Applications
Citations 
PageRank 
References 
8
0.73
10
Authors
2
Name
Order
Citations
PageRank
Therese Biedl1902106.36
Burkay Genç2162.94