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» Convex Hull of Planar H-Polyhedra
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CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 9 months ago
Convex Hull of Imprecise Points in o(n \log{n}) Time after Preprocessing
Motivated by the desire to cope with data imprecision [8], we study methods for preprocessing a set of planar regions such that whenever we are given a set of points, each of whic...
Esther Ezra, Wolfgang Mulzer
DCG
2007
102views more  DCG 2007»
13 years 5 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
CORR
2002
Springer
93views Education» more  CORR 2002»
13 years 5 months ago
On the Reflexivity of Point Sets
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
Esther M. Arkin, Sándor P. Fekete, Ferran H...
DIMACS
2001
13 years 7 months ago
Combinatorial Roadmaps in Configuration Spaces of Simple Planar Polygons
Abstract. One-degree-of-freedom mechanisms induced by minimum pseudotriangulations with one convex hull edge removed have been recently introduced by the author to solve a family o...
Ileana Streinu
COMPGEOM
2001
ACM
13 years 9 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...