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» Convex Recoloring Revisited: Complexity and Exact Algorithms
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SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
13 years 10 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
COMGEO
2010
ACM
13 years 3 months ago
Exact join detection for convex polyhedra and other numerical abstractions
r Numerical Abstractions6 Roberto Bagnaraa , Patricia M. Hillb , Enea Zaffanellaa aDepartment of Mathematics, University of Parma, Italy bSchool of Computing, University of Leeds, ...
Roberto Bagnara, Patricia M. Hill, Enea Zaffanella
COMPGEOM
2005
ACM
13 years 5 months ago
Multi-pass geometric algorithms
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
Timothy M. Chan, Eric Y. Chen
SMA
2010
ACM
231views Solid Modeling» more  SMA 2010»
13 years 3 months ago
Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space
We present a novel method for fast retrieval of exact Minkowski sums of pairs of convex polytopes in R3 , where one of the polytopes keeps rotating. The algorithm is based on pre-...
Naama Mayer, Efi Fogel, Dan Halperin
COMPGEOM
1991
ACM
13 years 7 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda