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» Self-improving Algorithms for Convex Hulls
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COMPGEOM
2007
ACM
15 years 1 months ago
On the hardness of minkowski addition and related operations
For polytopes P, Q Rd we consider the intersection P Q; the convex hull of the union CH(P Q); and the Minkowski sum P + Q. We prove that given rational H-polytopes P1, P2, Q it...
Hans Raj Tiwary
IWPEC
2004
Springer
15 years 2 months ago
The Minimum Weight Triangulation Problem with Few Inner Points
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
Michael Hoffmann, Yoshio Okamoto
SMA
1995
ACM
176views Solid Modeling» more  SMA 1995»
15 years 1 months ago
Incremental algorithms for collision detection between solid models
: Fast and accurate collision detection between general solid models is a fundamental problem in solid modeling, robotics, animation and computer-simulated environments. Most of th...
Madhav K. Ponamgi, Dinesh Manocha, Ming C. Lin
114
Voted
CCCG
2006
14 years 11 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Asish Mukhopadhyay, Robert L. Scot Drysdale
ALGORITHMICA
1998
143views more  ALGORITHMICA 1998»
14 years 9 months ago
On Minimum-Area Hulls
Abstract. We study some minimum-area hull problems that generalize the notion of convex hull to starshaped and monotone hulls. Specifically, we consider the minimum-area star-shap...
Esther M. Arkin, Yi-Jen Chiang, Martin Held, Josep...