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» Self-improving Algorithms for Convex Hulls
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COMPGEOM
2007
ACM
15 years 8 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
148
Voted
IWPEC
2004
Springer
15 years 9 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
144
Voted
SMA
1995
ACM
176views Solid Modeling» more  SMA 1995»
15 years 7 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
172
Voted
CCCG
2006
15 years 5 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»
15 years 3 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...