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FAW
2010
Springer
259views Algorithms» more  FAW 2010»
13 years 5 months ago
Adaptive Algorithms for Planar Convex Hull Problems
We study problems in computational geometry from the viewpoint of adaptive algorithms. Adaptive algorithms have been extensively studied for the sorting problem, and in this paper ...
Hee-Kap Ahn, Yoshio Okamoto
COMPUTING
2004
172views more  COMPUTING 2004»
13 years 4 months ago
The Convex Hull of Freeform Surfaces
We present an algorithm for computing the convex hull of freeform rational surfaces. The convex hull problem is reformulated as one of finding the zero-sets of polynomial equation...
Joon-Kyung Seong, Gershon Elber, John K. Johnstone...
CCCG
2006
13 years 6 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
CCCG
2008
13 years 6 months ago
Convex Hull of the Union of Convex Objects in the Plane: an Adaptive Analysis
We prove a tight asymptotic bound of ( log(n/)) on the worst case computational complexity of the convex hull of the union of two convex objects of sizes summing to n requiring o...
Jérémy Barbay, Eric Y. Chen
DIMACS
2001
13 years 6 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