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FAW
2010
Springer
259views Algorithms» more  FAW 2010»
14 years 16 days 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
ISAAC
2005
Springer
98views Algorithms» more  ISAAC 2005»
14 years 5 months ago
Casting an Object with a Core
This paper addresses geometric problems that concern manufacturing an object using a cast with a core. In casting, molten material is poured into the cavity of the cast and allowe...
Hee-Kap Ahn, Sang Won Bae, Siu-Wing Cheng, Kyung-Y...
SODA
2010
ACM
163views Algorithms» more  SODA 2010»
14 years 8 months ago
Geometric optimization and sums of algebraic functions
We present a new optimization technique that yields the first FPTAS for several geometric problems. These problems reduce to optimizing a sum of non-negative, constant description...
Antoine Vigneron
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 11 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen