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» Fundamental results for pointfree convex geometry
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APAL
2010
130views more  APAL 2010»
12 years 11 months ago
Fundamental results for pointfree convex geometry
Yoshihiro Maruyama
CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 4 months ago
Transdichotomous Results in Computational Geometry, II: Offline Search
We reexamine fundamental problems from computational geometry in the word RAM model, where input coordinates are integers that fit in a machine word. We develop a new algorithm fo...
Timothy M. Chan, Mihai Patrascu
DCG
2006
163views more  DCG 2006»
13 years 4 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain
SIBGRAPI
2008
IEEE
13 years 11 months ago
Tradeoffs in Approximate Range Searching Made Simpler
Range searching is a fundamental problem in computational geometry. The problem involves preprocessing a set of n points in Rd into a data structure, so that it is possible to det...
Sunil Arya, Guilherme Dias da Fonseca, David M. Mo...
SWAT
2000
Springer
90views Algorithms» more  SWAT 2000»
13 years 8 months ago
Efficient Expected-Case Algorithms for Planar Point Location
Planar point location is among the most fundamental search problems in computational geometry. Although this problem has been heavily studied from the perspective of worst-case que...
Sunil Arya, Siu-Wing Cheng, David M. Mount, Ramesh...