NDLI: Sublinear Geometric Algorithms

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Liu, Ding Magen, Avner Chazelle, Bernard
Copyright Year	2006
Abstract	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 and polyhedra, point location in two-dimensional triangulations and Voronoi diagrams, and ray shooting in convex polyhedra, all of which run in expected time $O(\sqrt{n}\,)$, where n is the size of the input. We also provide sublinear solutions for the approximate evaluation of the volume of a convex polytope and the length of the shortest path between two points on the boundary.
Starting Page	627
Ending Page	646
Page Count	20
File Format	PDF
ISSN	00975397
DOI	10.1137/S009753970444572X
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	3
Volume Number	35
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-27
Access Restriction	Subscribed
Subject Keyword	Nonnumerical algorithms sublinear algorithms Analysis of algorithms and problem complexity approximate shortest paths Randomized algorithms polyhedral intersection Analysis of algorithms
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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Sublinear Geometric Algorithms