Practical Efficiencies of Planar Point Location Algorithms (Special Section on Discrete Mathematics and Its Applications)
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概要
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The planar point location problem is one of the most fundamental problems in computational geometry and stated as follows: Given a straight line planar graph (subdivision) with n vertices and an arbitrary query point Q, determine the region containing Q. Many algorithms have been proposed, and some of them are known to be theoretically optimal (O(log n) search time, O(n) space and O(n log n) preprocessing time). In this paper, we implement several representative algorithms in C, and investigate their practical efficiencies by computational experiments on Voronoi diagrams with 2^<10>-2^<17> vertices.
- 社団法人電子情報通信学会の論文
- 1994-04-25
著者
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Asano Takao
Faculty Of Engineering Tohoku University
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Asano Takao
Faculty Of Science And Engineering Chuo University
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Edahiro Masato
C&c Research Laboratories Nec Corporation
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Kagami Satoshi
Faculty Of Engineering The University Of Tokyo
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Edahiro Masato
C&C Research Laboratories, NEC Corporation
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- Practical Efficiencies of Planar Point Location Algorithms (Special Section on Discrete Mathematics and Its Applications)