Approximation of multiplicatively weighted crystal growth voronoi diagram and its application

Kei Kobayashi; Kokichi Sugihara

doi:10.1002/ecjc.1098

Approximation of multiplicatively weighted crystal growth voronoi diagram and its application

Research output: Contribution to journal › Article › peer-review

Abstract

A multiplicatively weighted crystal growth Voronoi diagram is a type of planar segmentation diagram that can result when crystals grow at different speeds from several points. In this paper, we first define a multiplicatively weighted crystal growth Voronoi diagram, discuss its properties, and find the analytic solution for the simple case. The approximate solution method for the complex case is constructed by using a difference method for partial differential equations called the fast marching method. Then the multiplicatively weighted crystal growth Voronoi diagram is used to construct a technique for optimum path planning of competing mobile robots.

Original language	English
Pages (from-to)	21-31
Number of pages	11
Journal	Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume	85
Issue number	6
DOIs	https://doi.org/10.1002/ecjc.1098
Publication status	Published - 2002 Jun 1
Externally published	Yes

Keywords

Competing robots
Crystal growth model
Fast marching method
Multiplicatively weighted Voronoi diagram
Robot path planning

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1002/ecjc.1098

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Approximation of multiplicatively weighted crystal growth voronoi diagram and its application. / Kobayashi, Kei; Sugihara, Kokichi.

In: Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi), Vol. 85, No. 6, 01.06.2002, p. 21-31.

Research output: Contribution to journal › Article › peer-review

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