Division of a Region into Equal Areas Using Additively Weighted Power Diagrams

I
ISVD
2007
4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)
Abstract - Division of a Region into Equal Areas Using Additively Weighted Power Diagrams

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4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)

University of Glamorgan, Pontypridd, Wales

July 09-July 11

ISBN: 0-7695-2869-4

	ASCII Text	x
	Takashi Ohyama, "Division of a Region into Equal Areas Using Additively Weighted Power Diagrams," International Symposium on Voronoi Diagrams in Science and Engineering, pp. 152-158, 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007), 2007.

	BibTex	x
	@article{ 10.1109/ISVD.2007.20, author = {Takashi Ohyama}, title = {Division of a Region into Equal Areas Using Additively Weighted Power Diagrams}, journal ={International Symposium on Voronoi Diagrams in Science and Engineering}, volume = {0}, year = {2007}, isbn = {0-7695-2869-4}, pages = {152-158}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISVD.2007.20}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - International Symposium on Voronoi Diagrams in Science and Engineering TI - Division of a Region into Equal Areas Using Additively Weighted Power Diagrams SN - 0-7695-2869-4 SP152 EP158 A1 - Takashi Ohyama, PY - 2007 KW - null VL - 0 JA - International Symposium on Voronoi Diagrams in Science and Engineering ER -

Takashi Ohyama, Japan Knowledge Solutions Co., Ltd.

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISVD.2007.20

In this paper, we apply an additively weighted power diagram to divide a region such that the area of influence of public facilities is equalized in order to achieve equality. The weights of the power diagram were changed using Newton's method in order to divide the region into equal areas and obtain its weights and partitions such that the areas are equal.

Citation:

Takashi Ohyama, "Division of a Region into Equal Areas Using Additively Weighted Power Diagrams," isvd, pp.152-158, 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007), 2007

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