Generalization of an Interpolant Using Voronoi Diagrams in Two Directions

S
SMI
1999
International Conference on Shape Modeling and Applications
Abstract - Generalization of an Interpolant Using Voronoi Diagrams in Two Directions

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	Similar Articles Articles by Hisamoto Hiyoshi Articles by Kokichi Sugihara

International Conference on Shape Modeling and Applications

Aizu-Wakamatsu, Japan

March 01-March 04

ISBN: 0-7695-0065-X

	ASCII Text	x
	Hisamoto Hiyoshi, Kokichi Sugihara, "Generalization of an Interpolant Using Voronoi Diagrams in Two Directions," Shape Modeling and Applications, International Conference on, pp. 154, International Conference on Shape Modeling and Applications, 1999.

	BibTex	x
	@article{ 10.1109/SMA.1999.749335, author = {Hisamoto Hiyoshi and Kokichi Sugihara}, title = {Generalization of an Interpolant Using Voronoi Diagrams in Two Directions}, journal ={Shape Modeling and Applications, International Conference on}, volume = {0}, year = {1999}, isbn = {0-7695-0065-X}, pages = {154}, doi = {http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749335}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Shape Modeling and Applications, International Conference on TI - Generalization of an Interpolant Using Voronoi Diagrams in Two Directions SN - 0-7695-0065-X SP EP A1 - Hisamoto Hiyoshi, A1 - Kokichi Sugihara, PY - 1999 VL - 0 JA - Shape Modeling and Applications, International Conference on ER -

Hisamoto Hiyoshi, University of Tokyo,

Kokichi Sugihara, University of Tokyo,

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749335

Recently the authors found a local coordinate property based on the planer Voronoi diagram that is simpler than the famous Sibson's local coordinates, and proposed an interpolant using this property. This paper generalizes this property to general dimensions. The proof given in this paper enables us to use more general Voronoi diagrams, e.g., Laguerre Voronoi diagrams and numerically distributed Voronoi diagrams obtained by topology-oriented algorithms. This paper also generalizes the author's interpolant to continuously distributed data sites.

Citation:

Hisamoto Hiyoshi, Kokichi Sugihara, "Generalization of an Interpolant Using Voronoi Diagrams in Two Directions," smi, pp.154, International Conference on Shape Modeling and Applications, 1999

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