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Published Articles >> Table of Contents >> Abstract
International Conference on Shape Modeling and Applications
p. 154
Generalization of an Interpolant Using Voronoi Diagrams in Two Directions
Hisamoto Hiyoshi, University of Tokyo,
Kokichi Sugihara, University of Tokyo,
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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/SMA.1999.749335
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| Abstract |
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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.
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Citation:
Hisamoto Hiyoshi, Kokichi Sugihara,
"Generalization of an Interpolant Using Voronoi Diagrams in Two Directions,"
smi,
p. 154,
International Conference on Shape Modeling and Applications,
1999
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