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Direct Diffusion Method for the Construction of Generalized Voronoi Diagrams

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3 Author(s)
Tetsushi Nishida ; University of Tokyo, Japan ; Shingo Ono ; Kokichi Sugihara

We propose a new method to construct discrete Voronoi diagrams, which we call the direct diffusion method. Once we implement it as software, we can easily modify it for various types of digital Voronoi diagrams by changing only the the distance function from a point to a generator represented by a general shape. Our method can construct discrete Voronoi diagrams even if the generator points are not at the centers of pixels. Furthermore, our method can construct the Voronoi diagrams without approximating general shapes by sets of pixels.

Published in:

Voronoi Diagrams in Science and Engineering, 2007. ISVD '07. 4th International Symposium on

Date of Conference:

9-11 July 2007