Journal of the City Planning Institute of Japan
Online ISSN : 2185-0593
Print ISSN : 0916-0647
ISSN-L : 0916-0647
Incremental Method for Circular-Radial Voronoi Diagram
Ryo IwakiOsamu KuritaTakamori Ukai
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2018 Volume 53 Issue 3 Pages 632-639

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Abstract
We can use many kinds of metrics when we use Voronoi diagrams for analyzing in urban and regional models. As well known, the circular-radial metric is suitable to formulate several analytical models for many large scale urban fields. However, there exist few previous studies to construct the Voronoi diagram for circular-radial metric. In this paper, the algorithm of drawing the Voronoi diagram for circular-radial metric is concerned. For the first, we introduce analytical derivation of Voronoi borders, which is cumbersome procedure. In the next, we suggest the incremental method for drawing the Voronoi diagram based on the Voronoi borders result.
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© 2018 The City Planning Institute of Japan
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