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http://dx.doi.org/10.11627/jkise.2012.35.4.235

Using Voronoi Diagram and Power Diagram in Application Problems  

Kim, Donguk (Department of Industrial, Information, and Management Engineering, Gangneung-Wonju National University)
Publication Information
Journal of Korean Society of Industrial and Systems Engineering / v.35, no.4, 2012 , pp. 235-243 More about this Journal
Abstract
The Voronoi diagram of spheres and power diagram have been known as powerful tools to analyze spatial characteristics of weighted points, and these structures have variety range of applications including molecular spatial structure analysis, location based optimization, architectural design, etc. Due to the fact that both diagrams are based on different distance metrics, one has better usability than another depending on application problems. In this paper, we compare these diagrams in various situations from the user's viewpoint, and show the Voronoi diagram of spheres is more effective in the problems based on the Euclidean distance metric such as nearest neighbor search, path bottleneck locating, and internal void finding.
Keywords
Voronoi Diagram; Power Diagram; Beta-Complex; Alpha-Complex;
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