Paper Info
Title
Open Problem: A Formula for Calculation of the Voronoi S-region Volume
Abstract
Fast and accurate calculation of the volume of additively weighted Voronoi region (Johnson-Mehl nucleus, or Voronoi S-region) is needed in various physical applications. The problem will be solved if an analytical expression could be derived for volume calculation of the pyramid which base is a piece of the hyperboloid surface.
Year
DOI
Venue
2013
10.1109/ISVD.2013.14
Voronoi Diagrams in Science and Engineering
Keywords
Field
DocType
open problem,volume calculation,voronoi s-region volume,various physical application,accurate calculation,johnson-mehl nucleus,additively weighted voronoi region,hyperboloid surface,analytical expression,voronoi s-region,proteins,kinetic theory,combustion,chemicals,computational geometry
Power diagram,Open problem,Centroidal Voronoi tessellation,Computational geometry,Voronoi diagram,Weighted Voronoi diagram,Geometry,Hyperboloid,Mathematics,Voronoi deformation density
Conference
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Nikolai Medvedev101.01
V. P. Voloshin2253.31