Paper Info
Title
BetaConcept: A Program for Voronoi Diagrams, Dual Structures, and Complexes in the Plane.
Abstract
Voronoi diagrams are powerful for solving spatial problems among particles with different sizes. In particular, the Voronoi diagram of spheres, also called the additively-weighted Voronoi diagram, has proven its powerful capability for solving molecular biology/material science problems in an unified framework. Beta-complex is a generalization of (weighted) alpha-complex and they share similarities and dissimilarities. This paper presents the BetaConcept program which facilitates easy understanding of the powerful capability of the Voronoi diagram, its dual structure, and the beta-complex in the plane. BetaConcept is a Windows program with a graphic user interface written in the standard C++ language and is freely available at the Voronoi Diagram Research Center (http://voronoi.hanyang.ac.kr).
Year
DOI
Venue
2014
10.1109/ICCSA.2014.53
ICCSA (Workshops/Short Papers/Posters)
Keywords
Field
DocType
color,generators,shape,proteins
Power diagram,Mathematical optimization,Combinatorics,Bowyer–Watson algorithm,Centroidal Voronoi tessellation,Computer science,Mathematical diagram,Theoretical computer science,Lloyd's algorithm,Graphical user interface,Voronoi diagram,Weighted Voronoi diagram
Conference
Citations 
PageRank 
References 
0
0.34
14
Authors
7
Name
Order
Citations
PageRank
Jae-Kwan Kim110.70
Youngsong Cho225022.15
Mokwon Lee3114.55
Jehyun Cha453.15
Chanyoung Song532.78
Deok-Soo Kim663359.12
Donguk Kim729626.68