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Anomalies in quasi-triangulations and beta-complexes of spherical atoms in molecules

Title
Anomalies in quasi-triangulations and beta-complexes of spherical atoms in molecules
Author
김재관
Keywords
Voronoi diagram of spheres; Quasi-triangulation; Van der Waals region; Simplexes; Bounding state; Simplicial complex; Union of spheres; Union of disks; VORONOI-DIAGRAM; CIRCLE SET; POINT SET; SURFACES; BALLS
Issue Date
2013-01
Publisher
Elsevier Science B.V., Amsterdam.
Citation
Computer-aided multi-scale materials and product design, Computer-Aided Design January 2013, 45(1), p.35-52
Abstract
The beta-complex is the most compact and efficient representation of molecular structure as it stores the precise proximity among spherical atoms in molecules. Thus, the beta-complex is a powerful tool for solving otherwise difficult shape-related problems in molecular biology. However, to use the beta-complex properly, it is necessary to correctly understand the anomalies of both the quasi-triangulation and the beta-complex. In this paper, we present the details of the anomaly of the beta-complex in relation to the quasi-triangulation. With a proper understanding of anomaly theory, seemingly complicated application problems related to the geometry and topology among spherical balls can be correctly and efficiently solved in rather straightforward computational procedures. We present the theory with examples in both R-2 and R-3. (C) 2012 Elsevier Ltd. All rights reserved.
URI
https://www.sciencedirect.com/science/article/pii/S0010448512000577https://repository.hanyang.ac.kr/handle/20.500.11754/69669
ISSN
0010-4485
DOI
10.1016/j.cad.2012.03.005
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ETC[S] > 연구정보
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