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
- Appears in Collections:
- ETC[S] > 연구정보
- Files in This Item:
There are no files associated with this item.
- Export
- RIS (EndNote)
- XLS (Excel)
- XML