Name
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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.cad.2012.03.005 | Computer-Aided Design |
Keywords | Field | DocType |
molecular structure,precise proximity,anomaly theory,complicated application problem,spherical ball,spherical atom,powerful tool,difficult shape-related problem,molecular biology,efficient representation,simplexes,simplicial complex | Mathematical optimization,Molecule,Ball (bearing),Atoms in molecules,Simplex,Simplicial complex,Quasi-triangulation,Geometry,Classical mechanics,Mathematics,Geometry and topology | Journal |
Volume | Issue | ISSN |
45 | 1 | 0010-4485 |
Citations | PageRank | References |
6 | 0.46 | 15 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Deok-Soo Kim | 1 | 633 | 59.12 |
| Youngsong Cho | 2 | 250 | 22.15 |
| Joonghyun Ryu | 3 | 148 | 14.39 |
| Jaekwan Kim | 4 | 55 | 5.70 |
| Donguk Kim | 5 | 296 | 26.68 |