Name
Abstract | ||
|---|---|---|
The β-shape and the β-complex are recently announced geometric constructs which facilitate efficient reasoning about the proximity among spherical particles in three-dimensional space. They have proven to be very useful for the structural analysis of bio-molecules such as proteins. Being non-manifold, however, the topology traversal on the boundary of the β-shape is inconvenient for reasoning about the surface structure of a sphere set. In this paper, we present an algorithm to transform a β-shape from being non-manifold to manifold without altering any of the geometric characteristics of the model. After locating the simplexes where the non-manifoldness is defined on the β-shape, the algorithm augments the β-complex which corresponds to the β-shape so that all the non-manifoldness is resolved on such simplexes. The algorithm runs in O(n) time, without any floating-point operation, in the worst case for protein models where n is the number of spherical atoms. We also provide some experimental results obtained from real protein models available from the Protein Data Bank. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cad.2009.12.005 | Computer-Aided Design |
Keywords | DocType | Volume |
β-shape,β-complex,Voronoi diagram of spheres,Quasi-triangulation,Topology,Mesh,Non-manifold,Protein structure | Journal | 42 |
Issue | ISSN | Citations |
4 | 0010-4485 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Deok-Soo Kim | 1 | 633 | 59.12 |
| Changhee Lee | 2 | 19 | 6.81 |
| Youngsong Cho | 3 | 250 | 22.15 |
| Donguk Kim | 4 | 296 | 26.68 |