Searching simplexes in quasi-triangulation

  • Kim, Deok-Soo
  • Kim, Jae-Kwan
  • Kim, Chong-Min
Citations

SCOPUS

1

초록

Given a quasi-triangulation of a molecule, searching the simplexes of a particular bounding state for the spherical probe of a given radius occurs frequently. While such simplexes can be found by linearly scanning all simplexes in the quasi-triangulation, it is desirable to do the search faster. This paper presents an algorithm for searching simplexes quickly using the fed-tree data structure. The approach is based on the transformation of the simplex search problem in the R3 space to the orthogonal range search problem of points in another R3 space.

키워드

Beta-complexBeta-shapeOrthogonal range searchParticle proximityQuasi-triangulationSimplex searchVoronoi diagram of spheresBeta-complexBeta-shapeOrthogonal range searchParticle proximityQuasi-triangulationSimplex searchVoronoi diagramsComputational geometryData structuresGraphic methodsProbesSpheresTrees (mathematics)Triangulation
제목
Searching simplexes in quasi-triangulation
저자
Kim, Deok-SooKim, Jae-KwanKim, Chong-Min
DOI
10.1109/ISVD.2010.34
발행일
2010-07
유형
Conference Paper
저널명
ISVD 2010 - 7th International Symposium on Voronoi Diagrams in Science and Engineering
페이지
105 ~ 111