Title
Searching Simplexes in Quasi-triangulation
Abstract
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 kd-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.
Year
DOI
Venue
2010
10.1109/ISVD.2010.34
ISVD
Keywords
Field
DocType
simplex search,orthogonal range search problem,beta-complex,kd-tree data structure,tree data structures,beta-shape,spherical probe,tree data structure,search problems,quasi-triangulation,searching simplexes,quasi triangulation,simplex search problem,voronoi diagram of spheres,computational modeling,voronoi diagram,visualization,data structure,industrial engineering,proteins,bound states,kd tree,data structures,shape
Data structure,Combinatorics,Tree (data structure),Simplex,Search problem,Quasi-triangulation,Mathematics,Bounding overwatch
Conference
ISBN
Citations 
PageRank 
978-1-4244-7605-3
1
0.37
References 
Authors
3
3
Name
Order
Citations
PageRank
Deok-Soo Kim163359.12
Jaekwan Kim2555.70
Chong-Min Kim320.73