A parallel algorithm based on convexity for the computing of Delaunay tessellation

被引：5
|
作者：
Phan Thanh An [1 ,2 ]
Le Hong Trang [1 ,3 ]
机构：
[1] Inst Super Tecn, Ctr Math & Its Applicat CEMAT, P-1049001 Lisbon, Portugal
[2] Inst Math, Hanoi 10307, Vietnam
[3] Vinh Univ, Fac Informat & Informat Technol, Vinh Town, Vietnam
来源：
NUMERICAL ALGORITHMS | 2012年 / 59卷 / 03期
关键词：
Geometric computing; Parallel method; Delaunay tessellation; Convex hull; Convexity; VORONOI DIAGRAMS;
D O I：
10.1007/s11075-011-9493-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper describes a parallel algorithm for computing an n-dimensional Delaunay tessellation using a divide-conquer strategy. Its implementation (using MPI library for C) in the case n = 2, relied on restricted areas to discard non-Delaunay edges, is executed easily on PC clusters. We shows that the convexity is a crucial factor of efficiency of the parallel implementation over the corresponding sequential one.
引用
收藏
页码：347 / 357
页数：11
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