A randomized algorithm for the Voronoi diagram of line segments on coarse-grained multiprocessors

被引：5

作者：

Deng, XT ^{[1
]}

Zhu, BH

机构：

[1] York Univ, Dept Comp Sci, N York, ON M3J 1P3, Canada

[2] City Univ Hong Kong, Dept Comp Sci, Kowloon, Peoples R China

[3] Los Alamos Natl Lab, Grp CIC3, Los Alamos, NM 87545 USA

来源：

ALGORITHMICA | 1999年 / 24卷 / 3-4期

关键词：

coarse-grained parallel algorithms; Voronoi diagram; computational geometry;

D O I：

10.1007/PL00008263

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present a randomized algorithm for computing the Voronoi diagram of line segments using coarse-grained parallel machines. Operating on P processors, for any input of n line segments, this algorithm performs O((n log n)/P) local operations per processor, O(n/P) messages per processor, and O(1) communication phases, with high probability for n = Omega (P3+epsilon).

引用

页码：270 / 286

页数：17

共 50 条

[1] A Randomized Algorithm for the Voronoi Diagram of Line Segments on Coarse-Grained Multiprocessors
Algorithmica, 1999, 24 : 270 - 286
[2] A randomized algorithm for Voronoi diagram of line segments on coarse grained multiprocessors
Deng, XT
Zhu, BH
10TH INTERNATIONAL PARALLEL PROCESSING SYMPOSIUM - PROCEEDINGS OF IPPS '96, 1996, : 192 - 198
[3] Optimal parallel randomized algorithms for the Voronoi diagram of line segments in the plane
Rajasekaran, S
Ramaswami, S
ALGORITHMICA, 2002, 33 (04) : 436 - 460
[4] Optimal Parallel Randomized Algorithms for the Voronoi Diagram of Line Segments in the Plane
Algorithmica, 2002, 33 : 436 - 460
[5] A parallel algorithm for finding the constrained Voronoi diagram of line segments in the plane
Chin, F
Lee, DT
Wang, CA
ALGORITHMS AND DATA STRUCTURES, 1999, 1663 : 231 - 240
[6] The Higher-Order Voronoi Diagram of Line Segments
Papadopoulou, Evanthia
Zavershynskyi, Maksym
ALGORITHMICA, 2016, 74 (01) : 415 - 439
[7] CONSTRUCTING THE VORONOI DIAGRAM OF A SET OF LINE SEGMENTS IN PARALLEL
GOODRICH, MT
ODUNLAING, C
YAP, CK
ALGORITHMICA, 1993, 9 (02) : 128 - 141
[8] CONSTRUCTING THE VORONOI DIAGRAM OF A SET OF LINE SEGMENTS IN PARALLEL
GOODRICH, MT
ODUNLAING, C
YAP, CK
LECTURE NOTES IN COMPUTER SCIENCE, 1989, 382 : 12 - 23
[9] The Higher-Order Voronoi Diagram of Line Segments
Evanthia Papadopoulou
Maksym Zavershynskyi
Algorithmica, 2016, 74 : 415 - 439
[10] A coarse grained parallel algorithm for Hausdorff Voronoi diagrams
Dehne, Frank
Maheshwari, Anil
Taylor, Ryan
2006 INTERNATIONAL CONFERENCE ON PARALLEL PROCESSING, PROCEEDINGS, 2006, : 497 - 504

← 1 2 3 4 5 →