Parallel voronoi diagram in L1 (L∞) metric on a mesh-connected computer

Chang Sung Jeong

doi:10.1016/S0167-8191(05)80109-7

Parallel voronoi diagram in L₁ (L_∞) metric on a mesh-connected computer

Chang Sung Jeong

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper, we consider the problem of constructing a Voronoi diagram in L₁(L_∞) metric for a set of n points in the Cartesian plane on a mesh-connected computer. An O(√n) parallel algorithm on a √n × √n mesh-connected computer is given for solving that problem. This is the first solution on a √n × √n MCC to achieve an asymptotically optimal θ(√n) running time for L₁(L_∞) metric.

Original language	English
Pages (from-to)	241-252
Number of pages	12
Journal	Parallel Computing
Volume	17
Issue number	2-3
DOIs	https://doi.org/10.1016/S0167-8191(05)80109-7
Publication status	Published - 1991 Jun
Externally published	Yes

Keywords

Parallel algorithm
Voronoi diagram
mesh-connected computer

ASJC Scopus subject areas

Software
Theoretical Computer Science
Hardware and Architecture
Computer Networks and Communications
Computer Graphics and Computer-Aided Design
Artificial Intelligence

Access to Document

10.1016/S0167-8191(05)80109-7

Cite this

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