"Constructing Voronoi diagrams in L(1) and L(infinity) metrics with two" by Jianan. Wang

Date of Award

1994

Publication Type

Master Thesis

Degree Name

M.Sc.

Department

Computer Science

Keywords

Computer Science.

Supervisor

Tsin, Y. H.,

Rights

info:eu-repo/semantics/openAccess

Abstract

A plane-sweep method without using transformation but using two sweeps is used to construct the Voronoi diagram in $L\sb1\ (L\sb\infty,$ respectively) metric of a set of n point sites in O(nlogn) time and O(n) space. The two sweeps advance from opposite directions and produce two symmetrical data structures called the Left-to-Right Shortest-Path-Map and Right-to-Left Shortest-Path-Map. The two maps are then tailored to produce the desired Voronoi diagram. Source: Masters Abstracts International, Volume: 34-02, page: 0796. Adviser: Y. H. Tsin. Thesis (M.Sc.)--University of Windsor (Canada), 1994.

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