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Event Entry

What and Who

SIG-CG: "A simple checker for the Voronoi diagram of line segments"

Christoph Burnikel
MPI
SIG Meeting
AG 1, AG 2  
AG Audience
English

Date, Time and Location

Thursday, 4 March 99
13:30
30 Minutes
46.1
007
Saarbrücken

Abstract

How can we verify that a graph returned by a program

is indeed the correct Voronoi diagram of line segments?
Here the challenge is to write a checking procedure that
is very simple to implement but cannot be fooled by
any incorrect candidate graph. In this talk I present
such a Voronoi checker that needs only linear time.

The most interesting part of the checker is to show the
planarity of the alleged embedding. Here the key quantity
is the winding number of a face cycle in the candidate
graph. Our techniques can be generalized to every type
of diagram where the faces are convex or star-shaped.

Contact

Christoph Burnikel
0681-9325-126
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Tags, Category, Keywords and additional notes

Computational geometry