DocumentCode
2892320
Title
A quadratic time algorithm for the minmax length triangulation
Author
Edelsbruneer, H. ; Tan, Tiow Seng
Author_Institution
Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA
fYear
1991
fDate
1-4 Oct 1991
Firstpage
414
Lastpage
423
Abstract
It is shown that a triangulation of a set of n points in the plane that minimizes the maximum edge length can be computed in time O (n 2). The algorithm is reasonably easy to implement and is based on the theorem that there is a triangulation with minmax edge length that contains the relative neighborhood graph of the points as a subgraph. With minor modifications the algorithm works for arbitrary normed metrics
Keywords
computational geometry; minimax techniques; arbitrary normed metrics; maximum edge length; minmax length triangulation; quadratic time algorithm; relative neighborhood graph; triangulation; Approximation algorithms; Computer science; Minimax techniques; Polynomials; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Foundations of Computer Science, 1991. Proceedings., 32nd Annual Symposium on
Conference_Location
San Juan
Print_ISBN
0-8186-2445-0
Type
conf
DOI
10.1109/SFCS.1991.185400
Filename
185400
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