Title
Computing the link center of a simple polygon
Abstract
The link center of a simple polygon P is the set of points x inside P at which the maximal link-distance from x to any other point in P is minimized, where the link distance between two points x, y inside P is defined as the smallest number of straight edges in a polygonal path inside P connecting x to y. We prove several geometric properties of the link center and present an algorithm that calculates this set in time &Ogr; (n2), where n is the number of sides of P. We also give an &Ogr;(n log n) algorithm for finding a point x in an approximate link center, namely the maximal link distance from x to any point in P is at most one more than the value attained from the link center.
Year
DOI
Venue
1987
10.1007/BF02187913
Discrete & Computational Geometry - ACM Symposium on Computational Geometry, Waterloo
Keywords
DocType
Volume
Simple Polygon,Link Distance,Geodesic Path,Link Center,Polygonal Path
Conference
3
Issue
ISSN
Citations 
3
0179-5376
36
PageRank 
References 
Authors
3.48
9
5
Name
Order
Citations
PageRank
william lenhart1393.89
Richard Pollack2912203.75
j r sack3363.48
Raimund Seidel422735.47
Micha Sharir584051183.84