Title
Good approximations for the relative neighbourhood graph
Abstract
The Urquhart graph of a set of points in the plane is obtainedby removing the longest edge from each trianglein the Delaunay triangulation. We show experimentalevidence that the Urquhart graph is a good approximationfor the relative neighbourhood graph in the sensethat it contains few additional edges. For random samples,the Urquhart graph is typically only about 2%larger than the relative neighbourhood graph, and thusmay serve equally well for computational morphologytasks.1
Year
Venue
Keywords
2001
CCCG
delaunay triangulation,random sampling
Field
DocType
Citations 
Discrete mathematics,Combinatorics,Minimum-weight triangulation,Beta skeleton,Bowyer–Watson algorithm,Computer science,Neighbourhood (mathematics),Constrained Delaunay triangulation,Point set triangulation,Delaunay triangulation,Pitteway triangulation
Conference
4
PageRank 
References 
Authors
0.64
1
2
Name
Order
Citations
PageRank
Diogo Vieira Andrade140.64
Luiz Henrique de Figueiredo262962.99