 
Summary: Dynamic WellSpaced Point Sets
Umut A. Acar
MaxPlanck Institute for
Software Systems
umut@mpisws.org
Andrew Cotter Benoît Hudson
Toyota Technological Institute
at Chicago
{cotter,bhudson}@ttic.org
Duru Türkoglu
Dept. of Computer Science
University of Chicago
duru@cs.uchicago.edu
ABSTRACT
In a wellspaced point set the Voronoi cells all have bounded
aspect ratio, i.e., the distance from the Voronoi site to the
farthest point in the Voronoi cell divided by the distance
to the nearest neighbor in the set is bounded by a small
constant. Wellspaced point sets satisfy some important ge
ometric properties and yield quality Voronoi or simplicial
