Configuration spaces and limits of voronoi diagrams

Roderik Lindenbergh; Wilberd van der Kallen; Dirk Siersma

Banach Center Publications (2003)

  • Volume: 62, Issue: 1, page 183-195
  • ISSN: 0137-6934

Abstract

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The Voronoi diagram of n distinct generating points divides the plane into cells, each of which consists of points most close to one particular generator. After introducing 'limit Voronoi diagrams' by analyzing diagrams of moving and coinciding points, we define compactifications of the configuration space of n distinct, labeled points. On elements of these compactifications we define Voronoi diagrams.

How to cite

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Roderik Lindenbergh, Wilberd van der Kallen, and Dirk Siersma. "Configuration spaces and limits of voronoi diagrams." Banach Center Publications 62.1 (2003): 183-195. <http://eudml.org/doc/281727>.

@article{RoderikLindenbergh2003,
abstract = {The Voronoi diagram of n distinct generating points divides the plane into cells, each of which consists of points most close to one particular generator. After introducing 'limit Voronoi diagrams' by analyzing diagrams of moving and coinciding points, we define compactifications of the configuration space of n distinct, labeled points. On elements of these compactifications we define Voronoi diagrams.},
author = {Roderik Lindenbergh, Wilberd van der Kallen, Dirk Siersma},
journal = {Banach Center Publications},
keywords = {configuration space of points; compactification},
language = {eng},
number = {1},
pages = {183-195},
title = {Configuration spaces and limits of voronoi diagrams},
url = {http://eudml.org/doc/281727},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Roderik Lindenbergh
AU - Wilberd van der Kallen
AU - Dirk Siersma
TI - Configuration spaces and limits of voronoi diagrams
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 183
EP - 195
AB - The Voronoi diagram of n distinct generating points divides the plane into cells, each of which consists of points most close to one particular generator. After introducing 'limit Voronoi diagrams' by analyzing diagrams of moving and coinciding points, we define compactifications of the configuration space of n distinct, labeled points. On elements of these compactifications we define Voronoi diagrams.
LA - eng
KW - configuration space of points; compactification
UR - http://eudml.org/doc/281727
ER -

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