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Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492)

Authors: Andreas Alpers, David P. Bourne, Henning F. Poulsen, and Claudia Redenbach

Published in: Dagstuhl Reports, Volume 15, Issue 11 (2026)

Abstract

This report documents the program and the outcomes of Dagstuhl Seminar 25492 "Generalized Voronoi Diagrams and Applications", which was held from 30 November to 5 December 2025. The seminar brought together 28 scientists working on various aspects of generalized Voronoi diagrams such as efficient diagram computation, fitting diagrams to observed cell systems or using Voronoi diagrams to model material microstructure. The report contains the abstracts of the tutorials and presentations held during the seminar. It also contains a summary of the discussion sessions that were organized in smaller break-out groups.

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Andreas Alpers, David P. Bourne, Henning F. Poulsen, and Claudia Redenbach. Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492). In Dagstuhl Reports, Volume 15, Issue 11, pp. 157-178, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2026)

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@Article{alpers_et_al:DagRep.15.11.157,
  author =	{Alpers, Andreas and Bourne, David P. and Poulsen, Henning F. and Redenbach, Claudia},
  title =	{{Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492)}},
  pages =	{157--178},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2026},
  volume =	{15},
  number =	{11},
  editor =	{Alpers, Andreas and Bourne, David P. and Poulsen, Henning F. and Redenbach, Claudia},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.15.11.157},
  URN =		{urn:nbn:de:0030-drops-274908},
  doi =		{10.4230/DagRep.15.11.157},
  annote =	{Keywords: Laguerre tessellation, generalized balanced power diagram, anisotropic Voronoi diagram, cellular materials, grains, polycrystals}
}

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Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492)

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