Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492)

Alpers, Andreas; Bourne, David P.; Poulsen, Henning F.; Redenbach, Claudia

doi:10.4230/DagRep.15.11.157

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Generalized Voronoi Diagrams and Applications (Dagstuhl Seminar 25492)

Authors Andreas Alpers, David P. Bourne, Henning F. Poulsen, Claudia Redenbach and all authors of the abstracts in this report

Part of: Issue: Dagstuhl Reports, Volume 15, Issue 11
Part of: Volume: Dagstuhl Reports, Volume 15
Part of: Journal: Dagstuhl Reports (DagRep)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2026-07-28

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DagRep.15.11.157.pdf

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Document Identifiers

DOI: 10.4230/DagRep.15.11.157
URN: urn:nbn:de:0030-drops-274908

Subject Classification

ACM Subject Classification

Applied computing → Physical sciences and engineering
Theory of computation → Computational geometry
Applied computing → Mathematics and statistics

Keywords

Laguerre tessellation
generalized balanced power diagram
anisotropic Voronoi diagram
cellular materials
grains
polycrystals

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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.

Cite As Get BibTex

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) https://doi.org/10.4230/DagRep.15.11.157

Author Details

Andreas Alpers

University of Liverpool, GB

David P. Bourne

Heriot-Watt University - Edinburgh, GB

Henning F. Poulsen

Technical University of Denmark - Lyngby, DK

Claudia Redenbach

RPTU Kaiserslautern-Landau, DE

and all authors of the abstracts in this report

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