Voronoi diagrams for parallel halflines in 3D

F. Aurenhammer, G. Paulini, B. Jüttler

Research output: Chapter in Book/Report/Conference proceedingConference paperpeer-review

Abstract

We consider the Euclidean Voronoi diagram for a set of n parallel halflines in 3-space. A relation of this diagram to planar power diagrams is shown, and is used to analyze its geometric and topological properties. Moreover, a simple plane-sweep algorithm is given that computes the Voronoi diagram for parallel halflines at logarithmic cost per face.
Original languageEnglish
Title of host publicationProc. 32nd European Workshop on Computational Geometry (EuroCG 2016)
Place of PublicationLugano, Switzerland
Pages127-130
Publication statusPublished - 2016
Event32th European Workshop on Computational Geometry: EuroCG 2016 - Lugano, Switzerland
Duration: 29 Mar 20161 Apr 2016

Conference

Conference32th European Workshop on Computational Geometry
Abbreviated titleEuroCG 2016
Country/TerritorySwitzerland
CityLugano
Period29/03/161/04/16

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