Uncertain Voronoi diagram

DOI10.1016/j.ipl.2009.03.007zbMath1209.68585OpenAlexW2165977102MaRDI QIDQ989461

Maryam Mirzakhah, Ali Mohades, Mohammadreza Jooyandeh

Publication date: 20 August 2010

Published in: Information Processing Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ipl.2009.03.007

zbMATH Keywords

fuzzy setVoronoi diagramcomputational geometryfuzzy geometryfuzzy Voronoi diagram

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (11)

Voronoi Diagram and Delaunay Triangulation with Independent and Dependent Geometric Uncertainties ⋮ Analytical fuzzy plane geometry. III ⋮ Nearest-neighbor searching under uncertainty. I ⋮ Theory of continuous optimal set partitioning problems as a universal mathematical formalism for constructing Voronoi diagrams and their generalizations. I. Theoretical foundations ⋮ Analytical fuzzy space geometry. I ⋮ Half-plane point retrieval queries with independent and dependent geometric uncertainties ⋮ On the stability of Voronoi cells ⋮ Self-triggered coordination of robotic networks for optimal deployment ⋮ Network Voronoi diagram on uncertain objects for nearest neighbor queries ⋮ Image-guided Voronoi aesthetic patterns with an uncertainty algorithm based on cloud model ⋮ Application of the theory of optimal set partitioning for constructing fuzzy Voronoi diagrams

Uses Software

• Mathematica

Cites Work

• A sweepline algorithm for Voronoi diagrams
• Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry

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