Application of the theory of optimal set partitioning for constructing fuzzy Voronoi diagrams

DOI10.1007/978-3-030-94910-5_15OpenAlexW4221124043MaRDI QIDQ2086403

Liudmyla Hart, Olga Prytomanova, Elena Kiseleva, Oleg Blyuss

Publication date: 25 October 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-94910-5_15

zbMATH Keywords

nondifferentiable optimizationShor's \(r\)-algorithmoptimal set partitioningfuzzy Voronoi diagramgenerating points

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Cites Work

• Unnamed Item
• The Zermelo-Voronoi diagram: a dynamic partition problem
• Randomized incremental construction of abstract Voronoi diagrams
• Theory of continuous optimal set partitioning problems as a universal mathematical formalism for constructing Voronoi diagrams and their generalizations. II: Algorithms for constructing Voronoi diagrams based on the theory of optimal set partitioning
• Theory of continuous optimal set partitioning problems as a universal mathematical formalism for constructing Voronoi diagrams and their generalizations. I. Theoretical foundations
• Uncertain Voronoi diagram
• Concrete and abstract Voronoi diagrams
• A geometrical solution for quadratic bicriteria location models
• Nondifferentiable optimization and polynomial problems
• Shor's \(r\)-algorithms: theory and practice
• Analysis of algorithms for a class of continuous partition problems
• Formalizing spatial configuration optimization problems with the use of a special function class
• Voronoi Diagrams and Delaunay Triangulations
• Multiple packing and covering of spheres
• Generalization of Voronoi Diagrams in the Plane
• Fuzzy sets

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