Improving continuity of Voronoi-based interpolation over Delaunay spheres

DOI10.1016/S0925-7721(01)00052-9zbMath1016.68144OpenAlexW2041784273MaRDI QIDQ1602947

Hisamoto Hiyoshi, Kōkichi Sugihara

Publication date: 24 June 2002

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0925-7721(01)00052-9

zbMATH Keywords

Voronoi diagramDelaunay spheresVoronoi-based interpolants

Mathematics Subject Classification ID

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

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Uses Software

• Voronoi

Cites Work

• Surfaces over Dirichlet tessellations
• A relationship between Gale transforms and Voronoi diagrams
• Linear combinations from power domains
• Systems of coordinates associated with points scattered in the plane
• Surface interpolation based on new local coordinates.
• A vector identity for the Dirichlet tessellation
• Power Diagrams: Properties, Algorithms and Applications
• Smooth surface reconstruction via natural neighbour interpolation of distance functions
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