Bregman Voronoi diagrams
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Publication:5962350
DOI10.1007/s00454-010-9256-1zbMath1201.52020arXiv0709.2196OpenAlexW2075057405WikidataQ29544854 ScholiaQ29544854MaRDI QIDQ5962350
Frank Nielsen, Jean-Daniel Boissonnat, Richard Nock
Publication date: 22 September 2010
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.2196
Voronoi diagramDelaunay triangulationLegendre transformationBregman ballBregman divergencecomputational information geometry
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Cites Work
- A weak characterisation of the Delaunay triangulation
- Hitting sets when the VC-dimension is small
- Geometric relations among Voronoi diagrams
- Why least squares and maximum entropy? An axiomatic approach to inference for linear inverse problems
- Concrete and abstract Voronoi diagrams
- An optimal convex hull algorithm in any fixed dimension
- Optimality of the Delaunay triangulation in \(\mathbb{R}^ d\)
- Applications of random sampling in computational geometry. II
- Almost optimal set covers in finite VC-dimension
- Visualizing hyperbolic Voronoi diagrams
- Power Diagrams: Properties, Algorithms and Applications
- Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
- Convex Analysis
- The maximum numbers of faces of a convex polytope
- Manifold reconstruction in arbitrary dimensions using witness complexes
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