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Geometric relations among Voronoi diagrams

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf00149360openalex-snapshot
Dirichletsche Zellenkomplexe mit maximaler Eckenzahl
inferredcites →https://doi.org/10.1007/bf00164401openalex-snapshot
Generalized Dirichlet tessellations
inferredcites →https://doi.org/10.1007/bf00181470openalex-snapshot
Recognizing Dirichlet tessellations
inferredcites →https://doi.org/10.1007/bf01840357openalex-snapshot
A sweepline algorithm for Voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02187681openalex-snapshot
Voronoi diagrams and arrangements
inferredcites →https://doi.org/10.1007/bf02187870openalex-snapshot
A criterion for the affine equivalence of cell complexes inR d and convex polyhedra inR d+1
inferredcites →https://doi.org/10.1007/bf02187890openalex-snapshot
AnO(n logn) algorithm for the voronoi diagram of a set of simple curve segments
inferredcites →https://doi.org/10.1016/0020-0190(86)90055-4openalex-snapshot
The one-dimensional weighted voronoi diagram
inferredcites →https://doi.org/10.1016/0031-3203(84)90064-5openalex-snapshot
An optimal algorithm for constructing the weighted voronoi diagram in the plane
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1112/s0025579300002850openalex-snapshot
The maximum numbers of faces of a convex polytope
inferredcites →https://doi.org/10.1137/0210006openalex-snapshot
Generalization of Voronoi Diagrams in the Plane
inferredcites →https://doi.org/10.1137/0214006openalex-snapshot
Voronoi Diagram in the Laguerre Geometry and Its Applications
inferredcites →https://doi.org/10.1137/0215022openalex-snapshot
Computing the Largest Empty Rectangle
inferredcites →https://doi.org/10.1137/0216006openalex-snapshot
Power Diagrams: Properties, Algorithms and Applications
inferredcites →https://doi.org/10.1145/12130.12172openalex-snapshot
Constructing higher-dimensional convex hulls at logarithmic cost per face
inferredcites →https://doi.org/10.1145/322217.322219openalex-snapshot
Two-Dimensional Voronoi Diagrams in the L p -Metric
inferredcites →https://doi.org/10.14288/1.0051821openalex-snapshot
A convex hull algorithm optimal for point sets in even dimensions

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/11559573_80openalex-snapshot
Three-Dimensional Structure Detection from Anisotropic Alpha-Shapes
inferred← citeshttps://doi.org/10.1007/11561071_34openalex-snapshot
Convex Hull and Voronoi Diagram of Additively Weighted Points
inferred← citeshttps://doi.org/10.1007/978-3-030-43408-3_8openalex-snapshot
Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally
inferred← citeshttps://doi.org/10.1007/978-3-540-33265-7_5openalex-snapshot
Skeletal Structures
inferred← citeshttps://doi.org/10.1007/b106657_6openalex-snapshot
Stability and Computation of Medial Axes - a State-of-the-Art Report
inferred← citeshttps://doi.org/10.1007/bf00147799openalex-snapshot
Linear combinations from power domains
inferred← citeshttps://doi.org/10.1007/pl00009366openalex-snapshot
Voronoi Diagrams in Higher Dimensions under Certain Polyhedral Distance Functions
inferred← citeshttps://doi.org/10.1007/s00454-010-9256-1openalex-snapshot
Bregman Voronoi Diagrams
inferred← citeshttps://doi.org/10.1016/b978-0-444-89596-7.50025-0openalex-snapshot
Geometric Algorithms
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50006-1openalex-snapshot
Voronoi Diagrams**Partially supported by the Deutsche Forschungsgemeinschaft, grant K1 655 2-2.
inferred← citeshttps://doi.org/10.1016/j.commatsci.2013.04.061openalex-snapshot
Effects of grain size distribution and stress heterogeneity on yield stress of polycrystals: A numerical approach
inferred← citeshttps://doi.org/10.1016/j.conbuildmat.2016.02.012openalex-snapshot
Nonlinear modeling and computational homogenization of asphalt concrete on the basis of XRCT scans
inferred← citeshttps://doi.org/10.1016/j.cpc.2004.06.066openalex-snapshot
Kinetic and dynamic Delaunay tetrahedralizations in three dimensions
inferred← citeshttps://doi.org/10.1016/j.gmod.2017.11.002openalex-snapshot
Spherical Laguerre Voronoi diagram approximation to tessellations without generators
inferred← citeshttps://doi.org/10.1016/j.str.2007.10.007openalex-snapshot
MOLE: A Voronoi Diagram-Based Explorer of Molecular Channels, Pores, and Tunnels
inferred← citeshttps://doi.org/10.1016/s0020-0190(99)00003-4openalex-snapshot
Computing the optimal bridge between two convex polygons
inferred← citeshttps://doi.org/10.1016/s0070-2153(07)81013-1openalex-snapshot
Delaunay-Object-Dynamics: Cell Mechanics with a 3D Kinetic and Dynamic Weighted Delaunay-Triangulation
inferred← citeshttps://doi.org/10.1039/d5cp00763aopenalex-snapshot
Evaluation of weighted Voronoi decompositions of physicochemical ensembles
inferred← citeshttps://doi.org/10.1109/icde60146.2024.00378openalex-snapshot
Preserving Topological Feature with Sign-of-Determinant Predicates in Lossy Compression: A Case Study of Vector Field Critical Points
inferred← citeshttps://doi.org/10.1109/isvd.2007.45openalex-snapshot
Voronoi Diagrams for Oriented Spheres
inferred← citeshttps://doi.org/10.1137/s0040585x97t989726openalex-snapshot
Weighted Poisson--Delaunay Mosaics
inferred← citeshttps://doi.org/10.1142/s0218195905001889openalex-snapshot
EXACT AND APPROXIMATION ALGORITHMS FOR FINDING AN OPTIMAL BRIDGE CONNECTING TWO SIMPLE POLYGONS
inferred← citeshttps://doi.org/10.1142/s0219467807002866openalex-snapshot
STRUCTURE DETECTION FROM A 3D SET OF POINTS WITH ANISOTROPIC ALPHA-SHAPES
inferred← citeshttps://doi.org/10.1145/100216.100260openalex-snapshot
Solving query-retrieval problems by compacting Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/116873.116880openalex-snapshot
Voronoi diagrams—a survey of a fundamental geometric data structure
inferred← citeshttps://doi.org/10.21236/ada230380openalex-snapshot
Results in Computational Geometry: Geometric Embeddings and Query- Retrieval Problems
inferred← citeshttps://doi.org/10.4213/tvp5196openalex-snapshot
Weighted Poisson-Delaunay mosaics
inferred← citeshttps://doi.org/10.4230/lipics.socg.2020.40openalex-snapshot
A Toroidal Maxwell-Cremona-Delaunay Correspondence
inferred← citeshttps://doi.org/10.48550/arxiv.1705.03911openalex-snapshot
Recognition of the Spherical Laguerre Voronoi Diagram
inferred← citeshttps://doi.org/10.48550/arxiv.1905.08443openalex-snapshot
The Geometry of Deep Networks: Power Diagram Subdivision
inferred← citeshttps://doi.org/10.5555/644108.644159openalex-snapshot
On the combinatorial complexity of euclidean Voronoi cells and convex hulls of d-dimensional spheres
inferred← citeshttps://doi.org/10.5821/dissertation-2117-95231openalex-snapshot
Skeletal representations of orthogonal shapes
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