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Delaunay triangulation and the convex hull ofn points in expected linear time

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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/bf00977785openalex-snapshot
Two algorithms for constructing a Delaunay triangulation
inferredcites →https://doi.org/10.1007/bf01934391openalex-snapshot
Improved planarity algorithms
inferredcites →https://doi.org/10.1007/bf01944471openalex-snapshot
A constant-time parallel algorithm for computing convex hulls
inferredcites →https://doi.org/10.1016/0020-0190(72)90045-2openalex-snapshot
An efficient algorith for determining the convex hull of a finite planar set
inferredcites →https://doi.org/10.1093/comjnl/21.2.168openalex-snapshot
Computing Dirichlet Tessellations in the Plane
inferredcites →https://doi.org/10.1093/comjnl/21.3.243openalex-snapshot
Locally equiangular triangulations
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1111/j.1538-4632.1979.tb00695.xopenalex-snapshot
A Procedure to Generate Thiessen Polygons
inferredcites →https://doi.org/10.1111/j.2517-6161.1977.tb01615.xopenalex-snapshot
Modelling Spatial Patterns
inferredcites →https://doi.org/10.1145/322217.322219openalex-snapshot
Two-Dimensional Voronoi Diagrams in the L p -Metric
inferredcites →https://doi.org/10.1145/355759.355766openalex-snapshot
A New Convex Hull Algorithm for Planar Sets
inferredcites →https://doi.org/10.1179/caj.1980.17.2.93openalex-snapshot
Delaunay Triangulation of a Random Data Set for Isarithmic Mapping

What points at this work

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

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Voronota: A fast and reliable tool for computing the vertices of the Voronoi diagram of atomic balls
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Localizing the Delaunay Triangulation and Its Parallel Implementation
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Terrain Modeling Using Voronoi Hierarchies
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Hierarchical Data Representations Based on Planar Voronoi Diagrams
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A Subspace Similarity-Based Data Clustering by Delaunay Triangulation
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AnO(n logn) plane-sweep algorithm forL 1 andL ∞ Delaunay triangulations
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A faster divide-and-conquer algorithm for constructing delaunay triangulations
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An efficient and numerically correct algorithm for the 2D convex hull problem
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Higher-dimensional voronoi diagrams in linear expected time
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A Note on Point Location in Delaunay Triangulations of Random Points
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A divide-and-conquer Delaunay triangulation algorithm with a vertex array and flip operations in two-dimensional space
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A straightforward iterative algorithm for the planar Voronoi diagram
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Fast Delaunay triangulation in three dimensions
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An ANSI C program to determine in expected linear time the vertices of the convex hull of a set of planar points
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Fast topological construction of delaunay triangulations and voronoi diagrams
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Assessing geometric algorithms: Some comments arising from the paper “Fast topological construction of Delaunay triangulations and Voronoi diagrams” by Victor J. D. Tsai
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Comments on two parallel algorithms for the planar convex hull problem
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Picture processing: 1984
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Mesh generation and adaptivity for complex geometries and flows
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.
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A faster circle-sweep Delaunay triangulation algorithm
inferred← citeshttps://doi.org/10.1016/j.advengsoft.2022.103129openalex-snapshot
An incremental algorithm for simultaneous construction of 2D Voronoi diagram and Delaunay triangulation based on a face-based data structure
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Parallel 3D Delaunay Triangulation on the GPU
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A model-based approach towards accelerated process development: A case study on chromatography
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DeWall: A fast divide and conquer Delaunay triangulation algorithm in Ed
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A probabilistic result on multi-dimensional Delaunay triangulations, and its application to the 2D case
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A comparison of sequential Delaunay triangulation algorithms
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Exact Computation of Delaunay and Power Triangulations
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Delaunay triangulations in TIN creation: an overview and a linear-time algorithm
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Percolation thresholds on two-dimensional Voronoi networks and Delaunay triangulations
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DELAUNAY PARTITIONING IN THREE DIMENSIONS AND SEMICONDUCTOR MODELS
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A bibliography on digital and computational convexity (1961-1988)
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Mixed element trees: a generalization of modified octrees for the generation of meshes for the simulation of complex 3-D semiconductor device structures
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Relative neighborhood graphs and their relatives
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Computational Cosmetic Quality Assessment of Human Hair in Low Magnifications
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An Optimum Convex Decomposition Algorithm of Simple Polygon Based on Its Adjacent Concave Vertex Connection
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Localizing the Delaunay Triangulation and its Parallel Implementation
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Concave-Hull Induced Graph-Gain for Fast and Robust Robotic Exploration
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Parallel 3D Delaunay Triangulation
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Voronoi cell analysis: The shapes of particle systems
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OFC-Delaunay triangulation: A new efficient algorithm for merging two adjacent Delaunay triangulations
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A simple divide-and-conquer algorithm for computing Delaunay triangulations in O(n log log n) expected time
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A comparison of sequential Delaunay triangulation algorithms
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Higher-dimensional Voronoi diagrams in linear expected time
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Efficient parallel algorithms for closest point problems.
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Introduction
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Intersection Tests
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Interval Analysis
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The SCCI-Hybrid Method for 2D-Curve Tracing
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Interval Versions of Bernstein Polynomials, Bézier Curves and the de Casteljau Algorithm
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Robust Computations of Selected Discrete Problems
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Bibliography
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Interval Newton Methods
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The Exact Sign of Sum Algorithm (ESSA)
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A Real-Time Algorithm for Convex Hull Construction and Delaunay Triangulation of Scattered Points Data
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