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A semidynamic construction of higher-order voronoi diagrams and its randomized analysis

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/bf01758770openalex-snapshot
Randomized incremental construction of Delaunay and Voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187749openalex-snapshot
A linear-time algorithm for computing the voronoi diagram of a convex polygon
inferredcites →https://doi.org/10.1007/bf02187879openalex-snapshot
New applications of random sampling in computational geometry
inferredcites →https://doi.org/10.1007/bf02293035openalex-snapshot
Applications of random sampling to on-line algorithms in computational geometry
inferredcites →https://doi.org/10.1007/bf02574686openalex-snapshot
On the construction of abstract voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02574692openalex-snapshot
On levels in arrangements and voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02574694openalex-snapshot
Higher-dimensional voronoi diagrams in linear expected time
inferredcites →https://doi.org/10.1016/0304-3975(93)90024-nopenalex-snapshot
On the randomized construction of the Delaunay tree
inferredcites →https://doi.org/10.1093/comjnl/21.2.168openalex-snapshot
Computing Dirichlet Tessellations in the Plane
inferredcites →https://doi.org/10.1109/ms.2024.3399277openalex-snapshot
IEEE Transactions on Computers
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1109/sfcs.1989.63540openalex-snapshot
On obstructions in relation to a fixed viewpoint
inferredcites →https://doi.org/10.1109/tc.1982.1676031openalex-snapshot
On k-Nearest Neighbor Voronoi Diagrams in the Plane
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1145/10515.10543openalex-snapshot
The hierarchical representation of objects: the Delaunay tree
inferredcites →https://doi.org/10.1145/323233.323263openalex-snapshot
An improved algorithm for constructing kth-order Voronoi diagrams
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II

What points at this work

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

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Selected topics from computational geometry, data structures and motion planning
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A Randomized Divide and Conquer Algorithm for Higher-Order Abstract Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_7openalex-snapshot
An Output-Sensitive Approach for the L 1/L ∞ k-Nearest-Neighbor Voronoi Diagram
inferred← citeshttps://doi.org/10.1007/978-3-642-31155-0_6openalex-snapshot
Higher Order City Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-642-35261-4_21openalex-snapshot
On Higher Order Voronoi Diagrams of Line Segments
inferred← citeshttps://doi.org/10.1007/bf01420732openalex-snapshot
Computer vision research at INRIA
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Fully dynamic delaunay triangulation in logarithmic expected time per operation
inferred← citeshttps://doi.org/10.1007/s00453-013-9809-9openalex-snapshot
The k-Nearest-Neighbor Voronoi Diagram Revisited
inferred← citeshttps://doi.org/10.1007/s00453-018-00536-7openalex-snapshot
An Efficient Randomized Algorithm for Higher-Order Abstract Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/s10898-024-01386-0openalex-snapshot
The edge labeling of higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1016/0304-3975(93)90024-nopenalex-snapshot
On the randomized construction of the Delaunay tree
inferred← citeshttps://doi.org/10.1016/0304-3975(95)00174-3openalex-snapshot
An introduction to randomization in computational geometry
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Higher order mobile coverage control with applications to clustering of discrete sets
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Surface reconstruction using bivariate simplex splines on Delaunay configurations
inferred← citeshttps://doi.org/10.1016/j.comgeo.2016.08.004openalex-snapshot
A randomized divide and conquer algorithm for higher-order abstract Voronoi diagrams
inferred← citeshttps://doi.org/10.1016/j.ipl.2013.07.023openalex-snapshot
Order-k α-hulls and α-shapes
inferred← citeshttps://doi.org/10.1016/j.physa.2021.126460openalex-snapshot
Degree distributions in AB random geometric graphs
inferred← citeshttps://doi.org/10.1016/j.pmcj.2007.11.001openalex-snapshot
Efficient data dissemination using locale covers
inferred← citeshttps://doi.org/10.1090/s0002-9947-07-03976-1openalex-snapshot
Delaunay configurations and multivariate splines: A generalization of a result of B. N. Delaunay
inferred← citeshttps://doi.org/10.1090/tran/2007-359-07openalex-snapshot
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Higher order Voronoi based mobile coverage control
inferred← citeshttps://doi.org/10.1109/geoinformatics.2011.5980668openalex-snapshot
Topology constrain for river dimension-reducing generalization in land-use map
inferred← citeshttps://doi.org/10.1109/icmtma.2015.10openalex-snapshot
A Faster Algorithm of Higher Order Voronoi Diagrams
inferred← citeshttps://doi.org/10.1109/tvcg.2011.156openalex-snapshot
Spherical DCB-Spline Surfaces with Hierarchical and Adaptive Knot Insertion
inferred← citeshttps://doi.org/10.1137/s0097539795281840openalex-snapshot
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
inferred← citeshttps://doi.org/10.1137/s0097539798349188openalex-snapshot
Random Sampling, Halfspace Range Reporting, and Construction of \lowercase$(\le k)$-Levels in Three Dimensions
inferred← citeshttps://doi.org/10.1142/s021819599200007xopenalex-snapshot
RANDOMIZATION YIELDS SIMPLE O(n log ⋆ n) ALGORITHMS FOR DIFFICULT Ω(n) PROBLEMS
inferred← citeshttps://doi.org/10.1145/109648.109664openalex-snapshot
A simple on-line randomized incremental algorithm for computing higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/1099554.1099608openalex-snapshot
Efficient data dissemination using locale covers
inferred← citeshttps://doi.org/10.1145/1247069.1247100openalex-snapshot
Quadratic and cubic b-splines by generalizing higher-order voronoi diagrams
inferred← citeshttps://doi.org/10.1145/177424.177521openalex-snapshot
Constructing levels in arrangements and higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/3381833openalex-snapshot
SMINT
inferred← citeshttps://doi.org/10.3390/ijgi12040172openalex-snapshot
Efficient Algorithm for Constructing Order K Voronoi Diagrams in Road Networks
inferred← citeshttps://doi.org/10.48550/arxiv.1204.4374openalex-snapshot
Higher Order City Voronoi Diagrams
inferred← citeshttps://doi.org/10.48550/arxiv.1703.02424openalex-snapshot
Higher order mobile coverage control with application to localization
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