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A compact piecewise-linear voronoi diagram for convex sites in the plane

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-52055-4openalex-snapshot
Concrete and Abstract Voronoi Diagrams
inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/978-3-642-62035-5openalex-snapshot
An Introduction to the Geometry of Numbers
inferredcites →https://doi.org/10.1007/bf01758770openalex-snapshot
Randomized incremental construction of Delaunay and Voronoi diagrams
inferredcites →https://doi.org/10.1007/bf01759040openalex-snapshot
Moving a disc between polygons
inferredcites →https://doi.org/10.1007/bf01840357openalex-snapshot
A sweepline algorithm for Voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02187867openalex-snapshot
Planning a purely translational motion for a convex object in two-dimensional space using generalized Voronoi diagrams
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/10.1007/bf02187909openalex-snapshot
Simplified Voronoi diagrams
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/10.1016/0196-6774(85)90021-5openalex-snapshot
A “retraction” method for planning the motion of a disc
inferredcites →https://doi.org/10.1016/0196-6774(85)90039-2openalex-snapshot
Computing the extreme distances between two convex polygons
inferredcites →https://doi.org/10.1016/0304-3975(93)90024-nopenalex-snapshot
On the randomized construction of the Delaunay tree
inferredcites →https://doi.org/10.1016/0925-7721(92)90025-nopenalex-snapshot
Fully dynamic delaunay triangulation in logarithmic expected time per operation
inferredcites →https://doi.org/10.1016/0925-7721(93)90033-3openalex-snapshot
Randomized incremental construction of abstract Voronoi diagrams
inferredcites →https://doi.org/10.1109/5.163412openalex-snapshot
Construction of the Voronoi diagram for 'one million' generators in single-precision arithmetic
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1109/sfcs.1979.15openalex-snapshot
Efficient computation of continuous skeletons
inferredcites →https://doi.org/10.1137/0212002openalex-snapshot
Optimal Search in Planar Subdivisions
inferredcites →https://doi.org/10.1137/0215023openalex-snapshot
Optimal Point Location in a Monotone Subdivision
inferredcites →https://doi.org/10.1142/s0218195999000054openalex-snapshot
COMPUTING CONSTRAINED SHORTEST SEGMENTS: BUTTERFLY WINGSPANS IN LOGARITHMIC TIME
inferredcites →https://doi.org/10.1145/10515.10543openalex-snapshot
The hierarchical representation of objects: the Delaunay tree
inferredcites →https://doi.org/10.1145/116873.116880openalex-snapshot
Voronoi diagrams—a survey of a fundamental geometric data structure
inferredcites →https://doi.org/10.1145/160985.161009openalex-snapshot
Tentative prune-and-search for computing Voronoi vertices
inferredcites →https://doi.org/10.1145/167088.167224openalex-snapshot
Piecewise linear paths among convex obstacles
inferredcites →https://doi.org/10.1145/323233.323264openalex-snapshot
Voronoi diagrams based on convex distance functions
inferredcites →https://doi.org/10.1145/41958.41974openalex-snapshot
Simplified Voronoi diagrams
inferredcites →https://doi.org/10.1145/6138.6151openalex-snapshot
Planar point location using persistent search trees
inferredcites →https://doi.org/10.1145/800061.808735openalex-snapshot
Lower bounds for algebraic computation trees
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.
inferredcites →https://doi.org/10.3233/fi-1995-2243openalex-snapshot
TENTATIVE PRUNE-AND-SEARCH FOR COMPUTING FIXED-POINTS WITH APPLICATIONS TO GEOMETRIC COMPUTATION

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jcph.1999.6194openalex-snapshot
Semi-Lagrangian Methods for Level Set Equations
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Tree Methods for Moving Interfaces
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Fast Tree-Based Redistancing for Level Set Computations
inferred← citeshttps://doi.org/10.1007/3-540-44985-x_30openalex-snapshot
Compact Voronoi Diagrams for Moving Convex Polygons
inferred← citeshttps://doi.org/10.1007/3-540-47738-1_21openalex-snapshot
Separation Sensitive Kinetic Separation Structures for Convex Polygons
inferred← citeshttps://doi.org/10.1007/3-540-48447-7_8openalex-snapshot
Optimizing Constrained Offset and Scaled Polygonal Annuli
inferred← citeshttps://doi.org/10.1007/3-540-61332-3_144openalex-snapshot
Straight skeletons for general polygonal figures in the plane
inferred← citeshttps://doi.org/10.1007/3-540-63307-3_60openalex-snapshot
Voronoi diagrams for polygon-offset distance functions
inferred← citeshttps://doi.org/10.1007/978-3-030-24766-9_12openalex-snapshot
On the Minimum Consistent Subset Problem
inferred← citeshttps://doi.org/10.1007/978-3-030-55973-1_53openalex-snapshot
Set Voronoi Tessellation for Particulate Systems in Two Dimensions
inferred← citeshttps://doi.org/10.1007/978-3-319-53007-9_3openalex-snapshot
Voronoi Diagram for Convex Polygonal Sites with Convex Polygon-Offset Distance Function
inferred← citeshttps://doi.org/10.1007/978-3-319-53925-6_22openalex-snapshot
Gathering Asynchronous Robots in the Presence of Obstacles
inferred← citeshttps://doi.org/10.1007/978-3-319-94776-1_12openalex-snapshot
Computing Convex-Straight-Skeleton Voronoi Diagrams for Segments and Convex Polygons
inferred← citeshttps://doi.org/10.1007/978-3-540-39658-1_32openalex-snapshot
The Voronoi Diagram of Planar Convex Objects
inferred← citeshttps://doi.org/10.1007/978-3-540-85126-4_13openalex-snapshot
Robust Point-Location in Generalized Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-642-11440-3_8openalex-snapshot
Computation of Non-dominated Points Using Compact Voronoi Diagrams
inferred← citeshttps://doi.org/10.1007/978-3-642-54423-1_9openalex-snapshot
A Randomized Incremental Approach for the Hausdorff Voronoi Diagram of Non-crossing Clusters
inferred← citeshttps://doi.org/10.1007/bfb0054355openalex-snapshot
An optimal algorithm for computing visible nearest foreign neighbors among colored line segments
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Finding the Medial Axis of a Simple Polygon in Linear Time
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Raising Roofs, Crashing Cycles, and Playing Pool: Applications of a Data Structure for Finding Pairwise Interactions
inferred← citeshttps://doi.org/10.1007/s00453-016-0118-yopenalex-snapshot
A Randomized Incremental Algorithm for the Hausdorff Voronoi Diagram of Non-crossing Clusters
inferred← citeshttps://doi.org/10.1007/s00453-021-00824-9openalex-snapshot
Convex-Straight-Skeleton Voronoi Diagrams for Segments and Convex Polygons
inferred← citeshttps://doi.org/10.1007/s004540010081openalex-snapshot
Voronoi diagrams for convex polygon-offset distance functions
inferred← citeshttps://doi.org/10.1007/s10878-020-00691-0openalex-snapshot
Optimal conditions for connectedness of discretized sets
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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Abstract Voronoi diagrams revisited
inferred← citeshttps://doi.org/10.1016/j.comgeo.2010.04.004openalex-snapshot
Divide-and-conquer for Voronoi diagrams revisited
inferred← citeshttps://doi.org/10.1016/j.comgeo.2020.101698openalex-snapshot
Computation of spatial skyline points
inferred← citeshttps://doi.org/10.1016/j.comgeo.2020.101744openalex-snapshot
Euclidean minimum spanning trees with independent and dependent geometric uncertainties
inferred← citeshttps://doi.org/10.1016/j.comgeo.2023.102021openalex-snapshot
Half-plane point retrieval queries with independent and dependent geometric uncertainties
inferred← citeshttps://doi.org/10.1016/j.ipl.2005.10.009openalex-snapshot
Robustness of k-gon Voronoi diagram construction
inferred← citeshttps://doi.org/10.1016/j.jda.2003.12.004openalex-snapshot
Optimizing a constrained convex polygonal annulus
inferred← citeshttps://doi.org/10.1016/s0377-2217(97)80001-xopenalex-snapshot
Locational optimization problems solved through Voronoi diagrams
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The geometry of minkowski spaces — A survey. Part II
inferred← citeshttps://doi.org/10.1016/s0925-7721(99)00055-3openalex-snapshot
Queries with segments in Voronoi diagrams
inferred← citeshttps://doi.org/10.1017/s0263574711001342openalex-snapshot
Vodec: A fast Voronoi algorithm for car-like robot path planning in dynamic scenarios
inferred← citeshttps://doi.org/10.1080/00038628.2024.2321584openalex-snapshot
D 4 G framework: a novel Voronoi diagram classification for decoding natural geometrics to enhance the built environment
inferred← citeshttps://doi.org/10.1088/1361-651x/ae0c25openalex-snapshot
Topological modeling of metallic foams
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Shortest path search using tiles and piecewise linear cost propagation
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Rule-Based Path Planning for Unmanned Aerial Vehicles in Non-Segregated Air Space over Congested Areas
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Robust Point-Location in Generalized Voronoi Diagrams
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On Sweep-plane Analysis of Laguerre Voronoi Diagram
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An Effective Algorithm for GVD Generation
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A Geometric Method for the Path Generation of a Robot
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Algorithm of 2D-Voronoi diagram construction with rectangular block
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KINETIC COLLISION DETECTION FOR SIMPLE POLYGONS
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THE PREDICATES FOR THE EXACT VORONOI DIAGRAM OF ELLIPSES UNDER THE EUCLIDIEAN METRIC
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Voronoi Diagram and Delaunay Triangulation with Independent and Dependent Geometric Uncertainties
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Faster Circle Packing with Application to Nonobtuse Triangulation
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The predicates for the Voronoi diagram of ellipses
inferred← citeshttps://doi.org/10.1145/1236246.1236266openalex-snapshot
A real-time and exact implementation of the predicates for the Voronoi diagram of parametric ellipses
inferred← citeshttps://doi.org/10.1145/1542362.1542401openalex-snapshot
Divide-and-conquer for Voronoi diagrams revisited
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Computing shortest paths among curved obstacles in the plane
inferred← citeshttps://doi.org/10.1145/2493132.2462377openalex-snapshot
Computing shortest paths among curved obstacles in the plane
inferred← citeshttps://doi.org/10.1145/2660771openalex-snapshot
Computing Shortest Paths among Curved Obstacles in the Plane
inferred← citeshttps://doi.org/10.1145/276884.276891openalex-snapshot
Raising roofs, crashing cycles, and playing pool
inferred← citeshttps://doi.org/10.1145/336154.336219openalex-snapshot
Kinetic collision detection for simple polygons
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Efficient collision checking in sampling-based motion planning via safety certificates
inferred← citeshttps://doi.org/10.15837/ijccc.2014.4.31openalex-snapshot
A Method to Construct Approximate Fuzzy Voronoi Diagram for Fuzzy Numbers of Dimension Two
inferred← citeshttps://doi.org/10.3233/ifs-130811openalex-snapshot
Fuzzy Voronoi diagram for disjoint fuzzy numbers of dimension two
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Randomized incremental construction of the Hausdorff Voronoi diagram of non-crossing clusters
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Skeletal representations of orthogonal shapes
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