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Computing the geodesic center of a simple polygon

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What this work says

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

inferredcites →https://doi.org/10.1002/net.3230140304openalex-snapshot
Euclidean shortest paths in the presence of rectilinear barriers
inferredcites →https://doi.org/10.1007/bf01840360openalex-snapshot
Linear-time algorithms for visibility and shortest path problems inside triangulated simple polygons
inferredcites →https://doi.org/10.1007/bf02187750openalex-snapshot
On the ball spanned by balls
inferredcites →https://doi.org/10.1016/0020-0190(78)90062-5openalex-snapshot
Triangulating a simple polygon
inferredcites →https://doi.org/10.1016/0020-0190(84)90014-0openalex-snapshot
An O(n) algorithm for the linear multiple choice knapsack problem and related problems
inferredcites →https://doi.org/10.1016/b978-0-12-386870-1.50010-1openalex-snapshot
Computing the Geodesic Center of a Simple Polygon
inferredcites →https://doi.org/10.1109/sfcs.1982.58openalex-snapshot
A theorem on polygon cutting with applications
inferredcites →https://doi.org/10.1109/sfcs.1982.74openalex-snapshot
Linear-time algorithms for linear programming in R3 and related problems
inferredcites →https://doi.org/10.1137/0212052openalex-snapshot
Linear-Time Algorithms for Linear Programming in $R^3 $ and Related Problems
inferredcites →https://doi.org/10.1137/0213003openalex-snapshot
Linear Time Algorithms for Two- and Three-Variable Linear Programs
inferredcites →https://doi.org/10.1137/0215052openalex-snapshot
On a Multidimensional Search Technique and Its Application to the Euclidean One-Centre Problem
inferredcites →https://doi.org/10.1137/0217010openalex-snapshot
An $O(n\log \log n)$-Time Algorithm for Triangulating a Simple Polygon
inferredcites →https://doi.org/10.1145/2157.322410openalex-snapshot
Applying Parallel Computation Algorithms in the Design of Serial Algorithms
inferredcites →https://doi.org/10.1145/2422.322418openalex-snapshot
Linear Programming in Linear Time When the Dimension Is Fixed
inferredcites →https://doi.org/10.1145/41958.41959openalex-snapshot
Computing the link center of a simple polygon

What points at this work

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

inferred← citeshttps://doi.org/10.1007/3-540-58218-5_30openalex-snapshot
Computing the L 1-diameter and center of a simple rectilinear polygon in parallel
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Most Vital Segment Barriers
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The Polygon Burning Problem
inferred← citeshttps://doi.org/10.1007/978-3-031-38906-1_13openalex-snapshot
Approximating the Smallest k-Enclosing Geodesic Disc in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-319-08783-2_21openalex-snapshot
Diffuse Reflection Radius in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-540-77120-3_57openalex-snapshot
Geodesic Disks and Clustering in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-642-15775-2_43openalex-snapshot
The Geodesic Diameter of Polygonal Domains
inferred← citeshttps://doi.org/10.1007/978-3-642-54423-1_11openalex-snapshot
Computing the L 1 Geodesic Diameter and Center of a Simple Polygon in Linear Time
inferred← citeshttps://doi.org/10.1007/978-3-642-83069-3_24openalex-snapshot
Computational Geometry: Recent Results Relevant to Pattern Recognition
inferred← citeshttps://doi.org/10.1007/978-3-662-48971-0_27openalex-snapshot
The 2-Center Problem in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-3-662-49529-2_48openalex-snapshot
Computing a Geodesic Two-Center of Points in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/978-94-009-3757-4_47openalex-snapshot
Computational Geometry and Morphology
inferred← citeshttps://doi.org/10.1007/bf01225680openalex-snapshot
Multiple-guard kernels of simple polygons
inferred← citeshttps://doi.org/10.1007/bf01553882openalex-snapshot
On the geodesic voronoi diagram of point sites in a simple polygon
inferred← citeshttps://doi.org/10.1007/bf02187750openalex-snapshot
On the ball spanned by balls
inferred← citeshttps://doi.org/10.1007/bf02189321openalex-snapshot
The furthest-site geodesic voronoi diagram
inferred← citeshttps://doi.org/10.1007/bf02247961openalex-snapshot
Computing the external geodesic diameter of a simple polygon
inferred← citeshttps://doi.org/10.1007/bf02293040openalex-snapshot
AnO(n logn) algorithm for computing the link center of a simple polygon
inferred← citeshttps://doi.org/10.1007/bfb0028271openalex-snapshot
Parametric search and locating supply centers in trees
inferred← citeshttps://doi.org/10.1007/bfb0028976openalex-snapshot
An O(n log n) algorithm for computing a link center in a simple polygon
inferred← citeshttps://doi.org/10.1007/s00453-015-0031-9openalex-snapshot
Diffuse Reflection Radius in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s00453-019-00651-zopenalex-snapshot
The Geodesic Farthest-Point Voronoi Diagram in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s00453-022-01041-8openalex-snapshot
Clique-Based Separators for Geometric Intersection Graphs
inferred← citeshttps://doi.org/10.1007/s00453-024-01245-0openalex-snapshot
Approximation Algorithms for the Two-Watchman Route in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s00453-024-01267-8openalex-snapshot
On Flipping the Fréchet Distance
inferred← citeshttps://doi.org/10.1007/s00454-013-9527-8openalex-snapshot
The Geodesic Diameter of Polygonal Domains
inferred← citeshttps://doi.org/10.1007/s00454-016-9796-0openalex-snapshot
A Linear-Time Algorithm for the Geodesic Center of a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s00454-016-9841-zopenalex-snapshot
Computing the $$L_1$$ Geodesic Diameter and Center of a Polygonal Domain
inferred← citeshttps://doi.org/10.1007/s00454-017-9872-0openalex-snapshot
Packing and Covering with Balls on Busemann Surfaces
inferred← citeshttps://doi.org/10.1007/s00454-019-00063-4openalex-snapshot
Voronoi Diagrams for a Moderate-Sized Point-Set in a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s00454-022-00424-6openalex-snapshot
An Optimal Deterministic Algorithm for Geodesic Farthest-Point Voronoi Diagrams in Simple Polygons
inferred← citeshttps://doi.org/10.1007/s00454-025-00768-9openalex-snapshot
The Geodesic Edge Center of a Simple Polygon
inferred← citeshttps://doi.org/10.1007/s10957-011-9868-5openalex-snapshot
Blaschke-Type Theorem and Separation of Disjoint Closed Geodesic Convex Sets
inferred← citeshttps://doi.org/10.1016/0022-0000(89)90045-7openalex-snapshot
Computing geodesic furthest neighbors in simple polygons
inferred← citeshttps://doi.org/10.1016/0166-218x(91)90063-3openalex-snapshot
Computing external farthest neighbors for a simple polygon
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50016-4openalex-snapshot
Geometric Shortest Paths and Network Optimization
inferred← citeshttps://doi.org/10.1016/j.cad.2011.09.002openalex-snapshot
Extended grassfire transform on medial axes of 2D shapes
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.02.005openalex-snapshot
Computing the L1 geodesic diameter and center of a simple polygon in linear time
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.10.009openalex-snapshot
Computing the geodesic centers of a polygonal domain
inferred← citeshttps://doi.org/10.1016/j.comgeo.2018.02.008openalex-snapshot
The geodesic 2-center problem in a simple polygon
inferred← citeshttps://doi.org/10.1016/j.comgeo.2019.05.001openalex-snapshot
Computing a geodesic two-center of points in a simple polygon
inferred← citeshttps://doi.org/10.1016/j.comgeo.2021.101774openalex-snapshot
Piercing pairwise intersecting geodesic disks
inferred← citeshttps://doi.org/10.1016/j.comgeo.2022.101947openalex-snapshot
Piercing pairwise intersecting geodesic disks by five points
inferred← citeshttps://doi.org/10.1016/j.comgeo.2025.102209openalex-snapshot
Piercing unit geodesic disks
inferred← citeshttps://doi.org/10.1016/j.media.2020.101711openalex-snapshot
Groupwise registration with global-local graph shrinkage in atlas construction
inferred← citeshttps://doi.org/10.1016/j.procs.2025.10.318openalex-snapshot
Computational aspects of disks enclosing many points
inferred← citeshttps://doi.org/10.1016/s0166-218x(99)00248-6openalex-snapshot
Centers of sets of pixels
inferred← citeshttps://doi.org/10.1016/s0927-0507(05)80124-0openalex-snapshot
Chapter 7 A survey of computational geometry
inferred← citeshttps://doi.org/10.1080/01630561003757801openalex-snapshot
Some Computational Aspects of Geodesic Convex Sets in a Simple Polygon
inferred← citeshttps://doi.org/10.1090/tran/9301openalex-snapshot
Point selections from Jordan domains in Riemannian surfaces
inferred← citeshttps://doi.org/10.1097/00001756-200501190-00003openalex-snapshot
Positioning of retinotopic areas and patterning of cerebral cortex layout
inferred← citeshttps://doi.org/10.1109/cgi.1996.511792openalex-snapshot
Computing the constrained Euclidean, geodesic and link centre of a simple polygon with applications
inferred← citeshttps://doi.org/10.1109/tvcg.2010.89openalex-snapshot
Point-Based Visualization for Large Hierarchies
inferred← citeshttps://doi.org/10.1111/cgf.13000openalex-snapshot
Spatial Matching of Animated Meshes
inferred← citeshttps://doi.org/10.1111/cgf.14373openalex-snapshot
On Landmark Distances in Polygons
inferred← citeshttps://doi.org/10.1137/20m1384804openalex-snapshot
Kinetic Geodesic Voronoi Diagrams in a Simple Polygon
inferred← citeshttps://doi.org/10.1142/s0218195905001762openalex-snapshot
SEPARATING POINT SETS IN POLYGONAL ENVIRONMENTS
inferred← citeshttps://doi.org/10.1142/s0218195910003499openalex-snapshot
PARETO ENVELOPES IN SIMPLE POLYGONS
inferred← citeshttps://doi.org/10.1142/s0218195911003822openalex-snapshot
GEODESIC DISKS AND CLUSTERING IN A SIMPLE POLYGON
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Diameters, centers, and approximating trees of delta-hyperbolicgeodesic spaces and graphs
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The geodesic farthest-site Voronoi diagram in a polygonal domain with holes
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On the continuous Weber and k -median problems (extended abstract)
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Farthest neighbors and center points in the presence of rectngular obstacles
inferred← citeshttps://doi.org/10.1145/41958.41959openalex-snapshot
Computing the link center of a simple polygon
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On the geodesic Voronoi diagram of point sites in a simple polygon
inferred← citeshttps://doi.org/10.1145/73393.73417openalex-snapshot
The furthest-site geodesic Voronoi diagram
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Separating point sets in polygonal environments
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On the Continuous Fermat-Weber Problem
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On the Geodesic Centers of Polygonal Domains
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On Proximity Problems In Euclidean Spaces
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Constrained Geometric Optimization Problems
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Shortest Path Problems in Weighted Regions
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The Visibility Center of a Simple Polygon
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Geodesic farthest-point Voronoi diagram in linear time
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An Optimal Deterministic Algorithm for Geodesic Farthest-Point Voronoi Diagrams in Simple Polygons
inferred← citeshttps://doi.org/10.48550/arxiv.1402.5303openalex-snapshot
Diffuse Reflection Radius in a Simple Polygon
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Covering the Boundary of a Simple Polygon with Geodesic Unit Disks
inferred← citeshttps://doi.org/10.48550/arxiv.1501.00561openalex-snapshot
A linear-time algorithm for the geodesic center of a simple polygon
inferred← citeshttps://doi.org/10.48550/arxiv.1509.07214openalex-snapshot
Computing the Geodesic Centers of a Polygonal Domain
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A Time-space Trade-off for Computing the Geodesic Center of a Simple Polygon
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Computing a Geodesic Two-Center of Points in a Simple Polygon
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