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On lazy randomized incremental construction

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-55210-3_205openalex-snapshot
Four results on randomized incremental constructions
inferredcites →https://doi.org/10.1007/978-3-642-58043-7_3openalex-snapshot
Backwards Analysis of Randomized Geometric Algorithms
inferredcites →https://doi.org/10.1007/bf01758770openalex-snapshot
Randomized incremental construction of Delaunay and Voronoi diagrams
inferredcites →https://doi.org/10.1007/bf02123007openalex-snapshot
Triangles in space or building (and analyzing) castles in the air
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187744openalex-snapshot
On the general motion-planning problem with two degrees of freedom
inferredcites →https://doi.org/10.1007/bf02187783openalex-snapshot
Combinatorial complexity bounds for arrangements of curves and spheres
inferredcites →https://doi.org/10.1007/bf02187902openalex-snapshot
Separating two simple polygons by a sequence of translations
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/bf02574699openalex-snapshot
Small-dimensional linear programming and convex hulls made easy
inferredcites →https://doi.org/10.1016/0304-3975(93)90024-nopenalex-snapshot
On the randomized construction of the Delaunay tree
inferredcites →https://doi.org/10.1109/sfcs.1988.21974openalex-snapshot
A fast planar partition algorithm. I
inferredcites →https://doi.org/10.1137/0222031openalex-snapshot
On the Zone Theorem for Hyperplane Arrangements
inferredcites →https://doi.org/10.1145/220279.220301openalex-snapshot
A new technique for analyzing substructures in arrangements
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.

inferred← citeshttps://doi.org/10.1002/cpa.3160480910openalex-snapshot
Robot motion planning
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Tessellation
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Derandomization in Computational Geometry
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Visibility Maps of Segments and Triangles in 3D
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Casting a Polyhedron with Directional Uncertainty
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Recent Developments in the Theory of Arrangements of Surfaces
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Minimum-Width Double-Slabs and Widest Empty Slabs in High Dimensions
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Davenport-Schinzel Sequences and their Geometric Applications
inferred← citeshttps://doi.org/10.1007/bf02712871openalex-snapshot
Efficient randomized algorithms for some geometric optimization problems
inferred← citeshttps://doi.org/10.1007/bf02712877openalex-snapshot
A new technique for analyzing substructures in arrangements of piecewise linear surfaces
inferred← citeshttps://doi.org/10.1007/bf02716576openalex-snapshot
The overlay of lower envelopes and its applications
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A near-quadratic algorithm for planning the motion of a polygon in a polygonal environment
inferred← citeshttps://doi.org/10.1007/bfb0054378openalex-snapshot
Fast and efficient computation of additively weighted Voronoi cells for applications in molecular biology
inferred← citeshttps://doi.org/10.1007/pl00009319openalex-snapshot
Vertical Decomposition of a Single Cell in a Three-Dimensional Arrangement of Surfaces
inferred← citeshttps://doi.org/10.1007/pl00009455openalex-snapshot
Motion Planning for a Convex Polygon in a Polygonal Environment
inferred← citeshttps://doi.org/10.1007/s00453-006-1229-7openalex-snapshot
Motorcycle Graphs and Straight Skeletons
inferred← citeshttps://doi.org/10.1007/s00454-001-0026-yopenalex-snapshot
Online Point Location in Planar Arrangements and Its Applications
inferred← citeshttps://doi.org/10.1007/s00454-001-0027-xopenalex-snapshot
A Randomized Algorithm for Triangulating a Simple Polygon in Linear Time
inferred← citeshttps://doi.org/10.1016/0304-3975(95)00174-3openalex-snapshot
An introduction to randomization in computational geometry
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00007-0openalex-snapshot
On-line construction of the upper envelope of triangles and surface patches in three dimensions
inferred← citeshttps://doi.org/10.1016/0925-7721(95)00021-6openalex-snapshot
Point location in zones of k-flats in arrangements
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50002-4openalex-snapshot
Davenport–Schinzel Sequences and Their Geometric Applications**Both authors have been supported by a grant from the U.S.–Israeli Binational Science Foundation. Pankaj Agarwal has also been supported by a National Science Foundation Grant CCR-93–01259, by an Army Research Office MURI grant…
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50003-6openalex-snapshot
Arrangements and Their Applications**Work by PA. was supported by Army Research Office MURI grant DAAH04-96-1-0013, by a Sloan fellowship, by an NYI award, and by a grant from the U.S.–Israeli Binational Science Foundation. Work by M.S. was supported by NSF Grants CCR-91-22103 and CCR-93-11127, by…
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50014-0openalex-snapshot
Derandomization in Computational Geometry
inferred← citeshttps://doi.org/10.1016/j.comgeo.2006.11.001openalex-snapshot
Visibility maps of segments and triangles in 3D
inferred← citeshttps://doi.org/10.1016/j.comgeo.2025.102173openalex-snapshot
Minimum-width double-slabs and widest empty slabs in high dimensions
inferred← citeshttps://doi.org/10.1016/j.datak.2012.02.001openalex-snapshot
Probabilistic Voronoi diagrams for probabilistic moving nearest neighbor queries
inferred← citeshttps://doi.org/10.1016/j.ipl.2008.03.024openalex-snapshot
Capturing crossings: Convex hulls of segment and plane intersections
inferred← citeshttps://doi.org/10.1016/s0020-0190(97)00125-7openalex-snapshot
Computing a single cell in the overlay of two simple polygons
inferred← citeshttps://doi.org/10.1016/s0020-0190(97)00188-9openalex-snapshot
Separating and shattering long line segments
inferred← citeshttps://doi.org/10.1016/s0925-7721(02)00167-0openalex-snapshot
Casting a polyhedron with directional uncertainty
inferred← citeshttps://doi.org/10.1090/surv/173/08openalex-snapshot
Sampling and the moments technique
inferred← citeshttps://doi.org/10.1109/sffcs.1999.814582openalex-snapshot
Taking a walk in a planar arrangement
inferred← citeshttps://doi.org/10.1137/1.9781611975994.173openalex-snapshot
Nearly Optimal Planar k Nearest Neighbors Queries under General Distance Functions
inferred← citeshttps://doi.org/10.1137/110840030openalex-snapshot
Computing Shortest Paths amid Convex Pseudodisks
inferred← citeshttps://doi.org/10.1137/20m1388371openalex-snapshot
Nearly Optimal Planar $k$ Nearest Neighbors Queries under General Distance Functions
inferred← citeshttps://doi.org/10.1137/21m1423324openalex-snapshot
Optimal Algorithms for Geometric Centers and Depth
inferred← citeshttps://doi.org/10.1137/s0097539793250755openalex-snapshot
The Union of Convex Polyhedra in Three Dimensions
inferred← citeshttps://doi.org/10.1137/s0097539794265724openalex-snapshot
Computing Envelopes in Four Dimensions with Applications
inferred← citeshttps://doi.org/10.1137/s009753979426616xopenalex-snapshot
Computing Many Faces in Arrangements of Lines and Segments
inferred← citeshttps://doi.org/10.1137/s0097539795281840openalex-snapshot
Constructing Levels in Arrangements and Higher Order Voronoi Diagrams
inferred← citeshttps://doi.org/10.1137/s0097539795295936openalex-snapshot
Vertical Decomposition of Shallow Levels in 3-Dimensional Arrangements and Its Applications
inferred← citeshttps://doi.org/10.1137/s0097539799350232openalex-snapshot
Constructing Planar Cuttings in Theory and Practice
inferred← citeshttps://doi.org/10.1137/s0097539799362627openalex-snapshot
Taking a Walk in a Planar Arrangement
inferred← citeshttps://doi.org/10.1142/s0218195900000036openalex-snapshot
COMPUTING LARGEST CIRCLES SEPARATING TWO SETS OF SEGMENTS
inferred← citeshttps://doi.org/10.1142/s0218195917500017openalex-snapshot
Minimum Cell Connection in Line Segment Arrangements
inferred← citeshttps://doi.org/10.1145/1150334.1150338openalex-snapshot
Efficient algorithms for bichromatic separability
inferred← citeshttps://doi.org/10.1145/1542362.1542368openalex-snapshot
Near-linear approximation algorithms for geometric hitting sets
inferred← citeshttps://doi.org/10.1145/177424.177521openalex-snapshot
Constructing levels in arrangements and higher order Voronoi diagrams
inferred← citeshttps://doi.org/10.1145/177424.177548openalex-snapshot
Computing many faces in arrangements of lines and segments
inferred← citeshttps://doi.org/10.1145/177424.178081openalex-snapshot
Computing envelopes in four dimensions with applications
inferred← citeshttps://doi.org/10.1145/203610.606409openalex-snapshot
Technical Report Column
inferred← citeshttps://doi.org/10.1145/2093973.2094010openalex-snapshot
Delineating imprecise regions via shortest-path graphs
inferred← citeshttps://doi.org/10.1145/220279.220284openalex-snapshot
Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications
inferred← citeshttps://doi.org/10.1145/220279.220314openalex-snapshot
Efficient randomized algorithms for some geometric optimization problems
inferred← citeshttps://doi.org/10.1145/225058.225285openalex-snapshot
Computing faces in segment and simplex arrangements
inferred← citeshttps://doi.org/10.1145/237218.237230openalex-snapshot
Vertical decomposition of a single cell in a three-dimensional arrangement of surfaces and its applications
inferred← citeshttps://doi.org/10.1145/304893.304993openalex-snapshot
On range reporting, ray shooting and k -level construction
inferred← citeshttps://doi.org/10.1145/336154.336197openalex-snapshot
When crossings count — approximating the minimum spanning tree
inferred← citeshttps://doi.org/10.1145/336154.336206openalex-snapshot
Linear-time triangulation of a simple polygon made easier via randomization
inferred← citeshttps://doi.org/10.1201/9781439864524-17openalex-snapshot
Largest Placem ents and M otion Planning of a Convex Polygon
inferred← citeshttps://doi.org/10.1201/9781439864524-18openalex-snapshot
Acknowledgements
inferred← citeshttps://doi.org/10.48550/arxiv.0907.0907openalex-snapshot
Randomized Incremental Construction of Compressed Quadtrees
inferred← citeshttps://doi.org/10.48550/arxiv.1104.4618openalex-snapshot
Minimum cell connection and separation in line segment arrangements
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0303001openalex-snapshot
When Crossings Count - Approximating the Minimum Spanning Tree
inferred← citeshttps://doi.org/10.5555/365411.365419openalex-snapshot
Online point location in planar arrangements and its applications
inferred← citeshttps://doi.org/10.5555/545381.545401openalex-snapshot
Motorcycle graphs and straight skeletons
inferred← citeshttps://doi.org/10.5555/982792.982897openalex-snapshot
Efficient algorithms for bichromatic separability
inferred← citeshttps://doi.org/10.7315/cadcam.2012.262openalex-snapshot
GPU Algorithm for Outer Boundaries of a Triangle Set
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