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Motion Planning for a Convex Polygon in a Polygonal Environment

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What this work says

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

inferredcites →https://doi.org/10.1006/jagm.1994.1038openalex-snapshot
Applications of Parametric Searching in Geometric Optimization
inferredcites →https://doi.org/10.1007/3-540-51683-2_25openalex-snapshot
A practical exact motion planning algorithm for polygonal objects amidst polygonal obstacles
inferredcites →https://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferredcites →https://doi.org/10.1007/bf01758854openalex-snapshot
Quasi-optimal upper bounds for simplex range searching and new zone theorems
inferredcites →https://doi.org/10.1007/bf01840348openalex-snapshot
Generalized Voronoi diagrams for a ladder: II. Efficient construction of the diagram
inferredcites →https://doi.org/10.1007/bf01840368openalex-snapshot
A new efficient motion-planning algorithm for a rod in two-dimensional polygonal space
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
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/bf02187883openalex-snapshot
On the number of critical free contacts of a convex polygonal object moving in two-dimensional polygonal space
inferredcites →https://doi.org/10.1007/bf02570705openalex-snapshot
On lazy randomized incremental construction
inferredcites →https://doi.org/10.1007/bf02712871openalex-snapshot
Efficient randomized algorithms for some geometric optimization problems
inferredcites →https://doi.org/10.1007/bfb0015247openalex-snapshot
Algorithmic techniques for geometric optimization
inferredcites →https://doi.org/10.1007/bfb0015744openalex-snapshot
A fast algorithm for polygon containment by translation
inferredcites →https://doi.org/10.1007/pl00009337openalex-snapshot
Largest Placement of One Convex Polygon Inside Another
inferredcites →https://doi.org/10.1016/0925-7721(93)90001-mopenalex-snapshot
A convex polygon among polygonal obstacles: placement and high-clearance motion
inferredcites →https://doi.org/10.1016/0925-7721(94)90011-6openalex-snapshot
External polygon containment problems
inferredcites →https://doi.org/10.1093/comjnl/36.5.504openalex-snapshot
Computing Roadmaps of General Semi-Algebraic Sets
inferredcites →https://doi.org/10.1109/robot.1988.12304openalex-snapshot
A practical exact motion planning algorithm for polygonal objects amidst polygonal obstacles
inferredcites →https://doi.org/10.1137/0204030openalex-snapshot
Parallelism in Comparison Problems
inferredcites →https://doi.org/10.1137/0221020openalex-snapshot
Efficient Point Location in a Convex Spatial Cell-Complex
inferredcites →https://doi.org/10.1137/0221035openalex-snapshot
Ray Shooting and Other Applications of Spanning Trees with Low Stabbing Number
inferredcites →https://doi.org/10.1137/0222077openalex-snapshot
Computing a Face in an Arrangement of Line Segments and Related Problems
inferredcites →https://doi.org/10.1137/s0097539793250755openalex-snapshot
The Union of Convex Polyhedra in Three Dimensions
inferredcites →https://doi.org/10.1137/s0097539794265724openalex-snapshot
Computing Envelopes in Four Dimensions with Applications
inferredcites →https://doi.org/10.1145/109648.109668openalex-snapshot
Extremal polygon containment problems
inferredcites →https://doi.org/10.1145/177424.177445openalex-snapshot
On translational motion planning in 3-space
inferredcites →https://doi.org/10.1145/177424.177574openalex-snapshot
Spheres, molecules, and hidden surface removal
inferredcites →https://doi.org/10.1145/195058.195113openalex-snapshot
On lazy randomized incremental construction
inferredcites →https://doi.org/10.1145/2157.322410openalex-snapshot
Applying Parallel Computation Algorithms in the Design of Serial Algorithms
inferredcites →https://doi.org/10.1145/220279.220299openalex-snapshot
The overlay of lower envelopes in three dimensions and its applications
inferredcites →https://doi.org/10.1145/323233.323262openalex-snapshot
An efficient and simple motion planning algorithm for a ladder moving in two-dimensional space amidst polygonal barriers (extended abstract)
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1201/9781420035315-47openalex-snapshot
Algorithmic motion planning
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.

What points at this work

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

inferred← citeshttps://doi.org/10.2139/ssrn.4166610openalex-extracted
Largest Similar Copies of Convex Polygons in Polygonal Domains
inferred← citeshttps://doi.org/10.1002/rob.20285openalex-snapshot
Differentially constrained mobile robot motion planning in state lattices
inferred← citeshttps://doi.org/10.1006/cviu.2000.0835openalex-snapshot
Image Analysis and Computer Vision: 1999
inferred← citeshttps://doi.org/10.1007/978-1-4471-4282-9openalex-snapshot
From Linear Operators to Computational Biology
inferred← citeshttps://doi.org/10.1007/978-1-4471-4282-9_6openalex-snapshot
Jack Schwartz and Robotics: The Roaring Eighties
inferred← citeshttps://doi.org/10.1007/978-1-4615-0013-1_6openalex-snapshot
Randomized Algorithms for Geometric Optimization Problems
inferred← citeshttps://doi.org/10.1007/978-3-540-87744-8_5openalex-snapshot
Stabbing Convex Polygons with a Segment or a Polygon
inferred← citeshttps://doi.org/10.1007/pl00009337openalex-snapshot
Largest Placement of One Convex Polygon Inside Another
inferred← citeshttps://doi.org/10.1007/s00454-006-1263-xopenalex-snapshot
On the Union of κ-Round Objects in Three and Four Dimensions
inferred← citeshttps://doi.org/10.1007/s004540010064openalex-snapshot
Pipes, Cigars, and Kreplach: the Union of Minkowski Sums in Three Dimensions
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/j.comgeo.2011.01.001openalex-snapshot
Witness (Delaunay) graphs
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115685openalex-snapshot
Largest similar copies of convex polygons in polygonal domains
inferred← citeshttps://doi.org/10.1016/s0925-7721(99)00006-1openalex-snapshot
Rotational polygon containment and minimum enclosure using only robust 2D constructions
inferred← citeshttps://doi.org/10.1017/cbo9780511546877.008openalex-snapshot
Combinatorial Motion Planning
inferred← citeshttps://doi.org/10.1109/icde.2012.44openalex-snapshot
A Foundation for Efficient Indoor Distance-Aware Query Processing
inferred← citeshttps://doi.org/10.1109/icra.2018.8460665openalex-snapshot
An Automated Reactive Approach to Single Robot Exogeneous Planar Assembly
inferred← citeshttps://doi.org/10.1109/icra55743.2025.11127599openalex-snapshot
Asymptotically-Optimal Multi-Query Path Planning for a Polygonal Robot
inferred← citeshttps://doi.org/10.1109/tro.2004.829479openalex-snapshot
A Geometric Method for Determining Intersection Relations Between a Movable Convex Object and a Set of Planar Polygons
inferred← citeshttps://doi.org/10.1137/1.9781611977073.124openalex-snapshot
Polygon Placement Revisited: (Degree of Freedom + 1)-SUM Hardness and an Improvement via Offline Dynamic Rectangle Union
inferred← citeshttps://doi.org/10.1145/262839.262996openalex-snapshot
Rotational polygon overlap minimization
inferred← citeshttps://doi.org/10.1145/276884.276885openalex-snapshot
Rotational polygon containment and minimum enclosure
inferred← citeshttps://doi.org/10.1145/299917.299918openalex-snapshot
Efficient algorithms for geometric optimization
inferred← citeshttps://doi.org/10.1145/304893.304960openalex-snapshot
Pipes, cigars, and kreplach
inferred← citeshttps://doi.org/10.1145/997817.997875openalex-snapshot
On the union of κ-round objects
inferred← citeshttps://doi.org/10.4230/lipics.fsttcs.2021.19openalex-snapshot
Largest Similar Copies of Convex Polygons in Polygonal Domains
inferred← citeshttps://doi.org/10.48550/arxiv.1709.06601openalex-snapshot
Parameterization of configuration space obstacles in three-dimensional rotational motion planning
inferred← citeshttps://doi.org/10.5555/1070432.1070502openalex-snapshot
Pianos are not flat: rigid motion planning in three dimensions
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