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A near-quadratic algorithm for planning the motion of a 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/10.1007/978-3-642-58043-7_2openalex-snapshot
Combinatorics and Algorithms of Arrangements
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/bf02123007openalex-snapshot
Triangles in space or building (and analyzing) castles in the air
inferredcites →https://doi.org/10.1007/bf02187779openalex-snapshot
An efficient motion-planning algorithm for a convex polygonal object in two-dimensional polygonal space
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/bf02570714openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions
inferredcites →https://doi.org/10.1007/bf02574371openalex-snapshot
Castles in the air revisited
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/10.1016/s0747-7171(08)80070-3openalex-snapshot
On the two-dimensional davenport-schinzel problem
inferredcites →https://doi.org/10.1090/s0894-0347-1988-0928904-4openalex-snapshot
Rotation distance, triangulations, and hyperbolic geometry
inferredcites →https://doi.org/10.1137/1.9781611970265openalex-snapshot
Data Structures and Network Algorithms
inferredcites →https://doi.org/10.1145/103418.103470openalex-snapshot
Approximations and optimal geometric divide-and-conquer
inferredcites →https://doi.org/10.1145/177424.177436openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions

What points at this work

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

inferred← citeshttps://doi.org/10.1006/cviu.1997.0602openalex-snapshot
Image Analysis and Computer Vision: 1996
inferred← citeshttps://doi.org/10.1007/3-540-46691-6_1openalex-snapshot
Recent Developments in the Theory of Arrangements of Surfaces
inferred← citeshttps://doi.org/10.1007/978-3-319-32552-1_7openalex-snapshot
Motion Planning
inferred← citeshttps://doi.org/10.1007/978-3-540-30301-5_6openalex-snapshot
Motion Planning
inferred← citeshttps://doi.org/10.1007/978-3-642-23719-5_42openalex-snapshot
Motion Planning via Manifold Samples
inferred← citeshttps://doi.org/10.1007/978-3-642-36279-8_19openalex-snapshot
On the Power of Manifold Samples in Exploring Configuration Spaces and the Dimensionality of Narrow Passages
inferred← citeshttps://doi.org/10.1007/978-3-642-41610-1_166-1openalex-snapshot
Complexity of Planning
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/s00453-012-9736-1openalex-snapshot
Motion Planning via Manifold Samples
inferred← citeshttps://doi.org/10.1007/s10514-018-9743-4openalex-snapshot
On the relationship between dynamics and complexity in multi-agent collision avoidance
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.cad.2011.06.021openalex-snapshot
Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space
inferred← citeshttps://doi.org/10.1017/s0026318400007811openalex-snapshot
Tel Aviv University
inferred← citeshttps://doi.org/10.1090/conm/453/08794openalex-snapshot
State of the union (of geometric objects)
inferred← citeshttps://doi.org/10.1109/coase.2017.8256076openalex-snapshot
On the separation of a polyhedron from its single-part mold
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/tase.2014.2331983openalex-snapshot
On the Power of Manifold Samples in Exploring Configuration Spaces and the Dimensionality of Narrow Passages
inferred← citeshttps://doi.org/10.1137/s0097539793250755openalex-snapshot
The Union of Convex Polyhedra in Three Dimensions
inferred← citeshttps://doi.org/10.1145/1839778.1839780openalex-snapshot
Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space
inferred← citeshttps://doi.org/10.1177/02783649922067753openalex-snapshot
Motion Planning: A Journey of Robots, Molecules, Digital Actors, and Other Artifacts
inferred← citeshttps://doi.org/10.15607/rss.2016.xii.030openalex-snapshot
A Novel Relationship Between Dynamics and Complexity in Multi-agent Collision Avoidance
inferred← citeshttps://doi.org/10.25100/iyc.v2i2.2340openalex-snapshot
Sobre los Algoritmos de Planificación del Movimiento de Robots
inferred← citeshttps://doi.org/10.48550/arxiv.1607.02770openalex-snapshot
Sampling-based bottleneck pathfinding with applications to Frechet matching
inferred← citeshttps://doi.org/10.48550/arxiv.1708.04203openalex-snapshot
Optimal Algorithms for Separating a Polyhedron from Its Single-Part Mold
inferred← citeshttps://doi.org/10.5539/cis.v4n2p102openalex-snapshot
A Novel Implementation of G-Fuzzy Logic Controller Algorithm on Mobile Robot Motion Planning Problem
inferred← citeshttps://doi.org/10.5555/1070432.1070502openalex-snapshot
Pianos are not flat: rigid motion planning in three dimensions
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