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On the complexity of a single cell in certain arrangements of surfaces related to motion planning
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-19488-6_118openalex-snapshot
Arrangements of curves in the plane — topology, combinatorics, and algorithms
inferredcites →https://doi.org/10.1007/978-3-642-58043-7_2openalex-snapshot
Combinatorics and Algorithms of Arrangements
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/bf02123007openalex-snapshot
Triangles in space or building (and analyzing) castles in the air
inferredcites →https://doi.org/10.1007/bf02187683openalex-snapshot
On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
inferredcites →https://doi.org/10.1007/bf02187732openalex-snapshot
The upper envelope of piecewise linear functions and the boundary of a region enclosed by convex plates: Combinatorial analysis
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/bf02187779openalex-snapshot
An efficient motion-planning algorithm for a convex polygonal object in two-dimensional polygonal space
inferredcites →https://doi.org/10.1007/bf02187784openalex-snapshot
The complexity and construction of many faces in arrangements of lines and of segments
inferredcites →https://doi.org/10.1007/bf02187894openalex-snapshot
Planar realizations of nonlinear davenport-schinzel sequences by segments
inferredcites →https://doi.org/10.1007/bf02187902openalex-snapshot
Separating two simple polygons by a sequence of translations
inferredcites →https://doi.org/10.1016/0196-6774(87)90038-1openalex-snapshot
An efficient and simple motion planning algorithm for a ladder amidst polygonal barriers
inferredcites →https://doi.org/10.1016/0925-7721(92)90008-gopenalex-snapshot
Improved combinatorial bounds and efficient techniques for certain motion planning problems with three degrees of freedom
inferredcites →https://doi.org/10.1137/0216006openalex-snapshot
Power Diagrams: Properties, Algorithms and Applications
inferredcites →https://doi.org/10.1137/0221001openalex-snapshot
Efficient Motion Planning for an L -Shaped Object
inferredcites →https://doi.org/10.1145/109648.109670openalex-snapshot
The upper envelope of Voronoi surfaces 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)
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/10991541_23openalex-snapshot
Toward Complete Path Planning for Planar 3R-Manipulators Among Point Obstacles
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/10.1007/3-540-60220-8_55openalex-snapshot
Arrangements in higher dimensions: Voronoi diagrams, motion planning, and other applications
inferred← citeshttps://doi.org/10.1007/bf01258293openalex-snapshot
Robot motion planning and the single cell problem in arrangements
inferred← citeshttps://doi.org/10.1007/bf02570714openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions
inferred← citeshttps://doi.org/10.1007/s00454-010-9312-xopenalex-snapshot
On the Union of Cylinders in Three Dimensions
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/10.1109/focs.2008.25openalex-snapshot
On the Union of Cylinders in Three Dimensions
inferred← citeshttps://doi.org/10.1145/177424.177436openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions
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