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Optimal parallel algorithms for point-set and polygon problems

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/bf01762118openalex-snapshot
Parallel triangulation of a polygon in two calls to the trapezoidal map
inferredcites →https://doi.org/10.1007/bf01762120openalex-snapshot
Parallel computational geometry
inferredcites →https://doi.org/10.1007/bf01762130openalex-snapshot
Parallel algorithms for some functions of two convex polygons
inferredcites →https://doi.org/10.1007/bfb0105127openalex-snapshot
Finding the maximum, merging and sorting in a parallel computation model
inferredcites →https://doi.org/10.1016/0020-0190(78)90066-2openalex-snapshot
The all nearest-neighbor problem for convex polygons
inferredcites →https://doi.org/10.1016/0020-0190(79)90021-8openalex-snapshot
A note on the all nearest-neighbor problem for convex polygons
inferredcites →https://doi.org/10.1016/0020-0190(87)90002-0openalex-snapshot
Finding the convex hull of a sorted point set in parallel
inferredcites →https://doi.org/10.1016/0196-6774(81)90010-9openalex-snapshot
Finding the maximum, merging, and sorting in a parallel computation model
inferredcites →https://doi.org/10.1016/0196-6774(89)90032-1openalex-snapshot
Triangulating a polygon in parallel
inferredcites →https://doi.org/10.1016/0304-3975(79)90055-0openalex-snapshot
Finding the intersection of n half-spaces in time O(n log n)
inferredcites →https://doi.org/10.1016/0743-7315(86)90011-0openalex-snapshot
Efficient parallel solutions to some geometric problems
inferredcites →https://doi.org/10.1109/sfcs.1975.8openalex-snapshot
Closest-point problems
inferredcites →https://doi.org/10.1109/sfcs.1983.1openalex-snapshot
A kinetic framework for computational geometry
inferredcites →https://doi.org/10.1109/tc.1984.1676388openalex-snapshot
Computational Geometry—A Survey
inferredcites →https://doi.org/10.1109/tc.1985.6312202openalex-snapshot
The power of parallel prefix
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/10.1137/0217049openalex-snapshot
Parallel Merge Sort
inferredcites →https://doi.org/10.1137/0218014openalex-snapshot
Adaptive Bitonic Sorting: An Optimal Parallel Algorithm for Shared-Memory Machines
inferredcites →https://doi.org/10.1137/0218035openalex-snapshot
Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms
inferredcites →https://doi.org/10.1145/322139.322142openalex-snapshot
An Optimal Algorithm for Finding the Kernel of a Polygon
inferredcites →https://doi.org/10.1145/322217.322232openalex-snapshot
Parallel Prefix Computation
inferredcites →https://doi.org/10.1145/800113.803652openalex-snapshot
Divide-and-conquer in multidimensional space
inferredcites →https://doi.org/10.1145/800116.803772openalex-snapshot
Geometric complexity
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.
inferredcites →https://doi.org/10.2307/2325168openalex-snapshot
Algorithms in Combinatorial Geometry.

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jpdc.1996.0095openalex-snapshot
Time-Optimal Nearest-Neighbor Computations on Enhanced Meshes
inferred← citeshttps://doi.org/10.1007/3-540-58184-7_96openalex-snapshot
Time-optimal nearest-neighbor computations on enhanced meshes
inferred← citeshttps://doi.org/10.1007/3-540-64359-1_714openalex-snapshot
Parallel randomized techniques for some fundamental geometric problems: A survey
inferred← citeshttps://doi.org/10.1007/978-1-4613-3282-4_7openalex-snapshot
Parallel Randomized Techniques for Some Fundamental Geometric Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-39958-9_39openalex-snapshot
The Unified Algorithmic Platform for Solving Complex Problems of Computational Geometry
inferred← citeshttps://doi.org/10.1007/978-3-642-40164-0_21openalex-snapshot
New Sequential and Parallel Algorithms for Computing the β-Spectrum
inferred← citeshttps://doi.org/10.1007/978-3-658-37711-3_4openalex-snapshot
Durchschnitte, Zerlegungen und Sichtbarkeit
inferred← citeshttps://doi.org/10.1007/bfb0045071openalex-snapshot
Constructing a strongly convex superhull of points
inferred← citeshttps://doi.org/10.1007/s10559-010-9196-zopenalex-snapshot
Recursion and parallel algorithms in geometric modeling problems
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50005-xopenalex-snapshot
Deterministic Parallel Computational Geometry
inferred← citeshttps://doi.org/10.1016/j.tcs.2015.03.033openalex-snapshot
New sequential and parallel algorithms for computing the β-spectrum
inferred← citeshttps://doi.org/10.1016/s0022-0000(05)80023-6openalex-snapshot
Parallel solutions to geometric problems in the scan model of computation
inferred← citeshttps://doi.org/10.1016/s0167-8191(98)00105-7openalex-snapshot
Fundamental data movement operations and its applications on a hyper-bus broadcast network
inferred← citeshttps://doi.org/10.1109/12.392849openalex-snapshot
Optimal parallel hypercube algorithms for polygon problems
inferred← citeshttps://doi.org/10.1109/5.163410openalex-snapshot
Parallel techniques for computational geometry
inferred← citeshttps://doi.org/10.1109/71.615443openalex-snapshot
An optimal algorithm for the angle-restricted all nearest neighbor problem on the reconfigurable mesh, with applications
inferred← citeshttps://doi.org/10.1109/hicss.1994.323267openalex-snapshot
Maintaining Voronoi diagrams in parallel
inferred← citeshttps://doi.org/10.1109/icapp.1995.472195openalex-snapshot
A parallel method for finding the convex hull of discs
inferred← citeshttps://doi.org/10.1109/ipps.1994.288314openalex-snapshot
Time-optimal proximity algorithms on meshes with multiple broadcasting
inferred← citeshttps://doi.org/10.1137/1.9781611976465.128openalex-snapshot
Atomic Power in Forks: A Super-Logarithmic Lower Bound for Implementing Butterfly Networks in the Nonatomic Binary Fork-Join Model
inferred← citeshttps://doi.org/10.1142/9789812797773_0002openalex-snapshot
COMPETITIVE STRATEGIES FOR AUTONOMOUS SYSTEMS
inferred← citeshttps://doi.org/10.1142/s0218195901000614openalex-snapshot
CONSTRUCTING A STRONGLY CONVEX SUPERHULL OF POINTS
inferred← citeshttps://doi.org/10.1142/s0218195998000151openalex-snapshot
Finding the Convex Hull of Discs in Parallel
inferred← citeshttps://doi.org/10.1142/s0218195999000091openalex-snapshot
COMPUTING A DOUBLE-RAY CENTER FOR A PLANAR POINT SET
inferred← citeshttps://doi.org/10.1145/160985.161002openalex-snapshot
Geometric partitioning made easier, even in parallel
inferred← citeshttps://doi.org/10.1145/177424.177511openalex-snapshot
Optimal parallel randomized algorithms for the Voronoi diagram of line segments in the plane and related problems
inferred← citeshttps://doi.org/10.1145/1868013.1868030openalex-snapshot
The system of common algorithmic space to create visual models of phenomena and processes
inferred← citeshttps://doi.org/10.1145/200836.200853openalex-snapshot
A decomposition of multidimensional point sets with applications to k -nearest-neighbors and n -body potential fields
inferred← citeshttps://doi.org/10.7282/t3mk6hg9openalex-snapshot
Parallel Triangulation of a Set of Points for Coarse Grained Multicomputers
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