Guide Parallel Computational Geometry

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CGAL: The Open Source Computational Geometry Algorithms Library

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Computational geometry processing library

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  • Parallel computational geometry.
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  • Parallel Computational Geometry by S. G. Akl, K.A. Lyons -
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Voronoi Diagram. Computational Geometry. Line segment.

Strategic Directions in Computational Geometry Working Group Report

Parallel algorithms. Convex Hull. Parallel Algorithms. Data structures. Data Structures.

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Efficient Algorithms. Keywords Computational geometry Data structures Parallel algorithms.

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Algorithmica New York , 3 , Problems solvable in constant expected time include determining for each point whether it is an extreme point of the convex hull, determining for each point whether it is dominated by any other points, determining for each dominated point a maximal point that dominates it, finding the closest pair of points, and finding the furthest pair of points. These results extend to points chosen uniformly from the unit-cube in d -dimensional space, and to many nonuniform distributions. The convex hull, domination, and furthest point algorithms involve doing a first step which, which high probability, reduces the data set to a small number of points remaining to be considered.

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Then the processor to point ratio is very high, and significantly different techniques can be utilized.