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Coarse grained parallel next element search

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3 Author(s)
A. Chan ; Sch. of Comput. Sci., Carleton Univ., Ottawa, Ont., Canada ; F. Dehne ; A. Rau-Chaplin

The authors present a parallel algorithm for solving the next element search problem on a set of line segments, using a BSP like model referred to as the coarse grained multicomputer (CGM). The algorithm requires O(1) communication rounds (h-relations with h=O(n/p)), O((n/p) log n) local computation, and O((n/p) log n) storage per processor. The result implies solutions to the point location, trapezoidal decomposition and polygon triangulation problems. A simplified version for axis parallel segments requires only O(n/p) storage per processor, and they discuss an implementation of this version. As in a previous paper by Develliers and Fabri (1993), their algorithm is based on a distributed implementation of segment trees which are of size O(n log n). The paper improves on the work of Develliers and Fabri which presented a CGM algorithm for the special case of trapezoidal decomposition only and requires O((n/p)*log p*log n) local computation

Published in:

Parallel Processing Symposium, 1997. Proceedings., 11th International

Date of Conference:

1-5 Apr 1997