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A Simple Parallel Convex Hulls Algorithm for Sorted Points and the Performance Evaluation on the Multicore Processors

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4 Author(s)
Masaya Nakagawa ; Dept. of Inf. Eng., Hiroshima Univ., Higashi-Hiroshima, Japan ; Duhu Man ; Yasuaki Ito ; Koji Nakano

Finding a vast array of applications, the problem of computing the convex hull of a set of sorted points in the plane is one of the fundamental tasks in pattern recognition, morphology and image processing. The main contribution of this paper is to show a simple parallel algorithm for computing the convex hull of a set of n sorted points in the plane and evaluate the performance on the dual quad-core processors. The experimental results show that, our implementation achieves a speed-up factor of approximately 7 using 8 processors. Since the speed-up factor of more than 8 is not possible, our parallel implementation for computing the convex hull is close to optimal. Also, for 2 or 4 processors, we achieved a super linear speed up.

Published in:

2009 International Conference on Parallel and Distributed Computing, Applications and Technologies

Date of Conference:

8-11 Dec. 2009