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Parallel convex hull computation by generalised regular sampling

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Tiskin, Alexander (2002) Parallel convex hull computation by generalised regular sampling. In: Monien, B. and Feldmann, R., (eds.) Euro-Par 2002 Parallel Processing. Lecture Notes in Computer Science, Volume 2400 . Springer Berlin Heidelberg, pp. 392-399. ISBN 9783540440499

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Official URL: http://dx.doi.org/10.1007/3-540-45706-2_52

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Abstract

The model of bulk-synchronous parallel (BSP) computation is an emerging paradigm of general-purpose parallel computing. We propose the first optimal deterministic BSP algorithm for computing the convex hull of a set of points in three-dimensional Euclidean space. Our algorithm is based on known fundamental results from combinatorial geometry, concerning small-sized, efficiently constructible e-nets and c-approximations of a given point set. The algorithm generalises the technique of regular sampling, used previously for sorting and two-dimensional convex hull computation. The cost of the simple algorithm is optimal only for extremely large inputs; we show how to reduce the required input size by applying regular sampling in a multi-level fashion.

Item Type: Book Item
Subjects: Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software
Divisions: Faculty of Science > Computer Science
Series Name: Lecture Notes in Computer Science
Publisher: Springer Berlin Heidelberg
ISBN: 9783540440499
ISSN: 0302-9743
Book Title: Euro-Par 2002 Parallel Processing
Editor: Monien, B. and Feldmann, R.
Official Date: 2002
Dates:
DateEvent
2002Published
Volume: Volume 2400
Number of Pages: 8
Page Range: pp. 392-399
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Conference Paper Type: Paper
Title of Event: 8th International Euro-Par Conference on Parallel Processing
Type of Event: Conference
Location of Event: Paderborn, Germany
Date(s) of Event: 27-30 Aug 2002

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