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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
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: |
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| 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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