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Time complexity of practical parallel steiner point insertion algorithms
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Source ACM Symposium on Parallel Algorithms and Architectures archive
Proceedings of the sixteenth annual ACM symposium on Parallelism in algorithms and architectures table of contents
Barcelona, Spain
SESSION: SPAA revue table of contents
Pages: 267 - 268  
Year of Publication: 2004
ISBN:1-58113-840-7
Authors
Daniel A. Spielman  Massachusets Instute of Tech.
Shang-Hua Teng  Boston University
Alper Üngör  Duke University
Sponsors
ACM: Association for Computing Machinery
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
SIGARCH: ACM Special Interest Group on Computer Architecture
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 6,   Downloads (12 Months): 18,   Citation Count: 3
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ABSTRACT

An effective method in practice to compute quality Delaunay triangulations is to apply parallel refinements that insert Steiner points whose prestars in the triangulation do not overlap. We show that these algorithms can be implemented in O(log m) time using m processors, where m is the output size. To our knowledge, this is the first such analysis.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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M. Bern, D. Eppstein, and S.-H. Teng. Parallel construction of quadtrees and quality triangulations. Int. J. Comp. Geom. & Applications, 9(6):517--532, 1999.
 
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P. Chew. Guaranteed-quality triangular meshes. Tech. Rep. TR-89-983, Cornell University, Ithaca, 1989.
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T. Okusanya and J. Peraire. Parallel unstructured mesh generation. Proc.Int.Conf.Numer.Grid Gen., 719--729, 1996.
 
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D. A. Spielman, S.-H. Teng, and A. Üngör. Parallel Delaunay refinement: Algorithms and analyses. Proc. Int. Meshing Roundtable, 205--217, 2002.


Collaborative Colleagues:
Daniel A. Spielman: colleagues
Shang-Hua Teng: colleagues
Alper Üngör: colleagues