Developing a Practical Projection-Based Parallel Delaunay Algorithm (1996)  (Make Corrections)  (5 citations)
Guy E. Blelloch, Gary L. Miller, Dafna Talmor
12th Annual Symposium on Computational Geometry

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Abstract: In this paper we are concerned with developing a practical parallel algorithm for Delaunay triangulation that works well on general distributions, particularly those that arise in Scientific Computation. Although there have been many theoretical algorithms for the problem, and some implementations based on bucketing that work well for uniform distributions, there has been little work on implementations for general distributions. We use the well known reduction of 2D Delaunay triangulation to 3D ... (Update)

Context of citations to this paper:   More

.... several parallel machines [8] and has been used both for teaching parallel algorithms [9, 7] and implementing various applications [17, 4, 1]. The parallelism in the language is based on including a primitive sequence data type, a parallel map operation, and a small set of...

.... Talmor recently developed a CREW PRAM algorithm that does not rely on bucketing and hence can efficiently handle non uniform datasets [8]. It is divide and conquer in style but uses a marriage before conquest approach to eliminate the expensive merge step that has hindered...

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BibTeX entry:   (Update)

G. Blelloch, G. L. Miller, and D. Talmor. Developing a practical projection-based parallel Delaunay algorithm. In Proceedings ACM Symposium on Computational Geometry, May 1996. http://citeseer.nj.nec.com/blelloch96developing.html   More

@inproceedings{ blelloch96developing,
    author = "G. E. Blelloch and G. L. Miller and D. Talmor",
    title = "{Developing a Practical Projection-Based Parallel Delaunay Algorithm}",
    booktitle = "12th Annual Symposium on Computational Geometry",
    year = "1996",
    url = "citeseer.nj.nec.com/blelloch96developing.html" }
Citations (may not include all citations):
1084   Computational Geometry An Introduction (context) - Preparata, Shamos - 1985    
216   Primitives for the manipulation of general subdivisions and .. (context) - Guibas, Stolfi - 1985
174   Parallel prefix computation (context) - Ladner, Fischer - 1980
118   Implementation of a portable nested data-parallel language - Blelloch, Chatterjee et al. - 1994
76   Closest-point problems (context) - Shamos, Hoey - 1975
55   Parallel computational geometry (context) - Aggarwal, Chazelle et al. - 1988
49   The ultimate planar convex hull algorithm (context) - Kirkpatrick, Seidel - 1986
37   A Delaunay based numerical method for three dimensions: gene.. - Miller, Talmor et al. - 1995
26   Output-sensitive construction of polytopes in four dimension.. (context) - Chan, Snoeyink et al. - 1995
24   convex hull algorithm for coarse grained multicomputers (context) - Dehne, Deng et al. - 1995
18   A comparison of sequential delaunay triangulation algorithms - Su, Drysdale - 1995
16   Parallel solutions to geometric problems in the scan model o.. - Blelloch, Little - 1994
12   The expected extremes in a Delaunay triangulation - Bern, Eppstein et al. - 1991
11   Polling: A new randomizedsampling technique for computationa.. (context) - Reif, Sen - 1989
9   Merging free trees in parallel for efficient voronoi diagram.. (context) - Cole, Goodrich et al. - 1990
7   Efficient parallel algorithms for closest point problems - Su - 1994
7   A data-parallel algorithm for three-dimensional Delaunay tri.. (context) - Teng, Sullivan et al. - 1993
5   A simple divide-and-conquer algorithm for constructing delau.. (context) - Dwyer - 1986
5   Parallel implementation of an algorithm for delaunay triangu.. (context) - Merriam - 1992
3   An efficient expectedtime parallel algorithm for Voronoi con.. (context) - Vemuri, Varadarajan et al. - 1992
2   the distribution of matter within highly flattened galaxies (context) - Toomre - 1963
2   Parallel Algorithms for Computational Geometry (context) - Chow - 1980
2   Parallel Delaunay triangulation implementation (context) - Blelloch, Miller et al. - 1994
1   time algorithm for the three-dimensionaal convex hull proble.. (context) - Edelsbrunner, Shi et al. - 1991
1   Maintenance of configurationsin the plane (context) - Overmars, Van Leeuwen - 1981

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