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Generalized sweep methods for parallel computational geometry

Published: 01 May 1990 Publication History
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References

[1]
Abrahamson, K., Dadoun, N., Kirpatrick, D.A., and Przytycka, T., "A Simple Parallel Tree Contraction Algorithm," TR 87-30, Dept. of Comp. Sci., Univ. of British Columbia, 1987.
[2]
A. Aggarwal, B. Chazelle, L. Gulbas, C. ~)'D~ain$, and C. Yap, "Parallel Computational Geometry," Algorithmica, 3(3), 1988, 293-328.
[3]
R.J. Anderson and G.L. Miller, "Deterministic Parallel List Ranking," Lecture Notes 319: A WOC 88, Sprlnger-Ver}ag, 1988, 81-90.
[4]
M.J. Ataliah, R. Cole, and M.T. Goodrich, "Cascading Divide-and-Conquer: A Technique for Designing Parallel Algorithms," SIAM J. on Comput., 18(3), 1989, 499-532.
[5]
M.J. Atallah, M.T. Goodrich, and S.R. Kosaraju, "Parallel Algorithms for Evaluating Sequences of Set- Manipulation Operations," Lecture Note8 319: A WOC 88, Sprlnger-Verlag, 1988, 1-10.
[6]
:I.L. Bentley and D. Wood, "An Optima} Worst Case Algorithm for Reporting Intersections of Rectangles," IEEE Trans. on Computera, C-29(7), 1980, 571-576.
[7]
M. Bern, "Hidden Surface Removal for Rectangles," jth ACM Syrup. on Comp. Geom., 1988, 183-192.
[8]
R.P. Brent, "The Parallel Evalutation of Genera} Arithmetic Expressions," J. A CM, 21(2), 1974, 201- 206.
[9]
Chandran, S., and Mount, D., "Shared memory algorithms and the medial axis transform", 1987 IEEE Workahop on Computer Arch.for PAMI.
[10]
B. Chazelle and L.J. Guibas, "Fractional Cascading: I. A Data Structuring Technique," Algorithmica, 1(2), 133-162.
[11]
A. Chow, "Parallel Algorithms for Geometric Problems," Ph.D. thesis, Comp. Sci., Univ. of Illlnols, 1980.
[12]
R. Cole, "Parallel Merge Sort," SIAM J. Comput., 17(4), 1988, 770-785.
[13]
R, Cole and U. Vishkin, "Approximate Scheduling, Exact Scheduling, and Applications to Paranel Algorithms," ~Tth FOCS, 1986, 478-491.
[14]
Driscoll, J.R., Sexnak, N., Sleator, D.D., Te~jan, R.E., "Making Data Structures Persistent," 18th STOC, 1986, 109-121.
[15]
H. Edelsbrunner, Algorithm8 in Combinatorial Geometry, Springer-Verlag, 1987.
[16]
H. Edels}~runner, H.A. Maurer, F.P. Preparata, A.L. Rosenberg, E. Welzl, and D. Wood, "Stabbing Line Segments," BIT, 22, 1982, 274-281.
[17]
M.T. Goodrich, "A Polygonal Approach to Hidden- Line Elimination," P.5th Allerton Conference on Comm., Control, and Comput., 1987, 849-858.
[18]
M.T. Goodrich, "Intersecting Line Segments in Parallel with an Output-Sensitive Number of Processors," 1989 SPAA, 127-137.
[19]
M.T. Goodxich, "Applying Parallel Processing Techniques to Classification Problems in Constructive Solid Geometry," 18t A CMoSIAM Syrup. Disc. Alg., 1990, 118-128.
[20]
M.T. Goodrich, M.J. Atallah, and M. Overmars, "An Input-Size/Outpdt-Size r~ade-Off in the Time- Complexity of Rectilinear Hidden Surface Removal," to appear in ICALP '90.
[21]
M.T. Goodrich and S.R. Kosaxaju, "Sorting on a Paxallel Pointer Machine with Applications to Set Expression Evaluation," 29th FOCS, 1989, 190-195.
[22]
R.H. G/itlng and T. Ottmann, "New Algorithms For Special Cases of the Hidden Line Elimination Problem," Syrup. on Theo. A apects of Comp. Sci., 1985, 161-171.
[23]
Kosexaju, S.R., and Delcher, A.L., "Optimal Parallel Evaluation of T~ee-Structured Computations by Raking," Lecture Notes 319: A WOC 88, Springer-Verlag, 1988, 101-110.
[24]
D.T. Lee and F.P. Preparata, "Computational Geometry--A Survey," IEEE Trana. on Computers, C- 33(12), 1984, 872--1101.
[25]
W. Lipski, Jr. and F.P. Preparata, "Finding the Contour of a Union of Iso-Oriented Rectangles," J. Algorithms, 1, 1980, 235-246.
[26]
Matias Y., Vishkin U., "On Parallel Hashing and Integer Sorting", Report UMIACS-TR-90-13, Inst. for Adv. Computer Studies, Univ. of Maryland, 1990.
[27]
K. Mehlhorn, personal communication, October 1989.
[28]
G.L. Miller and J.H. Reif, "Parallel Tree Contraction and its Application," 26th FOCS, 1985, 478-489.
[29]
G.L. Miller and S.H. Teng, "Dynamic Parallel Com- 254-263.
[30]
D.E. Muller and F.P. Prepaxata, "Finding the Intersection of Two Convex Polyhedra," Theo. Comp. Sci., 7(2), 1978, 217-236.
[31]
M.S. Paterson and F.F. Yao, "Binary Partitions with Applications to Hidden Surface Removal and Solid Modeling," 5th Syrup. on Comp. Geom., 1989, 23-32.
[32]
F.P. Prepaxata and M.I. Shamos, Computational Geometry: An Introduction, Springer-Verlag, 1985.
[33]
F.P. Preparata, J.S. Vitter, and M. Yvinec, "Computation of the Axial View of a Set of Isothetic Parallelepipeds," Lab. d'Informatique de L'Ecole Normal Sup&ieure, DEpt. de Math. et d'Info., Report LIENS- 88-1, 1988.
[34]
J.H. P~eif and S. Sen, "An Efficient Output-Sensitive Hidden-Surface Removal Algorithm and Its PexaUelization," ~th Syrup. on Comp. Geom., 193-200, 1988.
[35]
A.A.G. Requicha, "Representations for Rigid Solids: Theory, Methods, and Systems," A CM Computin9 Surveys, 12(4), 1980, 437-464.
[36]
C. R~b, "Parallel line segment intersection reporting," manuscript, 1989.
[37]
A. Schmitt, "On the Time and Space Complexity of Certain Exact Hidden Line Algorithms," Univ. Kazlsruhe, Faku}t~t fftr Informatik, Report 24/81, 1981.
[38]
I.E. Sutherland, R.F. Sproull, and R.A. Schumacker, ~A Characterization of Ten Hidden-Surface Algorithms," Computing Surveys, 6(1), March 1974, 1-25.
[39]
R.E. Taxjan and U. Vishkin, "Finding Biconnected Components and Computing Tree Functions in Loga~ithmlc Parallel Time," SIAM J. Comput., 14, 1985, 862-874.
[40]
R.B. Tilove, "Set Membership Classification: A Unified Approach to Geometric Intersection Problems," IEEE Trana. on Computerz, C~29(10), 1980, 874-883.
[41]
R.B. Tilove, "A Null-Object Detection Algorithm for Constructive Solid Geometry," Comm. A CM, 27(7), 1984, 684-694.
[42]
H. Wagener, "Optimally PaxaUel Algorithms for Convex Hull Determination," manuscript, 1985.
[43]
Widmayer, P., and Wood, D., "Time and Space- Optimal Contour Computation For a Set of Rectangles", In.fo. Proc. Let., 24, 1987, 335-338.
[44]
Wood, D., "The Contour Problem For Rectilinear Polygons", Info. Proc. Let., 19, 1984, 1984, 229-236.

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cover image ACM Conferences
SPAA '90: Proceedings of the second annual ACM symposium on Parallel algorithms and architectures
May 1990
417 pages
ISBN:0897913701
DOI:10.1145/97444
  • Chairman:
  • F. T. Leighton
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 May 1990

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Cited By

View all
  • (2017)Multi-core parallelism for plane sweep algorithms as a foundation for GIS operationsGeoinformatica10.1007/s10707-016-0277-721:1(151-174)Online publication date: 1-Jan-2017
  • (2013)Robust and efficient polygon overlay on parallel stream processorsProceedings of the 21st ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems10.1145/2525314.2525352(304-313)Online publication date: 5-Nov-2013
  • (2011)Geospatial overlay computation on the GPUProceedings of the 19th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems10.1145/2093973.2094051(473-476)Online publication date: 1-Nov-2011
  • (1997)Dynamic Ray Shooting and Shortest Paths in Planar Subdivisions via Balanced Geodesic TriangulationsJournal of Algorithms10.1006/jagm.1995.079723:1(51-73)Online publication date: 1-Apr-1997
  • (1993)Efficient parallel evaluation of CSG tree using fixed number of processorsProceedings on the second ACM symposium on Solid modeling and applications10.1145/164360.164409(137-146)Online publication date: 1-Jun-1993
  • (1993)Dynamic ray shooting and shortest paths via balanced geodesic triangulationsProceedings of the ninth annual symposium on Computational geometry10.1145/160985.161157(318-327)Online publication date: 1-Jul-1993
  • (1992)Parallel techniques for computational geometryProceedings of the IEEE10.1109/5.16341080:9(1435-1448)Online publication date: Jan-1992
  • (1991)Using approximation algorithms to design parallel algorithms that may ignore processor allocation (preliminary version)Proceedings of the 32nd annual symposium on Foundations of computer science10.1109/SFCS.1991.185439(711-722)Online publication date: 1-Sep-1991

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