Article

External-memory computational geometry

Authors:

M. T. Goodrich,

Jyh-Jong Tsay,

D. E. Vengroff,

J. S. VitterAuthors Info & Claims

SFCS '93: Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science

Pages 714 - 723

https://doi.org/10.1109/SFCS.1993.366816

Published: 03 November 1993 Publication History

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Abstract

In this paper we give new techniques for designing efficient algorithms for computational geometry problems that are too large to be solved in internal memory. We use these techniques to develop optimal and practical algorithms for a number of important large-scale problems. We discuss our algorithms primarily in the context of single processor/single disk machines, a domain in which they are not only the first known optimal results but also of tremendous practical value. Our methods also produce the first known optimal algorithms for a wide range of two-level and hierarchical multilevel memory models, including parallel models. The algorithms are optimal both in terms of I/O cost and internal computation.

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Hu XSheng CTao Y(2019)Building an Optimal Point-Location Structure in $$O( sort (n))$$O(sort(n)) I/OsAlgorithmica10.1007/s00453-018-0518-281:5(1921-1937)Online publication date: 1-May-2019
https://dl.acm.org/doi/10.1007/s00453-018-0518-2
Cao BHou CFan JLim EWinslett MSanderson MFu ASun JCulpepper SLo EHo JDonato DAgrawal RZheng YCastillo CSun ATseng VLi C(2017)Covering the Optimal Time Window Over Temporal DataProceedings of the 2017 ACM on Conference on Information and Knowledge Management10.1145/3132847.3132935(687-696)Online publication date: 6-Nov-2017
https://dl.acm.org/doi/10.1145/3132847.3132935
Zhou XWang WXu J(2016)General Purpose Index-Based Method for Efficient MaxRS QueryProceedings, Part I, 27th International Conference on Database and Expert Systems Applications - Volume 982710.1007/978-3-319-44403-1_2(20-36)Online publication date: 5-Sep-2016
https://dl.acm.org/doi/10.1007/978-3-319-44403-1_2
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Index Terms

External-memory computational geometry
1. Theory of computation
  1. Design and analysis of algorithms
  2. Randomness, geometry and discrete structures
    1. Computational geometry

Index terms have been assigned to the content through auto-classification.

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SFCS '93: Proceedings of the 1993 IEEE 34th Annual Foundations of Computer Science

November 1993

710 pages

ISBN:0818643706

Publisher

IEEE Computer Society

United States

Publication History

Published: 03 November 1993

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Hu XSheng CTao Y(2019)Building an Optimal Point-Location Structure in $$O( sort (n))$$O(sort(n)) I/OsAlgorithmica10.1007/s00453-018-0518-281:5(1921-1937)Online publication date: 1-May-2019
https://dl.acm.org/doi/10.1007/s00453-018-0518-2
Cao BHou CFan JLim EWinslett MSanderson MFu ASun JCulpepper SLo EHo JDonato DAgrawal RZheng YCastillo CSun ATseng VLi C(2017)Covering the Optimal Time Window Over Temporal DataProceedings of the 2017 ACM on Conference on Information and Knowledge Management10.1145/3132847.3132935(687-696)Online publication date: 6-Nov-2017
https://dl.acm.org/doi/10.1145/3132847.3132935
Zhou XWang WXu J(2016)General Purpose Index-Based Method for Efficient MaxRS QueryProceedings, Part I, 27th International Conference on Database and Expert Systems Applications - Volume 982710.1007/978-3-319-44403-1_2(20-36)Online publication date: 5-Sep-2016
https://dl.acm.org/doi/10.1007/978-3-319-44403-1_2
Blelloch GHarper R(2015)Cache efficient functional algorithmsCommunications of the ACM10.1145/277682558:7(101-108)Online publication date: 25-Jun-2015
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Arge LThorup M(2015)RAM-Efficient External Memory SortingAlgorithmica10.1007/s00453-015-0032-873:4(623-636)Online publication date: 1-Dec-2015
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Choi DChung CTao Y(2014)Maximizing Range Sum in External MemoryACM Transactions on Database Systems10.1145/262947739:3(1-44)Online publication date: 7-Oct-2014
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Tao Y(2014)Dynamic Ray StabbingACM Transactions on Algorithms10.1145/255915311:2(1-19)Online publication date: 30-Oct-2014
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Hu XSheng CTao YYang YZhou SKhanna S(2013)Output-sensitive skyline algorithms in external memoryProceedings of the twenty-fourth annual ACM-SIAM symposium on Discrete algorithms10.5555/2627817.2627881(887-900)Online publication date: 6-Jan-2013
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Blelloch GHarper R(2013)Cache and I/O efficent functional algorithmsACM SIGPLAN Notices10.1145/2480359.242907748:1(39-50)Online publication date: 23-Jan-2013
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Blelloch GHarper RGiacobazzi RCousot R(2013)Cache and I/O efficent functional algorithmsProceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages10.1145/2429069.2429077(39-50)Online publication date: 23-Jan-2013
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Parallel Write-Efficient Algorithms and Data Structures for Computational Geometry

A workbench for computational geometry

External Memory Algorithms for String Problems

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