[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
10.1145/2582112.2582156acmotherconferencesArticle/Chapter ViewAbstractPublication PagessocgConference Proceedingsconference-collections
tutorial

Progressive Geometric Algorithms

Published: 08 June 2014 Publication History

Abstract

Progressive algorithms are algorithms that, on the way to computing a complete solution to the problem at hand, output intermediate solutions that approximate the complete solution increasingly well. We present a framework for analyzing such algorithms, and develop efficient progressive algorithms for two geometric problems: computing the convex hull of a planar point set, and finding popular places in a set of trajectories.

References

[1]
P.K. Agarwal, S. Har-Peled, and K.R. Varadarajan. Geometric approximation via coresets. In Combinatorial and Computational Geometry, volume 52, pages 1--30. Cambridge University Press, 2005.
[2]
C.B. Barber, D.P. Dobkin, and H. Huhdanpaa. The quickhull algorithm for convex hulls. ACM Trans. Mathematical Software (TOMS), 22(4):469--483, 1996.
[3]
M. Benkert, B. Djordjevic, J. Gudmundsson, and T. Wolle. Finding popular places. Internat. J. Comput. Geom. Appl., 20(1):19--42, 2010.
[4]
T.M. Chan. Faster core-set constructions and data-stream algorithms in fixed dimensions. Comput. Geom. Theory Appl., 35(1):20--35, 2006.
[5]
P. Diaconis and R.L. Graham. Spearman's footrule as a measure of disarray. Journal of the Royal Statistical Society, 39:262--268, 1977.
[6]
J. Giesen, E. Schuberth, and M. Stojaković. Approximate sorting. Fundamenta Informaticae, 90(1):67--72, 2009.
[7]
J. Hershberger and S. Suri. Simplified planar coresets for data streams. In Proc. 11th Scandinavian Workshop Algorithm Theory (SWAT), LNCS 5124, pages 5--16, 2008.
[8]
P. Laube, S. Imfeld, and R Weibel. Discovering relative motion patterns in groups of moving point objects. Internat. J. Geo. Inf. Sci., 19(6):639--668, 2005.
[9]
P. Laube, M. van Kreveld, and S. Imfeld. Finding REMO -- detecting relative motion patterns in geospatial lifelines. In Developments in Spatial Data Handling: Proc. 11th Int. Sympos. Spatial Data Handling, pages 201--215, 2004.
[10]
N. Megiddo. Linear programming in linear time when the dimension is fixed. J. ACM 31(1):114--127, 1984.
[11]
S.J. Russell and S. Zilberstein. Composing real-time systems. In Proc. 12th Int. Joint Conf. on Artificial Intelligence, pages 212--217, 1991.
[12]
S. Zilberstein. Using anytime algorithms in intelligent systems. AI Magazine, 17:73--83, 1996.

Cited By

View all
  • (2023)Estimation and update of betweenness centrality with progressive algorithm and shortest paths approximationScientific Reports10.1038/s41598-023-44392-013:1Online publication date: 10-Oct-2023
  • (2022)Sublinear Computation Paradigm: Constant-Time Algorithms and Sublinear Progressive AlgorithmsIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences10.1587/transfun.2021EAI0003E105.A:3(131-141)Online publication date: 1-Mar-2022
  • (2020)A Progressive Algorithm for the Closest Pair ProblemInternational Journal of Computer Mathematics: Computer Systems Theory10.1080/23799927.2020.1862302(1-12)Online publication date: 10-Dec-2020

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Other conferences
SOCG'14: Proceedings of the thirtieth annual symposium on Computational geometry
June 2014
588 pages
ISBN:9781450325943
DOI:10.1145/2582112
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 the author(s) 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].

In-Cooperation

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 08 June 2014

Permissions

Request permissions for this article.

Check for updates

Qualifiers

  • Tutorial
  • Research
  • Refereed limited

Conference

SOCG'14

Acceptance Rates

SOCG'14 Paper Acceptance Rate 60 of 175 submissions, 34%;
Overall Acceptance Rate 625 of 1,685 submissions, 37%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)5
  • Downloads (Last 6 weeks)0
Reflects downloads up to 14 Dec 2024

Other Metrics

Citations

Cited By

View all
  • (2023)Estimation and update of betweenness centrality with progressive algorithm and shortest paths approximationScientific Reports10.1038/s41598-023-44392-013:1Online publication date: 10-Oct-2023
  • (2022)Sublinear Computation Paradigm: Constant-Time Algorithms and Sublinear Progressive AlgorithmsIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences10.1587/transfun.2021EAI0003E105.A:3(131-141)Online publication date: 1-Mar-2022
  • (2020)A Progressive Algorithm for the Closest Pair ProblemInternational Journal of Computer Mathematics: Computer Systems Theory10.1080/23799927.2020.1862302(1-12)Online publication date: 10-Dec-2020
  • (2016)Efficient and Progressive Group Steiner Tree SearchProceedings of the 2016 International Conference on Management of Data10.1145/2882903.2915217(91-106)Online publication date: 26-Jun-2016

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media