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Approximation algorithms for convex hulls

Published:01 January 1982Publication History
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References

  1. 1 Bentley, J.L. and Shamos, M.I. Divide and conquer for linear expected time. Information Processing Lett. 7, 2, (Feb. 1978), 87-91.Google ScholarGoogle ScholarCross RefCross Ref
  2. 2 Brown, K. Q. Geometric transforms for fast geometric algorithms. Ph.D. Thesis, Carnegie-Mellon University, December 1979. Carnegie-Mellon Computer Science Tech. Rept. CMU-CS-80- 101. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3 Devroye, L. A note on finding convex hulls via maximal vectors. Information Processing Letts. 11, 1, 53-56.Google ScholarGoogle ScholarCross RefCross Ref
  4. 4 Graham, R.L. An efficient algorithm for determining the convex hull of a finite planar set. Information Processing Lett. 1, 132-133.Google ScholarGoogle ScholarCross RefCross Ref
  5. 5 Lipton, R.J. and Tarjan, R.E. Application of a planar separator theorem. 18th Syrup. Foundations of Computer Science (Oct. 1977), IEEE, pp. 162-170.Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. 6 Preparata, F.P. An optimal real-time algorithm for convex hulls. Comm. ACM 22, 7, (July 1979). 402-405. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. 7 Preparata, F.P. and Hong, S.J. Convex hulls of finite sets in two and three dimensions. Comm. ACM 20, 2, (Feb. 1977), 87-93. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. 8 Shamos, M.I. Computational geometry. Unpublished Ph.D. Thesis, Yale University (May 1978), New Haven, Connecticut. Google ScholarGoogle ScholarDigital LibraryDigital Library
  9. 9 Yao, A.C. On constructing minimum spanning trees in kdimensional space and related problems. Stanford University Computer Science Department Report STAN-CS-77-642, (Dec. 1977). Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. 10 Yao, A. C. A lower bound to finding convex hulls. Stanford University Computer Science Department Report STAN-CS-79-733, (April 1979). Google ScholarGoogle ScholarDigital LibraryDigital Library

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            cover image Communications of the ACM
            Communications of the ACM  Volume 25, Issue 1
            Jan. 1982
            70 pages
            ISSN:0001-0782
            EISSN:1557-7317
            DOI:10.1145/358315
            Issue’s Table of Contents

            Copyright © 1982 ACM

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            Publication History

            • Published: 1 January 1982

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