skip to main content
article
Free Access

Optimal Expected-Time Algorithms for Closest Point Problems

Published:01 December 1980Publication History
First page image

References

  1. 1 AHO, A V, HOPCROFT, J.E., AND ULLMAN, J.D The Design and Analysts of Computer Algorithms. Addison-Wesley, Reading, Mass, 1974. Google ScholarGoogle Scholar
  2. 2 BENTLEY, J.L. Multidimensional divide-and-conquer. Commun. ACM 23, 4 (April 1980), 214- 229 Google ScholarGoogle Scholar
  3. 3 BENTLEY, J L., AND FRIEDMAN, J.H. Fast algorithms for constructing mmtmal spannmg trees in coordinate spaces IEEE Trans. Comput C-27, 2 (Feb. 1978), 97-105.Google ScholarGoogle Scholar
  4. 4 BENTLEY, J.L, AND FRIEDMAN, J.H. Data structures for range searching. Comput. Surv. 11, 4 (Dec. 1979), 398-409. Google ScholarGoogle Scholar
  5. 5 CHERITON, D, AND TARJAN, R E. Finding minimum spanning trees SIAM J. Comput. 5, 4 (Dec 1976), 724-742Google ScholarGoogle Scholar
  6. 6 DOBKIN, D, AND LIPTON, l~ J Multidimensional searching problems. SIAM J. Comput 5, 2 (June 1976), 181-186.Google ScholarGoogle Scholar
  7. 7 FORTUNE, S., AND HOPCROFT, J E A note on Rabm's nearest-neighbor algorithm. Inf. Process. Lett. 8, 1 (Jan. 1979), 20-23.Google ScholarGoogle Scholar
  8. 8 FRIEDMAN, J.H, BENTLEY, J.L., AND FINKEL, R.A. An algorithm for finding best matches m logarithmic expected time. ACM Trans. Math. Softw. 3, 3 (Sept. 1977), 209-226. Google ScholarGoogle Scholar
  9. 9 HORSPOOL, R N. Constructing the Voronol chagram in the plhne Tech Rep SOCS-79.12, Comput Sci School, McGill Umv, Montreal, Canada, July 1979.Google ScholarGoogle Scholar
  10. 10 KIRKPATRICK, D G Efficmnt computation of continuous skeletons. Proc. 20th IEEE Syrup Foundatmns of Computer Sctence, Oct. 1979, pp 18-27.Google ScholarGoogle Scholar
  11. 11 LIPTON, R.J., AND TARJAN, R.E. Application of a planar separator theorem. Proc 18th IEEE Symp. Foundatmns of Computer Science, Oct. 1977, pp. 162-170.Google ScholarGoogle Scholar
  12. 12 MONIER, L. Personal commumcatlon of Lores Morner of the Umversit6 de Parls-Sud to J.L. Bentley, June 1978.Google ScholarGoogle Scholar
  13. 13 PREPARATA, F.P., AND HONG, S.J. Convex hull of fimte sets of points m two and three dimensions. Commun. ACM 20, 2 (Feb. 1977), 87-93. Google ScholarGoogle Scholar
  14. 14 RABIN, M O. Probabilistic algorithms, m Algorithms and Complextty: New Dwectmns and Recent Results, J.F. Traub (Ed.), Academm Press, New York, 1976, pp. 21-39.Google ScholarGoogle Scholar
  15. 15 ROHLF, F J A probabfllStlC mmnnum spannmg tree algorithm. Inf. Process. Lett. 7, 1 (Jan 1978), 44-48.Google ScholarGoogle Scholar
  16. 16 SHAMOS, M.I Computational geometry Ph.D. Dissertation, Yale Umv., New Haven, Conn., May 1978. Google ScholarGoogle Scholar
  17. 17 SHAMOS, M.I, AND HOEY, D. Closest-point problems Proc 16th IEEE Symp. Foundatmns of Computer Scwnce, Oct 1975, pp. 151-162.Google ScholarGoogle Scholar
  18. 18 WEIDE, B.W. Statistical methods m algorithm design and analysis. Ph.D. Dissertation, Carnegm- Mellon Umv, Pittsburgh, Pa, Aug 1978 (Appeared as CMU Comput Sci. Rep. CMU-CS-78- 142 ) Google ScholarGoogle Scholar
  19. 19 YAO, A.C. An O({E{log logl V{) algorithm for findmg mmnnum spanning trees. Inf. Process. Lett. 4, 1 (Sept 1975), 21-23Google ScholarGoogle Scholar
  20. 20 YAO, A C On constructing minimum spanning trees m k-dimensional space and related problems. Res. Rep STAN-CS-77-642, Dep. Comput. Sci., Stanford Univ., Calif., 1977. Google ScholarGoogle Scholar
  21. 21 YUVAL, G. Finding nearest neighbors. Inf. Process. Lett 5, 3 (Aug. 1976), 63-65Google ScholarGoogle Scholar

Index Terms

  1. Optimal Expected-Time Algorithms for Closest Point Problems

            Recommendations

            Comments

            Login options

            Check if you have access through your login credentials or your institution to get full access on this article.

            Sign in

            Full Access

            • Published in

              cover image ACM Transactions on Mathematical Software
              ACM Transactions on Mathematical Software  Volume 6, Issue 4
              Dec. 1980
              162 pages
              ISSN:0098-3500
              EISSN:1557-7295
              DOI:10.1145/355921
              Issue’s Table of Contents

              Copyright © 1980 ACM

              Publisher

              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 1 December 1980
              Published in toms Volume 6, Issue 4

              Permissions

              Request permissions about this article.

              Request Permissions

              Check for updates

              Qualifiers

              • article

            PDF Format

            View or Download as a PDF file.

            PDF

            eReader

            View online with eReader.

            eReader