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The Curve of Least Energy

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Published:01 December 1983Publication History
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References

  1. 1 ABRAMOWITZ, M., AND STEGUN, I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Na. Bur. Stand., Washington, D.C., 1972. Google ScholarGoogle Scholar
  2. 2 BOWMAN, F. introduction to Elliptic Functions with Applications. Dover, New York, 1961.Google ScholarGoogle Scholar
  3. 3 BRADY, M., GRIMSON, W.E.L., AND LANGRIDGE, D.J. Shape encoding and subjective contours. Proc. 1st Annu. Natl. Conf. Artificial Intelligence. (Stanford University, Stanford, Calif.), Aug. 18-21, 1980, pp. 15-17.Google ScholarGoogle Scholar
  4. 4 COURAST, R., AND HILBERT, D. Methods of Mathematical Physics, vol. I. Interscience, New York, 1953.Google ScholarGoogle Scholar
  5. 5 DE BooR, C. A Practical Guide to Splines. Springer Verlag, New York, 1978.Google ScholarGoogle Scholar
  6. 6 DEN HARTO~, J.P. Strength of Materials. Dover, New York, 1949.Google ScholarGoogle Scholar
  7. 7 FAUX, I.D., AND PRATT, M.J. Computational Geometry for Design and Manufacture. Ellis Horwood Ltd., Chichester, England, 1979. Google ScholarGoogle Scholar
  8. 8 FORSYTH, A.R. Calculus of Variation, Dover, New York, 1960.Google ScholarGoogle Scholar
  9. 9 {GxLo{, W.K. Interactive Computer Graphics: Data Structures, Algorithms, Languages. Prentice-Hall, Englewood Cliffs, N.J., 1978. Google ScholarGoogle Scholar
  10. 10 GRADSHTEYN, I.S., AND RYZHIK, I.M. Tables of Integrals, Series, and Products. Academic Press, New York, 1980.Google ScholarGoogle Scholar
  11. 11 HILDEBRAND, F.B. Methods of Applied Mathematics. Prentice-Hall, Englewood Cliffs, N.J., 1965.Google ScholarGoogle Scholar
  12. 12 HORN, B.K.P. The curve of least energy. A. I. Memo 612, Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, Mass., Jan. 1981.Google ScholarGoogle Scholar
  13. 13 KORN, G.A. AND KORN, T.M. Mathematical Handbook for Scientists and Engineers. McGraw- Hill, New York, 1968.Google ScholarGoogle Scholar
  14. 14 LAWRENCE, J.D. A Catalog of Special Plane Curves. Dover, New York, 1972.Google ScholarGoogle Scholar
  15. 15 MEHLUM, E. Curve and Surface Fitting Based on Variational Criteriae for Smoothness. Central institute for Industrial Research, Oslo, Norway, 1969.Google ScholarGoogle Scholar
  16. 16 NEWMAN, W.M., AND SPROULL, R.F. Principles of Interactive Computer Graphics. McGraw- Hill, New York, 1979. Google ScholarGoogle Scholar
  17. 17 THOMAS, G.B., AND FINNEY, R.L. Calculus and Analytic Geometry. Addison-Wesley, Reading, Mass., 1980.Google ScholarGoogle Scholar
  18. 18 ULLMAN, S. Filling-in the gaps: The shape of subjective contours and a model for their generation. Biol. Cybern. 25 (1976), 1-6.Google ScholarGoogle Scholar

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      cover image ACM Transactions on Mathematical Software
      ACM Transactions on Mathematical Software  Volume 9, Issue 4
      Dec. 1983
      135 pages
      ISSN:0098-3500
      EISSN:1557-7295
      DOI:10.1145/356056
      Issue’s Table of Contents

      Copyright © 1983 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 December 1983
      Published in toms Volume 9, Issue 4

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