- 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 Scholar
- 2 BOWMAN, F. introduction to Elliptic Functions with Applications. Dover, New York, 1961.Google Scholar
- 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 Scholar
- 4 COURAST, R., AND HILBERT, D. Methods of Mathematical Physics, vol. I. Interscience, New York, 1953.Google Scholar
- 5 DE BooR, C. A Practical Guide to Splines. Springer Verlag, New York, 1978.Google Scholar
- 6 DEN HARTO~, J.P. Strength of Materials. Dover, New York, 1949.Google Scholar
- 7 FAUX, I.D., AND PRATT, M.J. Computational Geometry for Design and Manufacture. Ellis Horwood Ltd., Chichester, England, 1979. Google Scholar
- 8 FORSYTH, A.R. Calculus of Variation, Dover, New York, 1960.Google Scholar
- 9 {GxLo{, W.K. Interactive Computer Graphics: Data Structures, Algorithms, Languages. Prentice-Hall, Englewood Cliffs, N.J., 1978. Google Scholar
- 10 GRADSHTEYN, I.S., AND RYZHIK, I.M. Tables of Integrals, Series, and Products. Academic Press, New York, 1980.Google Scholar
- 11 HILDEBRAND, F.B. Methods of Applied Mathematics. Prentice-Hall, Englewood Cliffs, N.J., 1965.Google Scholar
- 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 Scholar
- 13 KORN, G.A. AND KORN, T.M. Mathematical Handbook for Scientists and Engineers. McGraw- Hill, New York, 1968.Google Scholar
- 14 LAWRENCE, J.D. A Catalog of Special Plane Curves. Dover, New York, 1972.Google Scholar
- 15 MEHLUM, E. Curve and Surface Fitting Based on Variational Criteriae for Smoothness. Central institute for Industrial Research, Oslo, Norway, 1969.Google Scholar
- 16 NEWMAN, W.M., AND SPROULL, R.F. Principles of Interactive Computer Graphics. McGraw- Hill, New York, 1979. Google Scholar
- 17 THOMAS, G.B., AND FINNEY, R.L. Calculus and Analytic Geometry. Addison-Wesley, Reading, Mass., 1980.Google Scholar
- 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 Scholar
Index Terms
- The Curve of Least Energy
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