A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures

Journal of the ACM (JACM)

Volumn 17, Issue 4, 1970, Pages 589-602

  Akima, Hiroshi ^a  

^a Institute for Telecommunication Sciences   (United States)

Author keywords

interpolation; polynomial; slope of curve; smooth curve fitting

Indexed keywords

JACOA; MATHEMATICS; POLYNOMIALS; T T;

EID: 0014857654     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/321607.321609     Document Type: Article

References (6)

1. Ackland, T. G. On osculatory interpolation, where the given values of the function are at unequal intervals. J. Inst. Actuar. 49 (1915), 369-375.
2. Akima, H. A method of smooth curve fitting. essa tech. rep. erl 101-ITS 73. U S government printing office, washington, D. C., Jan. 1969.
3. Greville, T. N. E. Spline functions, interpolation, and numerical quadrature. In Mathematical Methods for Digital Computers, Vol. 2, A. Ralston and H. S. Wilf (Eds.), Wiley, New York, 1967, Ch. 8.
4. Hildebrand, F. B. Introduction to Numerical Analysis. McGraw-Hill, New York, 1956, Ch. 2, 3, 4, and 9.
5. Karup, J. On a new mechanical method of graduation. In Transactions of the Second International Actuarial Congress. C. and E. Layton, London, 1899, pp. 78-109.
6. Milne, W. E. Numerical Calculus. Princeton U. Press, Princeton, N. J., 1949, Ch. III.