Spline Fit Made Easy

IEEE Transactions on Computers

Volumn C-25, Issue 5, 1976, Pages 522-527

  Liou, Ming L ^a  

^a LUCENT TECHNOLOGIES   (United States)

Author keywords

Approximation; curve fitting; interpolation; numerical algoriihm; spline function

Indexed keywords

SPLINE FUNCTIONS;

COMPUTER PROGRAMMING - SUBROUTINES;

MATHEMATICAL TECHNIQUES;

EID: 0016950035     PISSN: 00189340     EISSN: None     Source Type: Journal    
DOI: 10.1109/TC.1976.1674640     Document Type: Article

References (12)

1. I. J. Schoenberg, “Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions,” Quart. Appl. Math., 4 (1946), Part A, pp. 45-99; Part B, pp. 112–141.
2. J. H. Ahlberg, N. NIlson, and J. L. Walsh, The Theory of Splines and Their Applications, Academic Press, New York, 1967.
3. T. N. E. Greville (ed.), Theory and Application of Spline Functions, Academic Press, New York, 1969.
4. M. H. Schultz, Spline Analysis, Prentice-Hall, Englewood Cliffs, N. J., 1973.
5. A. W. Nutbourne, R. B. Morris, and C. M. Hollins, “A Cubic Spline Package. Part 1―The User's Guide,” Computer Aided Design, Vol. 4, No.5, October, 1972, pp. 228–238.
6. A. W. Nutbourne, “A Cubic Spline Package. Part 2―The Mathematics,” Computer Aided Design, Vol. 5, No.1, Jan. 1973, pp. 7–13.
7. J. H. Wilkinson, The Algebraic Eigenvalue Problems, Clarendon Press, Oxford, 1965.
8. D. G. Schweikert, “An Interpolation Curve Using a Spline in Tension,” Journal of Mathematics and Physics, Vol. 45, No.3, Sept. 1966, pp. 312–317.
9. T. N. E. Greville, “Table for Third-Degree Spline Interpolation with Equally Spaced Arguments,” Mathematics gof Computation, Vol. 24, 1970, pp. 179–183.
10. C. DeBoor, “On Calculating with B-Splines,” Journal of Approximation Theory, Vol. 6, 1972, pp. 50–62.
11. I. J. Schoenberg, Cardinal Spline Interpolation, No. 12, Regional Conference series in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1973.
12. M. L. Liou and C. F. Kurth, “Computation of Group Delay from Attenuation Characteristics Via Hilbert Transformation and Spline Function and Its Application to Filter Design,” IEEE Trans. Circuits and Systems, vol. CAS-22, Sept. 1975.