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Curve fitting by a piecewise cubic polynomial. (English) Zbl 0321.65010


MSC:

65D10 Numerical smoothing, curve fitting
41A15 Spline approximation
Full Text: DOI

References:

[1] Ahlberg, J. H., Nilson, E. N., Walsh, J. L.: The Theory of Splines and Their Applications. London: Academic Press 1967. · Zbl 0158.15901
[2] DeBoor, C., Rice, J. R.: Least squares cubic spline approximation I – fixed knots and II –variable knots. Purdue University Reports CSD TR 20 and 21 (1968).
[3] Payne, J. A.: An automatic curve-fitting package. Numerical Approximation to Functions and Data (Hayes, J. G., ed.), pp. 98–106. London: Athlone Press 1970.
[4] Powell, M. J. D.: Curve fitting by splines in one variable. Ibid.. pp. 65–83.
[5] Ralston, A.: A First Course in Numerical Analysis. New York: McGraw-Hill 1965. · Zbl 0139.31603
[6] Reinsch, C. H.: Smoothing by spline functions. Numer. Math.10, 173–183 (1967). · Zbl 0161.36203 · doi:10.1007/BF02162161
[7] Reinsch, C. H.: Smoothing by spline functions II. Numer. Math.16, 451–454 (1971). · Zbl 1248.65020 · doi:10.1007/BF02169154
[8] Schoenberg, I. J., Whitney, A.: On Pólya frequency functions III. Trans. Amer. Math. Soc.74, 246–259 (1953). · Zbl 0051.33606
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