Abstract
This paper deals with curve fitting by a piecewise cubic polynomial which is continuous with its first derivative. A knot is inserted successively until a certain criterion is satisfied. Then a suboptimal algorithm is applied to minimize the sum of squares of residuals.
Zusammenfassung
Diese Arbeit befaßt sich mit der Kurvenanpassung durch stückweise kubische Polynome, die zusammen mit ihrer ersten Ableitung stetig sind. Es werden sukzessive Knotenpunkte hinzugenommen, bis ein gewisses Kriterium erfüllt ist. Dann wird ein suboptimaler Algorithmus angewendet, um die Fehlerquadratsumme zu verkleinern.
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References
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Ichida, K., Yoshimoto, F. & Kiyono, T. curve fitting by a piecewise cubic polynomial. Computing 16, 329–338 (1976). https://doi.org/10.1007/BF02252081
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DOI: https://doi.org/10.1007/BF02252081