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Reduction of the number of knots in the approximation by smoothed cubic splines

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Summary

A method of approximation, minimizing the number of knots and satisfying the smoothing and fitting properties of the cubic spline approximation, is suggested. Two modifications of the method are presented. The first approach is specified to provide an adequate simple approximation to the digitalized smooth curve (such as the velocity-depth function in seismology), while the second is more general and may be used to approximate geophysical measurements, which may include errors.

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References

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  1. Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague

    Věnceslava Pretlová

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  1. Věnceslava Pretlová
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Pretlová, V. Reduction of the number of knots in the approximation by smoothed cubic splines. Stud Geophys Geod 25, 61–68 (1981). https://doi.org/10.1007/BF01613561

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  • DOI: https://doi.org/10.1007/BF01613561

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