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An algorithm for the computation of the exponential spline

  • Handbook Series Approximations
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Summary

Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper. The procedureexsplcoeff calculates the second derivatives of the exponential spline. Using the second derivatives the exponential spline can be evaluated in a stable and efficient manner by the procedureexspl. The limiting cases of the exponential spline, the cubic spline and the linear spline are included. A proceduregenerator is proposed, which computes appropriate tension parameters. The performance of the algorithm is discussed for several examples.

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Authors and Affiliations

  1. Institut für Mathematik der Technischen Universität München, Arcisstr. 21, D-8000, München 2, Germany (Fed. Rep.)

    P. Rentrop

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  1. P. Rentrop
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Editor's Note: In this fascile, prepublication of algorithms from the Approximation series of the Handbook for Automatic Computation is continued. Algorithms are published in ALGOL 60 reference language as approved by the IFIP. Contributions in this series should be styled after the most recently published ones

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Rentrop, P. An algorithm for the computation of the exponential spline. Numer. Math. 35, 81–93 (1980). https://doi.org/10.1007/BF01396372

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  • DOI: https://doi.org/10.1007/BF01396372

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