An algorithm for the computation of the exponential spline

P. Rentrop

doi:10.1007/BF01396372

An algorithm for the computation of the exponential spline

P. Rentrop

Chair of Automotive Technology

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33 Scopus citations

Abstract

Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper. The procedure exsplcoeff 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 procedure exspl. The limiting cases of the exponential spline, the cubic spline and the linear spline are included. A procedure generator is proposed, which computes appropriate tension parameters. The performance of the algorithm is discussed for several examples.

Original language	English
Pages (from-to)	81-93
Number of pages	13
Journal	Numerische Mathematik
Volume	35
Issue number	1
DOIs	https://doi.org/10.1007/BF01396372
State	Published - Mar 1980

Keywords

Subject Classifications: AMS(MOS): 65D05, 65D10, CR:5.13

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10.1007/BF01396372

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abstract = "Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper. The procedure exsplcoeff 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 procedure exspl. The limiting cases of the exponential spline, the cubic spline and the linear spline are included. A procedure generator is proposed, which computes appropriate tension parameters. The performance of the algorithm is discussed for several examples.",

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AB - Procedures for the calculation of the exponential spline (spline under tension) are presented in this paper. The procedure exsplcoeff 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 procedure exspl. The limiting cases of the exponential spline, the cubic spline and the linear spline are included. A procedure generator is proposed, which computes appropriate tension parameters. The performance of the algorithm is discussed for several examples.

KW - Subject Classifications: AMS(MOS): 65D05, 65D10, CR:5.13

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An algorithm for the computation of the exponential spline

Abstract

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