Theory, Computation, and Application of Exponential Splines (Classic Reprint) - Tapa dura

Sinopsis

Excerpt from Theory, Computation, and Application of Exponential Splines

We first outline the theoretical underpinnings of the exponential spline. This development roughly parallels the existing theory for cubic splines. The primary extension lies in the ability of the exponential spline to preserve convexity and monotonicity present in the data.

We next discuss the numerical computation of the exponen tial spline. A variety of numerical devices are employed to produce a stable and robust algorithm. An algorithm for the selection of tension parameters that will produce a shape preserving approximant is developed. A sequence of selected curve - fitting examples are presented which clearly demonstrate the advantages of exponential splines over cubic splines.

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