Alternatives to the Exponential Spline in Tension
- 1 October 1979
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 33 (148) , 1273-1281
- https://doi.org/10.2307/2006461
Abstract
A general setting is given for smooth interpolating splines depending on a parameter such that as this parameter approaches infinity the spline converges to the piecewise linear interpolant. The theory includes the standard exponential spline in tension, a rational spline, and several cubic splines. An algorithm is given for one of the cubics; the parameter for this example controls the spacing of new knots which are introduced.Keywords
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