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Original scientific paper

Evaluation of tension splines

I. Beroš
M. Marušić

Full text: english pdf 147 Kb

page 73-81

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Tension spline of order $k$ is a function that, for a given partition
\mbox{$x_0 Most articles deal with tension splines of order four, applied to the
problem of convex (or monotone) interpolation or to the two-point boundary value problem for ordinary differential equations. Higher order tension splines are described in several papers, but no application is given. Possible reason for this is a lack of an appropriate algorithm for their evaluation.
Here we present an explicit algorithm for evaluation of tension splines of arbitrary order. We especially consider stable and accurate computation of hyperbolic-like functions used in our algorithm.


tension spline, B-spline, evaluation

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