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Non-uniform exponential tension splines. (English) Zbl 1130.65019
Algorithms are constructed and implemented with the purpose of computing univariate splines in tension. The tension is fixed via certain parameters which need not be the same along the spline which is to be evaluated. Both splines and their derivatives can be computed with these algorithms. They are based on knot insertion methods such as the Oslo algorithm. Many examples of splines, exponential tension splines of various smoothness are presented and the accuracy of the iterative method is analysed too.

MSC:
 65D07 Numerical computation using splines 41A50 Best approximation, Chebyshev systems 41A15 Spline approximation
TSPACK
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References:
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