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Schumaker, Larry L.; Traas, Cornelis

Fitting scattered data on spherelike surfaces using tensor products of trigonometric and polynomial splines. (English) Zbl 0744.65008

Numer. Math. 60, No. 1, 133-144 (1991).
The authors give a method for fitting a function defined on a spherelike surface \(S\); the approximating surface is constructed using a tensor product of polynomial splines with trigonometric splines. The use of trigonometric splines assures that the resulting surface is continuous and has continuous tangent planes at all points on \(S\). Also, they give two algorithms for computing the coefficients of the tensor fit. Several cases are tested numerically. They confirm the third order of convergence of the approximations.
Reviewer: A.López-Carmona (Granada)

Cited in 21 Documents

MSC:

65D10 Numerical smoothing, curve fitting
65D07 Numerical computation using splines
41A63 Multidimensional problems
41A15 Spline approximation

Keywords:

scattered data fitting; numerical examples; spherelike surface; tensor product of polynomial splines with trigonometric splines; third order of convergence
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References:

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