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Scattered data interpolation and approximation using bivariate $$C^{1}$$ piecewise cubic polynomials. (English) Zbl 0873.65011
Summary: We show that if the scattered data over a polygonal domain can be quadrangulated, then the space of bivariate $$C^{1}$$ piecewise cubic polynomial functions on a triangulation obtained from the quadrangulation has the full approximation order. We point out that our method is more efficient than the Clough-Tocher scheme.

##### MSC:
 65D17 Computer-aided design (modeling of curves and surfaces) 68U07 Computer science aspects of computer-aided design 65D07 Numerical computation using splines
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##### References:
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