Scattered data interpolation and approximation using bivariate C1 piecewise cubic polynomials
Lai, Ming-Jun
Computer Aided Geometric Design, Elsevier, Vol 13, pp.81-88, 1996
We show that if the scattered data over a polygonal domain can be quadrangulated, then the space of bivariate C1 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.
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