Abstract
An algorithm is presented for smoothing arbitrarily distributed noisy measurement data with a Powell-Sabin spline surface that satisfies necessary and sufficient monotonicity conditions. The Powell-Sabin spline is expressed as a linear combination of locally supported basis functions used in their Bernstein-Bézier representation. Numerical examples are given to illustrate the performance of the algorithm.
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Communicated by M. Gasca
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Willemans, K., Dierckx, P. Smoothing scattered data with a monotone Powell-Sabin spline surface. Numer Algor 12, 215–231 (1996). https://doi.org/10.1007/BF02141749
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DOI: https://doi.org/10.1007/BF02141749