Smoothing scattered data with a monotone Powell-Sabin spline surface
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.
KeywordsConforming triangulations Bézier ordinates Powell-Sabin splines shape preservation monotonicity
AMS(MOS) subject classification41A15 41A29 65D07
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