Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
1996 | 10.1007/BF02141749 | Numerical Algorithms |
Keywords | Field | DocType |
Conforming triangulations,Bézier ordinates,Powell-Sabin splines,shape preservation,monotonicity,41A15,41A29,65D07 | Spline (mathematics),Mathematical optimization,Thin plate spline,Spline interpolation,Mathematical analysis,Smoothing spline,Interpolation,M-spline,Smoothing,Basis function,Mathematics | Journal |
Volume | Issue | ISSN |
12 | 1 | 1017-1398 |
Citations | PageRank | References |
3 | 1.27 | 0 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Karin Willemans | 1 | 9 | 3.14 |
Paul Dierckx | 2 | 96 | 12.28 |