Title
Smoothing scattered data with a monotone Powell-Sabin spline surface
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.
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 Willemans193.14
Paul Dierckx29612.28