Automatic smoothing by optimal splines

We propose a method that is capable to filter out noise as well as suppress outliers of sampled real functions under fairly general conditions. From an a priori selection of the number of knots that define the adjusting spline, but not their location in that curve, the method automatically determines the adjusting cubic spline in a least-squares optimal sense. The method is fast and easily allows for selection of various possible number of knots, adding a desirable flexibility to the procedure. As an illustration, we apply the method to some typical situations found in geophysical problems.

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Bibliographic Details
Main Authors: Biloti,Ricardo, Santos,Lúcio T., Tygel,Martin
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Geofísica 2003
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0102-261X2003000200006
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