Abstract

BILOTI, Ricardo; SANTOS, Lúcio T.  and  TYGEL, Martin. Automatic smoothing by optimal splines. Rev. Bras. Geof. [online]. 2003, vol.21, n.2, pp.173-177. ISSN 0102-261X.  http://dx.doi.org/10.1590/S0102-261X2003000200006.

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.

Keywords : Smoothing; cubic splines.

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