Reference : L-surface and V-valley for optimal anisotropic 2D smoothing
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Physical, chemical, mathematical & earth Sciences : Multidisciplinary, general & others
L-surface and V-valley for optimal anisotropic 2D smoothing
Frasso, Gianluca mailto [Université de Liège - ULiège > Institut des sciences humaines et sociales > Méthodes quantitatives en sciences sociales >]
Paul, Eilers mailto [Erasmus University Medical Center > Department of biostatistics > > Professor >]
[en] L-surface ; penalties ; tensor product P-splines ; V-valley
[en] We present the L-surface as an attractive generalization of the L-curve framework for the selection of the optimal smoothing parameters in two dimensional applications. It preserves the desirable features of its unidimensional analogous. The optimal amount of smoothing is indicated by the pair of parameters located in the point of maximum (Gaussian) curvature. Locate this point on a discrete parametric surface can be not straightforward. We introduce the V-valley as a simplified selection criterion based on distance minimization.

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