Title: Continuous and discrete least-squares approximation by radial basis functions on spheres
Abstract: In this paper we discuss Sobolev bounds on functions that vanish at scattered points on the n-sphere Sn in Rn+1. The Sobolev spaces involved may have fractional as well as integer order. We then apply these results to obtain estimates for continuous and discrete least-squares surface fits via radial basis functions (RBFs). We also address a stabilization or regularization technique known as spline smoothing.
Publication Year: 2006
Publication Date: 2006-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 48
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