Continuous and discrete least-squares approximation by radial basis functions on spheres Academic Article

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. 2006 Elsevier Inc. All rights reserved.

authors

• Narcowich, Francis
• Ward, Joseph

published proceedings

• JOURNAL OF APPROXIMATION THEORY

author list (cited authors)

• Le Gia, Q. T., Narcowich, F. J., Ward, J. D., & Wendland, H.

citation count

• 37

complete list of authors

• Le Gia, QT||Narcowich, FJ||Ward, JD||Wendland, H

publication date

• January 2006

publisher

• Elsevier  Publisher

published in

• Journal of Approximation Theory  Journal

keywords

• Error Estimates
• Norming Sets
• Radial Basis Functions
• Scattered Data

Digital Object Identifier (DOI)

• 10.1016/j.jat.2006.03.007

start page

• 124

end page

• 133

volume

• 143

issue

• 1