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Radial basis function

Known as: Basis, RBF, Radial basis functions 
A radial basis function (RBF) is a real-valued function whose value depends only on the distance from the origin, so that ; or alternatively on the… Expand
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Highly Cited
2009
Highly Cited
2009
  • M. Buhmann
  • Cambridge monographs on applied and computational…
  • 2009
  • Corpus ID: 122445786
Preface 1. Introduction 2. Summary of methods and applications 3. General methods for approximation and interpolation 4. Radial… Expand
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Highly Cited
2003
Highly Cited
2003
From the Publisher: "In many areas of mathematics, science and engineering, from computer graphics to inverse methods to signal… Expand
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Highly Cited
2002
Highly Cited
2002
A point interpolation meshless method is proposed based on combining radial and polynomial basis functions. Involvement of radial… Expand
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Highly Cited
2001
Highly Cited
2001
We use polyharmonic Radial Basis Functions (RBFs) to reconstruct smooth, manifold surfaces from point-cloud data and to repair… Expand
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Highly Cited
2001
Highly Cited
2001
AbstractWe introduce a method that aims to find the global minimum of a continuous nonconvex function on a compact subset of… Expand
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Highly Cited
1999
Highly Cited
1999
  • S. Rippa
  • Adv. Comput. Math.
  • 1999
  • Corpus ID: 3330803
The accuracy of many schemes for interpolating scattered data with radial basis functions depends on a shape parameter c of the… Expand
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Highly Cited
1996
Highly Cited
1996
This document is an introduction to radial basis function RBF networks a type of arti cial neural network for application to… Expand
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Highly Cited
1995
Highly Cited
1995
For interpolation of scattered multivariate data by radial basis functions, an “uncertainty relation” between the attainable… Expand
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Highly Cited
1993
Highly Cited
1993
This paper concerns conditions for the approximation of functions in certain general spaces using radial-basis-function networks… Expand
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Highly Cited
1988
Highly Cited
1988
Abstract : The relationship between 'learning' in adaptive layered networks and the fitting of data with high dimensional… Expand
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