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Radial functions on compact support

Published online by Cambridge University Press:  20 January 2009

M. D. Buhmann
M. D. Buhmann
Affiliation:
Mathematik Departement, Eth Zentrum, 8092 Zürich, Switzerland, E-mail address: mdb@math.ethz.ch
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Abstract

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In this paper, radial basis functions that are compactly supported and give rise to positive definite interpolation matrices for scattered data are discussed. They are related to the well-known thin plate spline radial functions which are highly useful in applications for gridfree approximation methods. Also, encouraging approximation results for the compactly supported radial functions are shown.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 33 - 46
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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