ISSN:
1572-9265
Keywords:
Radial basis functions
;
thin-plate splines
;
convolution kernels
;
41A30
;
41A63
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract Quasi-interpolation using radial basis functions has become a popular method for constructing approximations to continuous functions in many space dimensions. In this paper we discuss a procedure for generating kernels for quasi-interpolation, using functions which have series expansions involving terms liker α logr. It is shown that such functions are suitable if and only if α is a positive even integer and the spatial dimension is also even.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02140777