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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Numerical algorithms 10 (1995), S. 401-419 
    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
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