Multiresolution approximation using shifted splines
نویسندگان
چکیده
منابع مشابه
Multiresolution approximation using shifted splines
We consider the construction of least squares pyramids using shifted polynomial spline basis functions. We derive the pre and postfilters as a function of the degree n and the shift parameter . We show that the underlying projection operator is entirely specified by two transfer functions acting on the even and odd signal samples, respectively. We introduce a measure of shift invariance and sho...
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A new multivariate approximation scheme to scattered data on arbitrary bounded domains in Rd is developed. The approximant is selected from a space spanned (essentially) by corresponding translates of the ‘shifted’ thin-plate spline (‘essentially,’ since the space is augmented by certain functions in order to eliminate boundary effects). This scheme applies to noisy data as well as to noiseless...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 1998
ISSN: 1053-587X
DOI: 10.1109/78.709545