Z-splines: Moment conserving cardinal spline interpolation of compact support for arbitrarily spaced data
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Author
Date
2003-08Type
- Report
ETH Bibliography
yes
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Abstract
The Z-splines are moment conserving cardinal splines of compact support. They are constructed using Hermite-Birkhoff curves that reproduce explicit finite difference operators computed by Taylor series expansions. These curves are unique. The Z-splines are explicit piecewise polynomial interpolation kernels of cumulative regularity and accuracy. They are succesive spline approximations to the perfect reconstruction filter {\it sinc(x)}. It is found that their interpolation properties: quality, regularity, approximation order and discrete moment conservation, are related to a single basic concept: the exact representation of polynomials by a long enough Taylor series expansion. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004605396Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
interpolation; splines; approximation; moment; conservation; piecewise polynomials; Vandermonde matrix; finite differences; Hermite interpolationOrganisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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ETH Bibliography
yes
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