1998
DOI: 10.1006/acha.1997.0232
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Spline Interpolation and Wavelet Construction

Abstract: The method of Dubuc and Deslauriers on symmetric interpolatory subdivision is extended to study the relationship between interpolation processes and wavelet construction. Refinable and interpolatory functions are constructed in stages from B-splines. Their method constructs the filter sequence (its Laurent polynomial) of the interpolatory function as a product of Laurent polynomials. This provides a natural way of splitting the filter for the construction of orthonormal and biorthogonal scaling functions leadi… Show more

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Cited by 5 publications
(1 citation statement)
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“…He From (3.17), an Euler-type formula for ζ(2k + 1) can be constructed (see [28] for more details). Finally, we should mention that there are many interesting applications of Eulerian (Euler-Frobinous) polynomials to spline wavelet analysis, for instance, in [29] and [30].…”
Section: T X Hementioning
confidence: 99%
“…He From (3.17), an Euler-type formula for ζ(2k + 1) can be constructed (see [28] for more details). Finally, we should mention that there are many interesting applications of Eulerian (Euler-Frobinous) polynomials to spline wavelet analysis, for instance, in [29] and [30].…”
Section: T X Hementioning
confidence: 99%