Lemire (1999) Une famille d'ondelettes biorthogonales sur l'intervalle obtenue par un schéma d'interpolation itérative

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Une famille d'ondelettes biorthogonales sur l'intervalle obtenue par un schéma d'interpolation itérative

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CONTRIBUTORS:

Author:

Lemire, Daniel (Université du Québec à Montréal (UQAM))

JOURNAL:

Ann. Sci. Math. Québec, 23(1), 37 - 48.

YEAR:

1999

PUB TYPE:

Journal Article

SUBJECT(S):

Subdivision schemes, compactly supported wavelets, wavelets on the interval, fundamental functions.

DISCIPLINE:

Mathematics

HTTP:

http://www.ondelette.com/lemire/abstracts/ANNQC1999.html

LANGUAGE:

French

PUB ID:

103-399-837 (Last edited on 2004/02/18 19:30:52 US/Mountain)

SPONSOR(S):

ABSTRACT:
In earlier work, we showed that we could get Cohen-Daubechies-Feauveau biorthogonal wavelets by deriving a certain number of times the fundamental functions of the Lagrange iterative iterpolation. We designed a new iterative interpolation scheme from which we get wavelets on the interval with filters having only rational numbers. As a particular case, we get Donoho's average interpolation. (Full paper in French with extended abstract in English.)

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