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

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.)

Keywords

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

Reference

Gilles Deslauriers, Serge Dubuc, and Daniel Lemire, Une famille d'ondelettes biorthogonales sur l'intervalle obtenue par un schéma d'interpolation itérative, Ann. Sci. Math. Québec 23 (1999), no. 1, 37-48.

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Software

Java source code for wavelets on the interval

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BibTeX

@article{lemireannales1999
,
   author    = {Gilles Deslauriers and Serge Dubuc and Daniel Lemire},
   title     = {Une famille d'ondelettes biorthogonales sur l'intervalle obtenue par un schéma d'interpolation itérative},
   journal   = {Annales des sciences mathématiques du Québec},
   pages     = {37-48},
   year      = {1999},
   volume    = {23},
   number    = {1},
   url = {http://www.daniel-lemire.com/fr/documents/publications/bordsgen.pdf}
}

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