Commutation for irregular subdivision

Authors
Daubechies, I Guskov, I Sweldens, W
Citation
I. Daubechies et al., Commutation for irregular subdivision, CONSTR APPR, 17(4), 2001, pp. 479-514
Citations number
17
Categorie Soggetti
Mathematics
Journal title
CONSTRUCTIVE APPROXIMATION
ISSN journal
01764276 → ACNP
Volume
17
Issue
4
Year of publication
2001
Pages
479 - 514
Database
ISI
SICI code
0176-4276(2001)17:4<479:CFIS>2.0.ZU;2-6
Abstract
We present a generalization of the commutation formula to irregular subdivi sion schemes and wavelets. We show how, in the noninterpolating case, the d ivided differences need to be adapted to the subdivision scheme. As an exam ple we include the construction of an entire family of biorthogonal compact ly supported irregular knot B-spline wavelets starting from Lagrangian inte rpolation.