HIGH-ACCURACY RECONSTRUCTION FROM WAVELET COEFFICIENTS

Authors
KEINERT F KWON SG
Citation
F. Keinert et Sg. Kwon, HIGH-ACCURACY RECONSTRUCTION FROM WAVELET COEFFICIENTS, Applied and computational harmonic analysis, 4(3), 1997, pp. 293-316
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied and computational harmonic analysis → ACNP
ISSN journal
10635203
Volume
4
Issue
3
Year of publication
1997
Pages
293 - 316
Database
ISI
SICI code
1063-5203(1997)4:3<293:HRFWC>2.0.ZU;2-P
Abstract
The accuracy of the wavelet approximation at resolution h = 2(-n) to a smooth function f is limited by O(h(N)), where N is the number of van ishing moments of the mother wavelet psi. For any positive integer p, we derive a new approximation formula which allows us to recover a smo oth f from its wavelet coefficients with accuracy O(h(p)). Related for mulas for recovering derivatives of f are also given. (C) 1997 Academi c Press.