The undecimated wavelet decomposition and its reconstruction

Jean Luc Starck; Jalal Fadili; Fionn Murtagh

doi:10.1109/TIP.2006.887733

The undecimated wavelet decomposition and its reconstruction

Jean Luc Starck, Jalal Fadili, Fionn Murtagh

Research output: Contribution to journal › Article › peer-review

443 Citations (Scopus)

Abstract

This paper describes the undecimated wavelet transform and its reconstruction. In the first part, we show the relation between two well known undecimated wavelet transforms, the standard undecimated wavelet transform and the isotropic undecimated wavelet transform. Then we present new filter banks specially designed for undecimated wavelet decompositions which have some useful properties such as being robust to ringing artifacts which appear generally in wavelet-based denoising methods. A range of examples illustrates the results.

Original language	English
Pages (from-to)	297-309
Number of pages	13
Journal	IEEE Transactions on Image Processing
Volume	16
Issue number	2
Early online date	15 Jan 2007
DOIs	https://doi.org/10.1109/TIP.2006.887733
Publication status	Published - 1 Feb 2007
Externally published	Yes

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The undecimated wavelet decomposition and its reconstruction

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