The undecimated wavelet decomposition and its reconstruction

Jean Luc Starck, Jalal Fadili, Fionn Murtagh

Research output: Contribution to journalArticlepeer-review

438 Citations (Scopus)


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 languageEnglish
Pages (from-to)297-309
Number of pages13
JournalIEEE Transactions on Image Processing
Issue number2
Early online date15 Jan 2007
Publication statusPublished - 1 Feb 2007
Externally publishedYes


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