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Publications Influence

Ten Lectures on Wavelets

- I. Daubechies, C. Heil
- Mathematics, Computer Science
- 1 May 1992

TLDR

14,655 940

Orthonormal bases of compactly supported wavelets

- I. Daubechies
- Mathematics
- 1 October 1988

We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We start by reviewing the concept… Expand

8,529 504- PDF

An Iterative Thresholding Algorithm for Linear Inverse Problems with a Sparsity Constraint

- I. Daubechies, M. Defrise, C. D. Mol
- Mathematics
- 10 July 2003

We consider linear inverse problems where the solution is assumed to have a sparse expansion on an arbitrary preassigned orthonormal basis. We prove that replacing the usual quadratic regularizing… Expand

3,950 373- PDF

The wavelet transform, time-frequency localization and signal analysis

- I. Daubechies
- Mathematics, Computer Science
- IEEE Trans. Inf. Theory
- 1 September 1990

TLDR

5,844 237- PDF

Image coding using wavelet transform

- M. Antonini, M. Barlaud, P. Mathieu, I. Daubechies
- Mathematics, Computer Science
- IEEE Trans. Image Process.
- 1 April 1992

TLDR

3,951 151- PDF

Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool

- I. Daubechies, J. Lu, H. Wu
- Mathematics
- 1 March 2011

Abstract The EMD algorithm is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of components, well separated in the… Expand

993 133- PDF

Factoring wavelet transforms into lifting steps

- I. Daubechies, W. Sweldens
- 1998

This article is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple… Expand

1,054 128

Biorthogonal bases of compactly supported wavelets

- Albert Cohen, I. Daubechies, J. Feauveau
- Mathematics
- 1 June 1992

Orthonormal bases of compactly supported wavelet bases correspond to subband coding schemes with exact reconstruction in which the analysis and synthesis filters coincide. We show here that under… Expand

2,739 98- PDF

Iteratively reweighted least squares minimization for sparse recovery

- I. Daubechies, R. Devore, M. Fornasier, C. S. Gunturk
- Mathematics
- 3 July 2008

Under certain conditions (known as the restricted isometry property, or RIP) on the mN matrix ˆ (where m<N ), vectors x 2 R N that are sparse (i.e., have most of their entries equal to 0) can be… Expand

1,007 88- PDF

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