J. Liu, B. Gurrier, C. Denard, A Sensitivity, I. Daubechies, ...
decomposition for regularized solution of inverse heart conduction problems by
The Golden Ratio Encoder (2008)
Daubechies, I., Güntürk, C. S., Wang, Y., Yilmaz, Ö.
This paper proposes a novel Nyquist-rate analog-to-digital (A/D) conversion algorithm which achieves exponential accuracy in the bit-rate despite using imperfect components. The proposed algorithm is...
Comparison of novel regularization techniques in seismic tomography (2008)
Loris, I., Douma, H., Nolet, G., Daubechies, I., Regone, C.
The performance of several recent and existing regularization techniques are compared in the framework of 3D seismic tomography. These include traditional L2 penalties, but also a sparsity promoting...
Exponential precision in A/D conversion with an imprefect quantizer, submitted (2008)
I. Daubechies, R. Devore, C. S. G"unt"urk, V. Vaishampayan
Abstract We analyze mathematically the effect of quantization error in the circuit implementation of Analog to Digital (A/D) converters such as Pulse Code Modulation (PCM) and Sigma-Delta Modulation...
Zentrum für Technomathematik Fachbereich 3 – Mathematik und Informatik (2008)
Variational image restoration by means of wavelets: simultaneous decomposition,deblurring and denoising
Zentrum für Technomathematik Fachbereich 3 – Mathematik und Informatik (2008)
Variational image restoration by means of wavelets: simultaneous decomposition,deblurring and denoising
Image Processing for Artist Identification (2008)
Johnson, C.S., Hendriks, E., Berezhnoy, J.J., Brevdo, E., Huges, S.M., Daubechies, I., ...
Bivariate Segment Approximation and Free Knot Splines: Research Problems 96-4 (2007)
Edited P. Borwein, I. Daubechies, V. Totik, G. Nurnberger
In this note we state some problems on approximation by univariate splines with free knots, bivariate segment approximation, and tensor product splines with variable knot lines. There is a vast...
Edited P. Borwein, I. Daubechies, V. Totik, P. Borwein, T. Erdelyi
We are interested in problems concerning the location and multiplicity of zeros of polynomials with small integer coefficients. We are also interested in some of the approximation theoretic...
Edited P. Borwein, I. Daubechies, V. Totik, D. Gaier
G, and let f be the conformal map of G onto {w: |w|
A Convergence Problem for Rational Interpolants with Preassigned Poles: Research Problem 96-1 (2007)
Edited P. Borwein, I. Daubechies, V. Totik, A. Ambroladze, H. Wallin
C#{#} containing infinity, and f an analytic function in # given by its Taylor series at the point infinity. This series converges inside the maximal disk, centered at infinity, where f is analytic,...
Conjectures Around the Baker--Gammel--Wills Conjecture: Research Problems 97-2 (2007)
Edited P. Borwein, I. Daubechies, V. Totik, H. Stahl
Abstract. The Baker--Gammel-Wills Conjecture states that if a function f is meromorphic in a unit disk D, then there should, at least, exist an infinite subsequence N N such that the subsequence of...
Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints (2007)
Daubechies, I., Fornasier, M., Loris, I.
Regularization of ill-posed linear inverse problems via $\ell_1$ penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the minimizer of such an...
I. Daubechies, M. Fornasier, I. Loris, Dienst Theoretische Natuurkunde
Regularization of ill-posed linear inverse problems via ℓ1 penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the minimizer of such an...
ANTHOINE, S., PIERPAOLI, E., DAUBECHIES, I.
Two approaches are presented to solve the problem of simultaneously deconvolving and separating mixtures of components. The first one uses a statistical description of the wavelet coefficients of the...
ANTHOINE, S., PIERPAOLI, E., DAUBECHIES, I.
Two approaches are presented to solve the problem of simultaneously deconvolving and separating mixtures of components. The first one uses a statistical description of the wavelet coefficients of the...
A/D Conversion with Imperfect Quantizers (2006)
I. Daubechies, R. Devore, S. Güntürk, V. Vaishampayan
We analyze mathematically the effect of quantization error in the circuit implementation of Analog to Digital (A/D) converters such as Pulse Code Modulation (PCM) and Sigma Delta Modulation (Σ∆)....
ANTHOINE, S., PIERPAOLI, E., DAUBECHIES, I.
Nous présentons deux approches pour résoudre le problème de séparation et de déconvolution simultané de mélanges de composantes. La première est basée sur une description statistique des...
Reconstructing Sunyaev-Zeldovich clusters in future CMB experiments (2004)
Pierpaoli, E., Anthoine, S., Huffenberger, K., Daubechies, I.
We present a new method for component separation aimed to extract Sunyaev-Zeldovich (SZ) galaxy clusters from multifrequency maps of Cosmic Microwave Background (CMB) experiments. This method is...
Beta Expansions: A New Approach to Digitally Correct A/D (2002)
I. Daubechies, R. Devore, V. A. Vaishampayan
We introduce a new architecture for pipelined (and also algorithmic) A/D converters that give exponentially accurate conversion using inaccurate comparators. An error analysis of a sigma-delta...
Exponential Precision in A/D Conversion with an Imperfect Quantizer (2001)
I. Daubechies, R. DeVore, C.S. Güntürk, C. S. Gunturk, V. Vaishampayan
We analyze mathematically the eect of quantization error in the circuit implementation of Analog to Digital (A/D) converters such as Pulse Code Modulation (PCM) and Sigma-Delta Modulation (). We show...
Data Compression and Harmonic Analysis (1998)
D.L. Donoho, M. Vetterli, R. A. Devore, I. Daubechies
In this article we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon's R(D) theory in the case of Gaussian stationary...
In this article we review some recent interactions between harmonic analysis and data compression. The story goes back of course to Shannon’s R(D) theory in the case of Gaussian stationary...
Partition du plan temps-fréquence et réallocation (1997)
CHASSANDE-MOTTIN, E., AUGER, F., DAUBECHIES, I., FLANDRIN, P.
Le problème que nous abordons est celui du découpage du plan temps-fréquence en vue d'obtenir une description simplifiée d'un signal multicomposante qui rende possible l'extraction de chacune de...