Publications related to Wavelet

Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Here we present a method of constructing steerable wavelet frames in

L _{ 2 }

(\mathbb{R} ^{ d }

) that generalizes and unifies previous approaches, including Simoncelli's pyramid and Riesz wavelets. The motivation for steerable wavelets is the nee ...

Elsevier2014

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

Cycle spinning is a widely used approach for improving the performance of wavelet-based methods that solve linear inverse problems. Extensive numerical experiments have shown that it significantly improves the quality of the recovered signal without increa ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Wavelets: on the virtues and applications of the mathematical microscope

Michaël Unser

The paper provides a short introduction to wavelets and discusses their main applications in microscopy and biological imaging. ...

Wiley-Blackwell2014

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

Michaël Unser, Virginie Sophie Uhlmann, Pedram Pad

We study the issue of localization in the context of isotropic wavelet frames. We define a variance-type measure of localization and propose an algorithm based on calculus of variations to minimize this criterion under the constraint of a tight wavelet fra ...

IEEE2014

A Unified Formulation of Gaussian Versus Sparse Stochastic Processes-Part I: Continuous-Domain Theory

Michaël Unser, Pouya Dehghani Tafti

We introduce a general distributional framework that results in a unifying description and characterization of a rich variety of continuous-time stochastic processes. The cornerstone of our approach is an innovation model that is driven by some generalized ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

Joint Planck and WMAP CMB map reconstruction

Jean-Luc Starck, Anaïs Marie Rassat

We present a novel estimate of the cosmological microwave background (CMB) map by combining the two latest full-sky microwave surveys: WMAP nine-year and Planck PR1. The joint processing benefits from a recently introduced component separation method coine ...

EDP Sciences2014

Generalized Method of Wavelet Moments for Inertial Navigation Filter Design

Jan Skaloud, Stéphane Guerrier, Yannick Stebler

The integration of observations issued from a satellite-based system (GNSS) with an inertial navigation system (INS) is usually performed through a Bayesian filter such as the extended Kalman filter (EKF). The task of designing the navigation EKF is strong ...

Institute of Electrical and Electronics Engineers2014

Influence of atrial substrate on local capture induced by rapid pacing of atrial fibrillation

Jean-Marc Vesin, Vincent Jacquemet, Alexandru Rusu

Preliminary studies showed that the septum area was the only location allowing local capture of both the atria during rapid pacing of atrial fibrillation (AF) from a single site. The present model-based study investigated the influence of atrial substrate ...

Oxford University Press2014

Automatic Feature Learning for Spatio-Spectral Image Classification With Sparse SVM

Devis Tuia

Including spatial information is a key step for successful remote sensing image classification. In particular, when dealing with high spatial resolution, if local variability is strongly reduced by spatial filtering, the classification performance results ...

Ieee-Inst Electrical Electronics Engineers Inc2014

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Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

Wavelets: on the virtues and applications of the mathematical microscope

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

A Unified Formulation of Gaussian Versus Sparse Stochastic Processes-Part I: Continuous-Domain Theory

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Joint Planck and WMAP CMB map reconstruction

Generalized Method of Wavelet Moments for Inertial Navigation Filter Design

Influence of atrial substrate on local capture induced by rapid pacing of atrial fibrillation

Automatic Feature Learning for Spatio-Spectral Image Classification With Sparse SVM

Generalized Method of Wavelet Moments for Inertial Navigation Filter Design

Wavelets: on the virtues and applications of the mathematical microscope

Variational Justification of Cycle Spinning for Wavelet-Based Solutions of Inverse Problems

VOW: Variance-Optimal Wavelets for the Steerable Pyramid

A Unified Formulation of Gaussian Versus Sparse Stochastic Processes-Part I: Continuous-Domain Theory

Harmonic Singular Integrals and Steerable Wavelets in $ L _{ 2 } $ $ (\mathbb{R} ^{ d } $ )

Influence of atrial substrate on local capture induced by rapid pacing of atrial fibrillation

Joint Planck and WMAP CMB map reconstruction

Automatic Feature Learning for Spatio-Spectral Image Classification With Sparse SVM

Statistics of Wavelet Coefficients for Sparse Self-Similar Images