Publications related to Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

The detection of cavitation in hydraulic machines by use of ultrasonic signal analysis

Mohamed Farhat, Pascal Damian Odermatt, Michelle Susanne Frei

This presentation describes an experimental approach for the detection of cavitation in hydraulic machines by use of ultrasonic signal analysis. Instead of using the high frequency pulses (typically 1MHz) only for transit time measurement different other s ...

International Association For Hydraulic Research2014

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

Wavelet Shrinkage With Consistent Cycle Spinning Generalizes Total Variation Denoising

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

We introduce a new wavelet-based method for the implementation of Total-Variation-type denoising. The data term is least-squares, while the regularization term is gradient-based. The particularity of our method is to exploit a link between the discrete gra ...

IEEE2012

Rate Distortion Behavior of Sparse Sources

Martin Vetterli

The rate distortion behavior of sparse memoryless sources is studied. These serve as models of sparse signal representations and facilitate the performance analysis of "sparsifying" transforms like the wavelet transform and nonlinear approximation schemes. ...

Institute of Electrical and Electronics Engineers2012

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

We consider the denoising of signals and images using regularized least-squares method. In particular, we propose a simple minimization algorithm for regularizers that are functions of the discrete gradient. By exploiting the connection of the discrete gra ...

Ieee2012

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Michaël Unser, Emrah Bostan, Ulugbek Kamilov

We consider the denoising of signals and images using regularized least-squares method. In particular, we propose a simple minimization algorithm for regularizers that are functions of the discrete gradient. By exploiting the connection of the discrete gr ...

IEEE2012

Optimally Localized Wavelets and Smoothing Kernels

Kunal Narayan Chaudhury

It is well-known that the Gaussian functions and, more generally, their modulations-translations (the Gabor functions) have the unique property of being optimally localized in space and frequency in the sense of Heisenberg's uncertainty principle. In this ...

EPFL2011

Use of Wavelet-Based Damage-Sensitive Features for Structural Damage Diagnosis Using Strong Motion Data

Dimitrios Lignos

This paper introduces three wavelet-based damage-sensitive features (DSFs) extracted from structural responses recorded during earthquakes to diagnose structural damage. Because earthquake excitations are nonstationary, the wavelet transform, which represe ...

2011

The SURE-LET approach to image denoising

Florian Luisier

Denoising is an essential step prior to any higher-level image-processing tasks such as segmentation or object tracking, because the undesirable corruption by noise is inherent to any physical acquisition device. When the measurements are performed by phot ...

EPFL2010

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch, Florian Luisier

We present a fast algorithm for image restoration in the presence of Poisson noise. Our approach is based on (1) the minimization of an unbiased estimate of the MSE for Poisson noise, (2) a linear parametrization of the denoising process and (3) the preser ...

Elsevier2010

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

Graph Chatbot

Chat with Graph Search

The detection of cavitation in hydraulic machines by use of ultrasonic signal analysis

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Wavelet Shrinkage With Consistent Cycle Spinning Generalizes Total Variation Denoising

Rate Distortion Behavior of Sparse Sources

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Optimally Localized Wavelets and Smoothing Kernels

Use of Wavelet-Based Damage-Sensitive Features for Structural Damage Diagnosis Using Strong Motion Data

The SURE-LET approach to image denoising

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

Optimally Localized Wavelets and Smoothing Kernels

The SURE-LET approach to image denoising

Fast Interscale Wavelet Denoising of Poisson-Corrupted Images

The detection of cavitation in hydraulic machines by use of ultrasonic signal analysis

Wavelet Shrinkage With Consistent Cycle Spinning Generalizes Total Variation Denoising

Rate Distortion Behavior of Sparse Sources

Generalized Total Variation Denoising Via Augmented Lagrangian Cycle Spinning With Haar Wavelets

Generalized Total Variation Denoising via Augmented Lagrangian Cycle Spinning with Haar Wavelets

Use of Wavelet-Based Damage-Sensitive Features for Structural Damage Diagnosis Using Strong Motion Data

Statistics of Wavelet Coefficients for Sparse Self-Similar Images