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

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...

Institute of Electrical and Electronics Engineers2009

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Jan Skaloud, Adrian Wägli, Heidi Fournier

The main objective of this research is in automating the initialization phase of the MEMS-IMZ/GPS data integration. The motivation for this study is the special case where the before mentioned sensors are worn on a body (e.g. of an athlete) and where the u ...

2009

Hydrological model performance and parameter estimation in the wavelet-domain

Bettina Schaefli

This paper proposes a method for rainfall-runoff model calibration and performance analysis in the wavelet-domain by fitting the estimated wavelet-power spectrum (a representation of the time-varying frequency content of a time series) of a simulated disch ...

European Geosciences Union2009

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Thierry Blu, Florian Luisier

We propose a vector/matrix extension of our denoising algorithm initially developed for grayscale images, in order to efficiently process multichannel (e.g., color) images. This work follows our recently published SURE-LET approach where the denoising algo ...

Institute of Electrical and Electronics Engineers2008

Continuous Wavelet Transform on the Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

In this paper we build a Continuous Wavelet Transform (CWT) on the upper sheet of the 2-hyperboloid

H_+^2

. First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO ...

2007

A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding

Michaël Unser, Thierry Blu, Florian Luisier

This paper introduces a new approach to orthonormal wavelet image denoising. Instead of postulating a statistical model for the wavelet coefficients, we directly parametrize the denoising process as a sum of elementary nonlinear processes with unknown weig ...

Institute of Electrical and Electronics Engineers2007

Image denoising by pointwise thresholding of the undecimated wavelet coefficients: A global sure optimum

Thierry Blu, Florian Luisier

We devise a new undecimated wavelet thresholding for denoising images corrupted by additive Gaussian white noise. The first key point of our approach is the use of a linearly parameterized pointwise thresholding function. The second key point consists in o ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2007

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu, Riccardo Accolla

Many experimental paradigms in biology aim at studying the response to coordinated stimuli. In dynamic imaging experiments, the observed data is often not straightforward to interpret and not directly measurable in a quantitative fashion. Consequently, the ...

IEEE2006

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

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Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Hydrological model performance and parameter estimation in the wavelet-domain

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

Continuous Wavelet Transform on the Hyperboloid

A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding

Image denoising by pointwise thresholding of the undecimated wavelet coefficients: A global sure optimum

Wavelets on non-Euclidean manifolds

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Continuous Wavelet Transform on the Hyperboloid

Wavelets on non-Euclidean manifolds

SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding

A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding

Image denoising by pointwise thresholding of the undecimated wavelet coefficients: A global sure optimum

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Hydrological model performance and parameter estimation in the wavelet-domain

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression