Publications related to What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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

Nonlinear dynamics of cardiovascular aging

The application of methods drawn from nonlinear and stochastic dynamics to the analysis of cardiovascular time series are applied with particular interests in the identification of changes associated with aging. Scale invariant and scale dependent approach ...

Lancaster University2007

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

In this work, we study the effect of inserting spatially local temporal adaptivity to motion compensated frame adaptive transforms for video coding. Motion compensation aligns the temporal wavelet decomposition along motion trajectories. However, valid tra ...

2004

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

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

Wavelet-based statistical analysis methods for fMRI are able to detect brain activity without smoothing the data. Typically, the statistical inference is performed in the wavelet domain by testing the t-values of each wavelet coefficient; subsequently, an ...

IEEE2004

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

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

We introduce an integrated framework for detecting brain activity from fMRI data, which is based on a spatial discrete wavelet transform. Unlike the standard wavelet-based approach for fMRI analysis, we apply the suitable statistical test procedure in the ...

Elsevier2004

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

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

Microscopy imaging often suffers from limited depth-of-focus. However, the specimen can be “optically sectioned” by moving the object along the optical axis; different areas appear in focus in different images. Extended depth-of-focus is a fusion algorithm ...

IEEE2004

Guest Editorial: Wavelets in Medical Imaging

Michaël Unser

I. Introduction Wavelets are the result of collective efforts that recognized common threads between ideas and concepts that had been independently developed and investigated by distinct research communities. They provide a unifying framework for decompos ...

2003

Fractal additive synthesis

Pietro Polotti

Musical and audio signals in general form a major part of the large amount of data exchange taking place in our information-based society. Transmission of high quality audio signals through narrow-band channels, such as the Internet, requires refined metho ...

EPFL2003

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

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

Statistical Parametric Mapping (SPM) is a widely deployed tool for detecting and analyzing brain activity from fMRI data. One of SPM's main features is smoothing the data by a Gaussian filter to increase the SNR. The subsequent statistical inference is bas ...

SPIE2003

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

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The Monogenic Riesz-Laplace Wavelet Transform

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

Nonlinear dynamics of cardiovascular aging

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Guest Editorial: Wavelets in Medical Imaging

Fractal additive synthesis

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

The Monogenic Riesz-Laplace Wavelet Transform

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

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

Nonlinear dynamics of cardiovascular aging

Guest Editorial: Wavelets in Medical Imaging

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Wavelets Versus Resels in the Context of fMRI: Establishing the Link with SPM

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Fractal additive synthesis