Publications related to The Monogenic Riesz-Laplace Wavelet Transform

Wavelets on the 2-Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We build wavelets on the 2-Hyperboloid. First, we define dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to

SO_0(1,2)

, we define a family of hyperbolic wavelets. The continuous wavelet transform (CW ...

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

Discrete Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discr ...

EUSIPCO2004

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

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Michaël Unser, Thierry Blu

We present complex rotation-covariant multiresolution families aimed for image analysis. Since they are complex-valued functions, they provide the important phase information, which is missing in the discrete wavelet transform with real wavelets. Our basis ...

SPIE2003

Orthogonal Hilbert transform filter banks and wavelets

Martin Vetterli, Thierry Blu

Complex wavelet transforms offer the opportunity to perform directional and coherent processing based on the local magnitude and phase of signals and images. Although denoising, segmentation, and image enhancement are significantly improved using complex w ...

IEEE2003

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

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

Ambulatory system for human motion analysis using a kinematic sensor: Monitoring of daily physical activity in the elderly

Kamiar Aminian, Philippe Robert, Anisoara Ionescu, Bijan Najafi

A new method of physical activity monitoring is presented, which is able to detect body postures (sitting, standing, and lying) and periods of walking in elderly persons using only one kinematic sensor attached to the chest. The wavelet transform, in conju ...

2003

Wavelet Footprints: Theory, Algorithms and Applications

Martin Vetterli, Pier Luigi Dragotti

In recent years, wavelet-based algorithms have been successful in different signal processing tasks. The wavelet trans- form is a powerful tool because it manages to represent both tran- sient and stationary behaviors of a signal with few transform coeffi- ...

2003

The Monogenic Riesz-Laplace Wavelet Transform

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Wavelets on the 2-Hyperboloid

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

Discrete Wavelet Frames on the Sphere

Guest Editorial: Wavelets in Medical Imaging

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Orthogonal Hilbert transform filter banks and wavelets

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

Fractal additive synthesis

Ambulatory system for human motion analysis using a kinematic sensor: Monitoring of daily physical activity in the elderly

Wavelet Footprints: Theory, Algorithms and Applications

Wavelets on the 2-Hyperboloid

Discrete Wavelet Frames on the Sphere

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

Guest Editorial: Wavelets in Medical Imaging

Wavelet Footprints: Theory, Algorithms and Applications

A New Family of Complex Rotation-Covariant Multiresolution Bases in 2D

Orthogonal Hilbert transform filter banks and wavelets

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

Fractal additive synthesis

Ambulatory system for human motion analysis using a kinematic sensor: Monitoring of daily physical activity in the elderly