Publications related to The spatial structure of turbulence at production wave-numbers using orthonormal wavelet

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 and footprint sampling of signals with a finite rate of innovation

Martin Vetterli, Pier Luigi Dragotti

In this paper, we consider classes of not bandlimited signals, namely, streams of Diracs and piecewise polynomial signals, and show that these signals can be sampled and perfectly reconstructed using wavelets as sampling kernel. Due to the multiresolution ...

2004

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

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

Bright-field microscopy suffers from a relatively small depth-of-field. Typically, the specimen’s profile covers a range larger than the depth-of-field, and parts of the specimen that lie outside the object plane appear blurred. The specimen can be ‘scanne ...

2004

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

Wavelet Theory Demystified

Michaël Unser, Thierry Blu

In this paper, we revisit wavelet theory starting from the representation of a scaling function as the convolution of a B-spline (the regular part of it) and a distribution (the irregular or residual part). This formulation leads to some new insights on wa ...

IEEE2003

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

Body movement monitoring device

Kamiar Aminian, Pascal Morel, Bijan Najafi, Jean Gramiger

The invention relates to a device and a method for measuring gait parameters. It is based on autonomous sensing units for estimation of spatio-temporal parameters during walking and uses a wavelet transform to compute the values of gait parameters from the ...

2003

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

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

Wavelets on the sphere : Implementation and approximations

Pierre Vandergheynst, Laurent Jacques

We continue the analysis of the continuous wavelet transform on the 2-sphere, introduced in a previous paper. After a brief review of the transform, we define and discuss the notion of directional spherical wavelet, i.e., wavelets on the sphere that are se ...

2002

The spatial structure of turbulence at production wave-numbers using orthonormal wavelet

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Wavelets on the 2-Hyperboloid

Wavelet and footprint sampling of signals with a finite rate of innovation

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

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

Wavelet Theory Demystified

Guest Editorial: Wavelets in Medical Imaging

Body movement monitoring device

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

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

Wavelets on the sphere : Implementation and approximations

Wavelets on the sphere : Implementation and approximations

Wavelet and footprint sampling of signals with a finite rate of innovation

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

Extended Depth-of-Field for Color Images in Light Microscopy: Image Fusion and 3D Visualization

Wavelets on the 2-Hyperboloid

Wavelet Theory Demystified

Guest Editorial: Wavelets in Medical Imaging

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

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

Body movement monitoring device