Publications related to Wavelets on the 2-Sphere: A Group-Theoretical Approach

On duality of canonical representations

Every convex polyhedron in

R^d

admits both H- and V-representations. In both cases, a representation is defined to be canonical if it is minimal and unique up to simple transformations. In general, canonical H- and V-representations are discussed separat ...

2004

Dephasing representation: Unified semiclassical framework for fidelity decay

Jiri Vanicek

This paper presents a unified semiclassical framework for five regimes of quantum fidelity decay and conjectures a new universal regime. The theory is based solely on the statistics of actions in the dephasing representation. Counterintuitively, in this re ...

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

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

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

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

The lexico-smallest representation of convex polyhedra

Stefano Picozzi

Every convex polyhedron in the Euclidean space

R^d

admits both H- and V-representation. For both formats, a representation is canonical if it is minimal and unique up to some elementary operations. In this paper, we extend the usual definition of canonic ...

2003

Representation of the weakly nonlinear propagation in air-filled pipes with Volterra series

Martin Hasler

This article the resolution of a boundary controlled nonlinear partial differential equation with Volterra series. The generalized Burger's equation which is investigated, accounts for the dominant effects of the acoustic propagation in cylindrical ducts i ...

2003

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

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Graph Chatbot

Chat with Graph Search

On duality of canonical representations

Dephasing representation: Unified semiclassical framework for fidelity decay

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

Guest Editorial: Wavelets in Medical Imaging

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

Body movement monitoring device

The lexico-smallest representation of convex polyhedra

Representation of the weakly nonlinear propagation in air-filled pipes with Volterra series

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

Guest Editorial: Wavelets in Medical Imaging

Dephasing representation: Unified semiclassical framework for fidelity decay

On duality of canonical representations

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

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

The lexico-smallest representation of convex polyhedra

Representation of the weakly nonlinear propagation in air-filled pipes with Volterra series

Wavelets on the sphere : Implementation and approximations

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

Body movement monitoring device