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

Wavelets on the sphere : Implementation and approximations

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

Measurement of stand-sit and sit-stand transitions using a miniature gyroscope and its application in fall risk evaluation in the elderly

Kamiar Aminian, Philippe Robert, Bijan Najafi

A new method of evaluating the characteristics of postural transition (PT) and their correlation with falling risk in elderly people is described. The time of sit-to-stand and stand-to-sit transitions and their duration were measured using a miniature gyro ...

2002

Continuous Wavelet Transform with Arbitrary Scales and O(N) Complexity

Michaël Unser

Summary The continuous wavelet transform (CWT) is a common signal-processing tool for the analysis of nonstationary signals. We propose here a new B-spline-based method that allows the CWT computation at any scale. A nice property of the algorithm is that ...

Elsevier2002

Modeling and simulation of an impact test using wavelets, analytical solutions and finite elements

Pierre Vandergheynst

An instrumented falling weight impact test is thoroughly investigated in two cases, that of a rebound and that of a rupture in the sample. First, the force signal is analyzed with four methods: the continuous wavelet transform (with different wavelets: der ...

2001

ESMAC-SIAMOC 2001 Joint Congress: Body Postures and Walking Period Estimation Using a Kinematic Sensor: Application for Long Term Monitoring of Physical Activity in Elderly Subjects

Kamiar Aminian, Philippe Robert, Anisoara Ionescu, Bijan Najafi

Introduction: A reliable measurement of the physical activity in everyday life should allow a better assessment of the utility and the relevance of a number of medical treatments. Continuous 24-h recordings of posture and motion can be generally useful in ...

2001

Quantitative Fourier Analysis of Approximation Techniques: Part II—Wavelets

Michaël Unser, Thierry Blu

In a previous paper, we proposed a general Fourier method which provides an accurate prediction of the approximation error, irrespective of the scaling properties of the approximating functions. Here, we apply our results when these functions satisfy the u ...

IEEE1999

Approximation Error for Quasi-Interpolators and (Multi-) Wavelet Expansions

Michaël Unser, Thierry Blu

We investigate the approximation properties of general polynomial preserving operators that approximate a function into some scaled subspace of

L _{ 2 }

via an appropriate sequence of inner products. In particular, we consider integer shift-invariant a ...

Academic Press1999

An objective method for determining principal time scales of coherent eddy structures using orthonormal wavelets

Marc Parlange, Gabriel George Katul

A new, parameter-free method, based on orthonormal wavelet expansions is proposed for calculating the principal time scale of coherent structures in atmospheric surface layer measurements. These organized events play an important role in the exchange of he ...

1999

Combining Wavelet-domain Hidden Markov Trees with Hidden Markov Models

In this paper, the concept of Wavelet-domain Hidden Markov Trees (WHMT) is introduced to Automatic Speech Recognition. WHMT are a convenient means to model the structure of wavelet feature vectors, as wavelet coefficients can be interpreted as nodes in a b ...

IDIAP1999

Statistical Analysis of Functional MRI Data in the Wavelet Domain

Michaël Unser

The use of the wavelet transform is explored for the detection of differences between brain functional magnetic resonance images (fMRI's) acquired under two different experimental conditions. The method benefits from the fact that a smooth and spatially lo ...

IEEE1998

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

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Wavelets on the sphere : Implementation and approximations

Measurement of stand-sit and sit-stand transitions using a miniature gyroscope and its application in fall risk evaluation in the elderly

Continuous Wavelet Transform with Arbitrary Scales and O(N) Complexity

Modeling and simulation of an impact test using wavelets, analytical solutions and finite elements

ESMAC-SIAMOC 2001 Joint Congress: Body Postures and Walking Period Estimation Using a Kinematic Sensor: Application for Long Term Monitoring of Physical Activity in Elderly Subjects

Quantitative Fourier Analysis of Approximation Techniques: Part II—Wavelets

Approximation Error for Quasi-Interpolators and (Multi-) Wavelet Expansions

An objective method for determining principal time scales of coherent eddy structures using orthonormal wavelets

Combining Wavelet-domain Hidden Markov Trees with Hidden Markov Models

Statistical Analysis of Functional MRI Data in the Wavelet Domain

Wavelets on the sphere : Implementation and approximations

Measurement of stand-sit and sit-stand transitions using a miniature gyroscope and its application in fall risk evaluation in the elderly

Continuous Wavelet Transform with Arbitrary Scales and O(N) Complexity

Modeling and simulation of an impact test using wavelets, analytical solutions and finite elements

ESMAC-SIAMOC 2001 Joint Congress: Body Postures and Walking Period Estimation Using a Kinematic Sensor: Application for Long Term Monitoring of Physical Activity in Elderly Subjects

Approximation Error for Quasi-Interpolators and (Multi-) Wavelet Expansions

Statistical Analysis of Functional MRI Data in the Wavelet Domain

An objective method for determining principal time scales of coherent eddy structures using orthonormal wavelets

Combining Wavelet-domain Hidden Markov Trees with Hidden Markov Models

Quantitative Fourier Analysis of Approximation Techniques: Part II—Wavelets