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

Orthogonal Hilbert transform filter banks and wavelets

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

Splines and Wavelets: New Perspectives for Pattern Recognition

Michaël Unser

We provide an overview of spline and wavelet techniques with an emphasis on applications in pattern recognition. The presentation is divided in three parts. In the first one, we argue that the spline representation is ideally suited for all processing task ...

DAGM e. V2003

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Michaël Unser, Thierry Blu

We propose a construction of new wavelet-like bases that are well suited for the reconstruction and processing of optically generated Fresnel holograms recorded on CCD-arrays. The starting point is a wavelet basis of

L _{ 2 }

to which we apply a unitar ...

IEEE2003

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

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

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

An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

Michaël Unser, Thierry Blu, Mathews Jacob

We present a method for the exact computation of the moments of a region bounded by a curve represented by a scaling function or wavelet basis. Using Green's Theorem, we show that the computation of the area moments is equivalent to applying a suitable mul ...

IEEE2001

Fresnelets—A New Wavelet Basis for Digital Holography

Michaël Unser, Thierry Blu

We present a new class of wavelet bases—Fresnelets—which is obtained by applying the Fresnel transform operator to a wavelet basis of

L _{ 2 }

. The thus constructed wavelet family exhibits properties that are particularly useful for analyzing and proc ...

SPIE2001

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

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Orthogonal Hilbert transform filter banks and wavelets

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

Fractal additive synthesis

Splines and Wavelets: New Perspectives for Pattern Recognition

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Wavelet Footprints: Theory, Algorithms and Applications

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

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

An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

Fresnelets—A New Wavelet Basis for Digital Holography

Fractal additive synthesis

Orthogonal Hilbert transform filter banks and wavelets

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

Splines and Wavelets: New Perspectives for Pattern Recognition

Wavelet Footprints: Theory, Algorithms and Applications

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Fresnelets—A New Wavelet Basis for Digital Holography

An Exact Method for Computing the Area Moments of Wavelet and Spline Curves

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

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