Publications related to Morlet wavelet

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Ildar Khalidov

Tomographic reconstruction from positron emission tomography (PET) data is an ill-posed problem that requires regularization. An attractive approach is to impose an

\ell_{ 1 }

-regularization constraint, which favors sparse solutions in the wavelet dom ...

Institute of Electrical and Electronics Engineers2008

Innovation modelling and wavelet analysis of fractal processes in bio-imaging

Michaël Unser, Dimitri Nestor Alice Van De Ville, Pouya Dehghani Tafti

Growth and form in biology are often associated with some level of fractality. Fractal characteristics have also been noted in a number of imaging modalities. These observations make fractal modelling relevant in the context of bio-imaging. ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

The continuous wavelet transform on conic sections

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We review the known construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two- sheeted hyperboloid, emphasizing the similarities between the two cases. Finally we give s ...

2008

The continous wavelet transform on conic sections

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

We review the coherent state or group-theoretical construction of the continuous wavelet transform (CWT) on the two-sphere. Next we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the ...

2008

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain l(1)-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a "thresholded Landweber" (TL) algorithm. While this iterative procedure is simple to implement, it is known to converge ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage, Katarina Balac

The “Marr wavelet pyramid” is a wavelet decomposition that implements a multiscale version of the complex gradient-Laplace operator. It is closely linked to a multiresolution analysis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) and it has a fast filterbank im ...

EURASIP2008

Innovation Modelling and Wavelet Analysis of Fractal Processes in Bio-Imaging

Michaël Unser, Dimitri Nestor Alice Van De Ville, Pouya Dehghani Tafti

Growth and form in biology are often associated with some level of fractality. Fractal characteristics have also been noted in a number of imaging modalities. These observations make fractal modelling relevant in the context of bio-imaging. In this paper, ...

IEEE2008

Non-Gaussianity analysis on local morphological measures of WMAP data

Pierre Vandergheynst, Yves Wiaux

The decomposition of a signal on the sphere with the steerable wavelet constructed from the second Gaussian derivative gives access to the orientation, signed-intensity and elongation of the signal’s local features. In the present work, the non-Gaussianity ...

2008

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Bettina Schaefli

Extreme hydrological events are often triggered by exceptional co-variations of the relevant hydrometeorological processes and in particular by exceptional co-oscillations at various temporal scales. Wavelet and cross wavelet spectral analysis offers promi ...

Elsevier2007

WSPM: Wavelet-Based Statistical Parametric Mapping

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

Recently, we have introduced an integrated framework that combines wavelet-based processing with statistical testing in the spatial domain. In this paper, we propose two important enhancements of the framework. First, we revisit the underlying paradigm; i. ...

Elsevier2007

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Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Innovation modelling and wavelet analysis of fractal processes in bio-imaging

The continuous wavelet transform on conic sections

The continous wavelet transform on conic sections

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

Innovation Modelling and Wavelet Analysis of Fractal Processes in Bio-Imaging

Non-Gaussianity analysis on local morphological measures of WMAP data

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

WSPM: Wavelet-Based Statistical Parametric Mapping

A fast thresholded landweber algorithm for general wavelet bases: Application to 3D deconvolution microscopy

Innovation Modelling and Wavelet Analysis of Fractal Processes in Bio-Imaging

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

The continous wavelet transform on conic sections

The Marr Wavelet Pyramid and Multiscale Directional Image Analysis

Innovation modelling and wavelet analysis of fractal processes in bio-imaging

The continuous wavelet transform on conic sections

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Non-Gaussianity analysis on local morphological measures of WMAP data

WSPM: Wavelet-Based Statistical Parametric Mapping