Publications related to Fourier and wavelet transform analysis, a tool for visualising regular patterns in DNA

Self-Similar Random Vector Fields and Their Wavelet Analysis

This paper is concerned with the mathematical characterization and wavelet analysis of self-similar random vector fields. The study consists of two main parts: the construction of random vector models on the basis of their invariance under coordinate trans ...

SPIE2009

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

Yves Bellouard

We demonstrate a small device with a microfluidic channel and an integrated waveguide that functions a compact rudimentary tool for the detection, real-time monitoring, and potentially classification of algae. In order to reduce parasitic noise the micro-d ...

2009

Multi-Lead Wavelet-Based ECG Delineation on a Wearable Embedded Sensor Platform

David Atienza Alonso, Francisco Javier Rincon Vallejos, Nadia Khaled, Nicolas Boichat

This work is dedicated to the sensible optimization and porting of a multi-lead (ML) wavelet-transform (WT)-based electrocardiogram (ECG) wave delineator to a state-of-the-art commercial wearable embedded sensor platform with limited processing and storage ...

2009

Invariances, Laplacian-Like Wavelet Bases, and the Whitening of Fractal Processes

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

In this contribution, we study the notion of affine invariance (specifically, invariance to the shifting, scaling, and rotation of the coordinate system) as a starting point for the development of mathematical tools and approaches useful in the characteriz ...

IEEE2009

Wavelet-Regularized Reconstruction for Rapid MRI

Michaël Unser, Dimitri Nestor Alice Van De Ville, Cédric René Jean Vonesch, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We propose a reconstruction scheme adapted to MRI that takes advantage of a sparsity constraint in the wavelet domain. We show that artifacts are significantly reduced compared to conventional reconstruction methods. Our approach is also competitive with ...

IEEE2009

The Monogenic Riesz-Laplace Wavelet Transform

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

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

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

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Mario Paolone

The paper presents a fault location procedure for distribution networks based on the wavelet analysis of the fault-generated traveling waves. In particular, the proposed procedure implements the continuous wavelet analysis applied to the voltage waveforms ...

2008

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

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

Michaël Unser, Dimitri Nestor Alice Van De Ville

Model-based statistical analysis of functional magnetic resonance imaging (fMRI) data relies on the general linear model and statistical hypothesis testing. Due to the large number of intracranial voxels, it is important to deal with the multiple compariso ...

IEEE2008

Fourier and wavelet transform analysis, a tool for visualising regular patterns in DNA

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Self-Similar Random Vector Fields and Their Wavelet Analysis

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

Multi-Lead Wavelet-Based ECG Delineation on a Wearable Embedded Sensor Platform

Invariances, Laplacian-Like Wavelet Bases, and the Whitening of Fractal Processes

Wavelet-Regularized Reconstruction for Rapid MRI

The Monogenic Riesz-Laplace Wavelet Transform

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

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

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

Towards a femtosecond laser micro-machined optofluidic device for distinguishing algae species

Multi-Lead Wavelet-Based ECG Delineation on a Wearable Embedded Sensor Platform

Invariances, Laplacian-Like Wavelet Bases, and the Whitening of Fractal Processes

Self-Similar Random Vector Fields and Their Wavelet Analysis

Continuous-wavelet transform for fault location in distribution power networks: Definition of mother wavelets inferred from fault originated transients

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

The Monogenic Riesz-Laplace Wavelet Transform

Wavelet-Regularized Reconstruction for Rapid MRI