Publications related to Wavelet Theory Demystified

Multiscale analysis of high resolution digital elevation models using the wavelet transform

At the end of the nineties the emergence of high resolution (1 m) digital elevation models (DEMs) settled the context of high precision geomorphological analysis. These new elevation models permitted to reveal structures that remained heretofore undetectab ...

EPFL2010

A Time-Domain Wavelet-Based Approach for Fluorescence Diffuse Optical Tomography

Michaël Unser, Chandra Sekhar Seelamantula

Purpose: In the context of fluorescence diffuse optical tomography, determining the optimal way to exploit the time-resolved information has been receiving much attention and different features of the time-resolved signals have been introduced. In this art ...

AAPM2010

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Jan Skaloud, Adrian Wägli, Heidi Fournier

The main objective of this research is in automating the initialization phase of the MEMS-IMZ/GPS data integration. The motivation for this study is the special case where the before mentioned sensors are worn on a body (e.g. of an athlete) and where the u ...

2009

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

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

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...

Institute of Electrical and Electronics Engineers2009

Studying the Formation of Ni3C from CO and Metallic Ni at T=265 degrees C in Situ Using Ni K-Edge X-ray Absorption Spectroscopy

Christian Ludwig, Rudolf Paul Wilhelm Jozef Struis, Alexander Wokaun

Metallic Ni nanopowder (Ni-0) was monitored during 23 h of carburization (2CO + 3Ni(0) - Ni3C + CO2, T = 265 degrees C) using Ni K-edge X-ray absorption spectroscopy. X-ray diffraction analysis made afterward at room temperature revealed 28 +/- 3% Ni3C amo ...

American Chemical Society2009

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

Self-Similar Random Vector Fields and Their Wavelet Analysis

Michaël Unser, Pouya Dehghani Tafti

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

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

Hydrological model performance and parameter estimation in the wavelet-domain

Bettina Schaefli

This paper proposes a method for rainfall-runoff model calibration and performance analysis in the wavelet-domain by fitting the estimated wavelet-power spectrum (a representation of the time-varying frequency content of a time series) of a simulated disch ...

European Geosciences Union2009

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

Wavelet Theory Demystified

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Multiscale analysis of high resolution digital elevation models using the wavelet transform

A Time-Domain Wavelet-Based Approach for Fluorescence Diffuse Optical Tomography

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Studying the Formation of Ni3C from CO and Metallic Ni at T=265 degrees C in Situ Using Ni K-Edge X-ray Absorption Spectroscopy

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

Self-Similar Random Vector Fields and Their Wavelet Analysis

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

Hydrological model performance and parameter estimation in the wavelet-domain

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Multiscale analysis of high resolution digital elevation models using the wavelet transform

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

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

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

Studying the Formation of Ni3C from CO and Metallic Ni at T=265 degrees C in Situ Using Ni K-Edge X-ray Absorption Spectroscopy

Self-Similar Random Vector Fields and Their Wavelet Analysis

Hydrological model performance and parameter estimation in the wavelet-domain

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

A Time-Domain Wavelet-Based Approach for Fluorescence Diffuse Optical Tomography

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions