Publications related to Wavelets on the sphere : Implementation and approximations

An automatic system to locate phase-to-ground faults in medium voltage cable networks based on the wavelet analysis of high-frequency signals

The paper presents a microcontroller-based automatic system that applies the continuous wavelet analysis to the measured fault-originated electromagnetic transients in order to locate phase-to-ground faults in power distribution networks composed by coaxia ...

2011

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

Michaël Kalbermatten

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

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

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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

Michaël Unser, Kunal Narayan Chaudhury

We propose a novel method for constructing Hilbert transform (HT) pairs of wavelet bases based on a fundamental approximation-theoretic characterization of scaling functions-the B-spline factorization theorem. In particular, starting from well-localized sc ...

IEEE2009

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

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

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 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

Wavelets on the sphere : Implementation and approximations

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An automatic system to locate phase-to-ground faults in medium voltage cable networks based on the wavelet analysis of high-frequency signals

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

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

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

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms

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

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

The Monogenic Riesz-Laplace Wavelet Transform

The continuous wavelet transform on conic sections

The continous wavelet transform on conic sections

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

An automatic system to locate phase-to-ground faults in medium voltage cable networks based on the wavelet analysis of high-frequency signals

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

The continuous wavelet transform on conic sections

The Monogenic 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

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

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

The continous wavelet transform on conic sections

Construction of Hilbert Transform Pairs of Wavelet Bases and Gabor-Like Transforms