Publications related to Morlet wavelet

Wavelet Primal Sketch Representation Using Marr Wavelet Pyramid and Its Reconstruction

Michaël Unser, Dimitri Nestor Alice Van De Ville

Based on the class of complex gradient-Laplace operators, we show the design of a non-separable two-dimensional wavelet basis from a single and analytically defined generator wavelet function. The wavelet decomposition is implemented by an efficient FFT-ba ...

SPIE2009

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis

Michaël Unser, Kunal Narayan Chaudhury

We provide an amplitude-phase representation of the dual-tree complex wavelet transform by extending the fixed quadrature relationship of the dual-tree wavelets to arbitrary phase-shifts using the fractional Hilbert transform (fHT). The fHT is a generaliza ...

IEEE2009

Combining visible and near-infrared images for realistic skin smoothing

Sabine Süsstrunk, Nathalie Barbuscia

Skin tone images, portraits in particular, are of tremendous importance in digital photography, but a number of factors, such as pigmentation irregularities (e.g., moles, freckles), irritation, roughness, or wrinkles can reduce their appeal. Moreover, such ...

2009

Automated Processing of GPS/MEMS-IMU Data for Position, Velocity and Attitude Determination

This master thesis deals with the problematic of the integration of Global Positioning System (GPS) measurements with inertial data acquired by a Micro-Electro-Mechanical System (MEMS) Inertial Measurement Units (IMU). This technology is employed for the p ...

2009

Wavelet domain Bayesian denoising of string signal in the cosmic microwave background

Pierre Vandergheynst, Yves Wiaux

An algorithm is proposed for denoising the signal induced by cosmic strings in the cosmic microwave background (CMB). A Bayesian approach is taken, based on modeling the string signal in the wavelet domain with generalized Gaussian distributions. Good perf ...

2009

Classification of EEG Signals Using Dempster Shafer Theory and a K-Nearest Neighbor Classiﬁer

Touradj Ebrahimi, Ashkan Yazdani, Ulrich Hoffmann

A brain computer interface (BCI) is a communication system, which translates brain activity into commands for a computer or other devices. Nearly all BCIs contain as a core component a classification algorithm, which is employed to discriminate different b ...

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

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

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

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

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Wavelet Primal Sketch Representation Using Marr Wavelet Pyramid and Its Reconstruction

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis

Combining visible and near-infrared images for realistic skin smoothing

Automated Processing of GPS/MEMS-IMU Data for Position, Velocity and Attitude Determination

Wavelet domain Bayesian denoising of string signal in the cosmic microwave background

Classification of EEG Signals Using Dempster Shafer Theory and a K-Nearest Neighbor Classiﬁer

The Monogenic Riesz-Laplace Wavelet Transform

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

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

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

Wavelet Primal Sketch Representation Using Marr Wavelet Pyramid and Its Reconstruction

Combining visible and near-infrared images for realistic skin smoothing

Automated Processing of GPS/MEMS-IMU Data for Position, Velocity and Attitude Determination

Classification of EEG Signals Using Dempster Shafer Theory and a K-Nearest Neighbor Classiﬁer

Wavelet domain Bayesian denoising of string signal in the cosmic microwave background

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

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

The Fractional Hilbert Transform and Dual-Tree Gabor-Like Wavelet Analysis

The Monogenic Riesz-Laplace Wavelet Transform

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping