Publications related to Signal Analysis Based on Complex Wavelet Signs

Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

In this talk, we discuss the issue of source separation in a signal on the sphere or on the plane, relying on the sparsity of one signal component in a scale-discretized steerable wavelet basis. The steerability of wavelets allows to probe in detail the lo ...

2008

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

Performance of an Impulse Radio Communication System in the Presence of Gaussian Jitter

Pierre-André Farine, Cyril Botteron

In this paper, the bit error rate (BER) performance for an ultra-wide bandwidth (UWB) impulse radio in an additive white Gaussian noise (AWGN) transmission channel and with Gaussian jitter is estimated. The assumed receiver combines the received pulses to ...

2007

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Dimitri Nestor Alice Van De Ville

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete w ...

SPIE2007

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Michaël Unser, Theo Lasser

The combination of wavelength multiplexing and spectral interferometry allows for the encoding of multidimensional information and its transmission over a mono-dimensional channel; for example, measurements of a surface's topography acquired through a mono ...

SPIE2005

Which Wavelet Bases Are the Best for Image Denoising?

Michaël Unser, Thierry Blu, Florian Luisier

We use a comprehensive set of non-redundant orthogonal wavelet transforms and apply a denoising method called SUREshrink in each individual wavelet subband to denoise images corrupted by additive Gaussian white noise. We show that, for various images and a ...

SPIE2005

Toward sparse and geometry adapted video approximations

Oscar Divorra Escoda

Video signals are sequences of natural images, where images are often modeled as piecewise-smooth signals. Hence, video can be seen as a 3D piecewise-smooth signal made of piecewise-smooth regions that move through time. Based on the piecewise-smooth model ...

EPFL2005

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

In this work, we study the effect of inserting spatially local temporal adaptivity to motion compensated frame adaptive transforms for video coding. Motion compensation aligns the temporal wavelet decomposition along motion trajectories. However, valid tra ...

2004

Guest Editorial: Wavelets in Medical Imaging

Michaël Unser

I. Introduction Wavelets are the result of collective efforts that recognized common threads between ideas and concepts that had been independently developed and investigated by distinct research communities. They provide a unifying framework for decompos ...

2003

Orthogonal Hilbert transform filter banks and wavelets

Martin Vetterli, Thierry Blu

Complex wavelet transforms offer the opportunity to perform directional and coherent processing based on the local magnitude and phase of signals and images. Although denoising, segmentation, and image enhancement are significantly improved using complex w ...

IEEE2003

Signal Analysis Based on Complex Wavelet Signs

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Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

The Monogenic Riesz-Laplace Wavelet Transform

Performance of an Impulse Radio Communication System in the Presence of Gaussian Jitter

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Which Wavelet Bases Are the Best for Image Denoising?

Toward sparse and geometry adapted video approximations

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Guest Editorial: Wavelets in Medical Imaging

Orthogonal Hilbert transform filter banks and wavelets

A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

Performance of an Impulse Radio Communication System in the Presence of Gaussian Jitter

The Monogenic Riesz-Laplace Wavelet Transform

Which Wavelet Bases Are the Best for Image Denoising?

Toward sparse and geometry adapted video approximations

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Guest Editorial: Wavelets in Medical Imaging

Orthogonal Hilbert transform filter banks and wavelets