Publications related to Gabor Wavelet Analysis and the Fractional Hilbert Transform

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

This paper develops a new approach to computing the shear rate from the torque and rotationalvelocity measurements in a Couette rheometer. It is based on wavelet-vaguelette decomposition (WVD) proposed by Donoho (Donoho, D., Appl. Comput. Harmon. Anal. 2, ...

2005

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

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

Wavelet-based statistical analysis methods for fMRI are able to detect brain activity without smoothing the data. Typically, the statistical inference is performed in the wavelet domain by testing the t-values of each wavelet coefficient; subsequently, an ...

IEEE2004

Isotropic-Polyharmonic B-Splines and Wavelets

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

We propose the use of polyharmonic B-splines to build non-separable two-dimensional wavelet bases. The central idea is to base our design on the isotropic polyharmonic B-splines, a new type of polyharmonic B-splines that do converge to a Gaussian as the or ...

IEEE2004

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

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Michaël Unser, Thierry Blu

We propose a construction of new wavelet-like bases that are well suited for the reconstruction and processing of optically generated Fresnel holograms recorded on CCD-arrays. The starting point is a wavelet basis of

L _{ 2 }

to which we apply a unitar ...

IEEE2003

Fractional Wavelets, Derivatives, and Besov Spaces

Michaël Unser, Thierry Blu

We show that a multi-dimensional scaling function of order γ (possibly fractional) can always be represented as the convolution of a polyharmonic B-spline of order γ and a distribution with a bounded Fourier transform which has neither order nor smoothness ...

SPIE2003

Locally Temporal Adaptive Transform Scheme for Sub-band Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

The work presented in this paper extends the concept of sub-band video coding based on a 3D wavelet transform to a more adaptive approach. A formal comparison is presented between the performances inferred by the use of the 3D wavelet transform and the use ...

IEEE2003

Statistical wavelet analysis of functional images of the brain

Functional magnetic resonance imaging (fMRI) is a recent, non-invasive technique that allows the measurement of brain metabolism while a subject is performing specific motor or cognitive tasks. The practical difficulty is that the signal changes are very s ...

EPFL2002

Gabor Wavelet Analysis and the Fractional Hilbert Transform

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Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Isotropic-Polyharmonic B-Splines and Wavelets

Guest Editorial: Wavelets in Medical Imaging

Orthogonal Hilbert transform filter banks and wavelets

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Fractional Wavelets, Derivatives, and Besov Spaces

Locally Temporal Adaptive Transform Scheme for Sub-band Video Coding

Statistical wavelet analysis of functional images of the brain

Guest Editorial: Wavelets in Medical Imaging

Orthogonal Hilbert transform filter banks and wavelets

Locally Temporal Adaptive Transform Scheme for Sub-band Video Coding

Statistical wavelet analysis of functional images of the brain

Solving the Couette inverse problem using a wavelet-vaguelette decomposition

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Wavelet-Based fMRI Statistical Analysis and Spatial Interpretation: A Unifying Approach

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Fractional Wavelets, Derivatives, and Besov Spaces

Isotropic-Polyharmonic B-Splines and Wavelets