Publications related to Statistical wavelet analysis of functional images of the brain

On the use of continuous-wavelet transform for fault location in distribution power systems

The paper illustrates a procedure based on the continuous-wavelet transform (CWT) for the analysis of voltage transients due to line faults, and discusses its application to fault location in power distribution systems. The analysis carried out shows that ...

2006

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Martin Vetterli, Minh Do

The limitations of commonly used separable extensions of one-dimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a "true" two-dimensional transform that can c ...

2005

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

Correspondence principle between spherical and Euclidean wavelets

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...

2005

Generalized Biorthogonal Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9⁄7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by ...

SPIE2005

Generalized Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the Daubechies wavelet family. The context is that of a non-stationary multiresolution analysis—i.e., a sequence of embedded approximation spaces generated by scaling functions that are not necessarily dilates of one another. ...

IEEE2005

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Vijayaraghavan Thirumalai

We propose a method to encode a 3D magnetic resonance image data and a decoder in such way that fast access to any 2D image is possible by decoding only the corresponding information from each subband image and thus provides minimum decoding time. This wil ...

2005

Construction and comparison of approximations for switching linear gaussian state space models

Bertrand Mesot

We introduce a new method for approximate inference in Hybrid Dynamical Graphical models, in particular, for switching dynamical networks. For the important special case of switching linear Gaussian state space models (switching Kalman Filters), our method ...

IDIAP2005

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

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

We introduce an integrated framework for detecting brain activity from fMRI data, which is based on a spatial discrete wavelet transform. Unlike the standard wavelet-based approach for fMRI analysis, we apply the suitable statistical test procedure in the ...

Elsevier2004

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

Statistical wavelet analysis of functional images of the brain

Graph Chatbot

Chat with Graph Search

On the use of continuous-wavelet transform for fault location in distribution power systems

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Exponential-Spline Wavelet Bases

Correspondence principle between spherical and Euclidean wavelets

Generalized Biorthogonal Daubechies Wavelets

Generalized Daubechies Wavelets

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Construction and comparison of approximations for switching linear gaussian state space models

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

On the use of continuous-wavelet transform for fault location in distribution power systems

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Generalized Daubechies Wavelets

Exponential-Spline Wavelet Bases

Correspondence principle between spherical and Euclidean wavelets

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Integrated Wavelet Processing and Spatial Statistical Testing of fMRI Data

The Contourlet Transform: An Efficient Directional Multiresolution Image Representation

Generalized Biorthogonal Daubechies Wavelets

Construction and comparison of approximations for switching linear gaussian state space models