Publications related to Wavelets on the 2-Sphere: A Group-Theoretical Approach

Generalized Daubechies Wavelet Families

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies-Feauveau, 9⁄7). Our fundamental constraint is that the scaling functions should reproduce a predefined set of exponential polynom ...

IEEE2007

On the origin of the boson peak in globular proteins

Paolo De Los Rios, Francesco Piazza

We study the boson peak phenomenology experimentally observed in globular proteins by means of elastic network models. These models are suitable for an analytic treatment in the framework of Euclidean random matrix theory, whose predictions can be numerica ...

Taylor & Francis2007

Wavelets on non-Euclidean manifolds

Iva Bogdanova Vandergheynst

This dissertation investigates wavelets as a multiscale tool on non-Euclidean manifolds. The growing importance of using non-Euclidean manifolds as a geometric model for data comes from the diversity of the data collected. In this work we mostly deal with ...

EPFL2006

From Differential Equations to the Construction of New Wavelet-Like Bases

Michaël Unser, Ildar Khalidov

In this paper, an approach is introduced based on differential operators to construct wavelet-like basis functions. Given a differential operator L with rational transfer function, elementary building blocks are obtained that are shifted replicates of the ...

IEEE2006

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

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

Many experimental paradigms in biology aim at studying the response to coordinated stimuli. In dynamic imaging experiments, the observed data is often not straightforward to interpret and not directly measurable in a quantitative fashion. Consequently, the ...

IEEE2006

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

Mario Paolone

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

Omnidirectional views selection for scene representation

Pascal Frossard, Ivana Tosic

This paper proposes a new method for the selection of sets of omnidirectional views, which contribute together to the efficient representation of a 3d scene. When the 3d surface is modelled as a function on a unit sphere, the view selection problem is most ...

2006

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

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

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

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

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Wavelets on the 2-Sphere: A Group-Theoretical Approach

Graph Chatbot

Chat with Graph Search

Generalized Daubechies Wavelet Families

On the origin of the boson peak in globular proteins

Wavelets on non-Euclidean manifolds

From Differential Equations to the Construction of New Wavelet-Like Bases

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

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

Omnidirectional views selection for scene representation

Stereographic Wavelet Frames on the Sphere

Exponential-Spline Wavelet Bases

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Generalized Daubechies Wavelet Families

On the origin of the boson peak in globular proteins

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

From Differential Equations to the Construction of New Wavelet-Like Bases

Wavelets on non-Euclidean manifolds

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

Omnidirectional views selection for scene representation

Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

Exponential-Spline Wavelet Bases

Stereographic Wavelet Frames on the Sphere