Publications related to Time–frequency analysis

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

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

In this paper, we use polyharmonic B-splines to build multidimensional wavelet bases. These functions are nonseparable, multidimensional basis functions that are localized versions of radial basis functions. We show that Rabut's elementary polyharmonic B-s ...

IEEE2005

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

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Michaël Unser, Philippe Thévenaz

This paper presents an algorithm based on a continuous framework for a posteriori angular and translational assignment in three-dimensional electron microscopy (3DEM) of single particles. Our algorithm can be used advantageously to refine the assignment of ...

Elsevier2005

High-Resolution Frequency Estimation Technique for Recovering Phase Distribution in Interferometers

Pramod Rastogi, Abhijit Patil, Rajesh Langoju

An integral approach to phase measurement is presented. First, the use of a high-resolution technique for the pixelwise detection of phase steps is proposed. Next, the robustness of the algorithm that is developed is improved by incorporation of a denoisin ...

OSA2005

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

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

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

Model-Free Precompensator and Feedforward Tuning Based on the Correlation Approach

Alireza Karimi, Roland Longchamp, Mark Edward John Butcher

High performance output tracking can be achieved by precompensator or feedforward controllers based on the inverse of the closed-loop system or the plant model. However, it has been shown that these inverse controllers can affect adversely the tracking per ...

2005

Aggregation of a Term Vocabulary for Peer-to-Peer Information Retrieval: a DHT Stress Test

Karl Aberer, Fabius Klemm

There has been an increasing research interest in developing full-text retrieval based on peer-to-peer (P2P) technology. So far, these research efforts have largely concentrated on efficiently distributing an index. However, ranking of the results retrieve ...

2005

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

Time–frequency analysis

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Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

High-Resolution Frequency Estimation Technique for Recovering Phase Distribution in Interferometers

Generalized Daubechies Wavelets

Generalized L-Spline Wavelet Bases

Generalized Biorthogonal Daubechies Wavelets

Model-Free Precompensator and Feedforward Tuning Based on the Correlation Approach

Aggregation of a Term Vocabulary for Peer-to-Peer Information Retrieval: a DHT Stress Test

Correspondence principle between spherical and Euclidean wavelets

Spline-Based Image-to-Volume Registration for Three-Dimensional Electron Microscopy

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

High-Resolution Frequency Estimation Technique for Recovering Phase Distribution in Interferometers

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Correspondence principle between spherical and Euclidean wavelets

Model-Free Precompensator and Feedforward Tuning Based on the Correlation Approach

Generalized L-Spline Wavelet Bases

Generalized Daubechies Wavelets

Generalized Biorthogonal Daubechies Wavelets

Aggregation of a Term Vocabulary for Peer-to-Peer Information Retrieval: a DHT Stress Test