Publications related to Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Extreme hydrological events are often triggered by exceptional co-variations of the relevant hydrometeorological processes and in particular by exceptional co-oscillations at various temporal scales. Wavelet and cross wavelet spectral analysis offers promi ...

Elsevier2007

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

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006

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

WSPM or How to Obtain Statistical Parametric Maps Using Shift-Invariant Wavelet Processing

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

Recently, we have proposed a new framework for detecting brain activity from fMRI data, which is based on the spatial discrete wavelet transform. The standard wavelet-based approach performs a statistical test in the wavelet domain, and therefore fails to ...

IEEE2006

Directionlets: Anisotropic Multidirectional representation with separable filtering

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

In spite of the success of the standard wavelet transform (WT) in image processing in recent years, the efficiency of its representation is limited by the spatial isotropy of its basis functions built in the horizontal and vertical directions. One-dimensio ...

2006

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

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

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

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Sai Siva Gorthi

Wavelet transform analysis of projected fringe pattern for phase recovery in 3-D shape measurement of objects is investigated. The present communication specifically outlines and evaluates the errors that creep in to the reconstructed profiles when fringe ...

2005

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

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What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Wavelets on non-Euclidean manifolds

Fast directional correlation on the sphere with steerable filters

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

WSPM or How to Obtain Statistical Parametric Maps Using Shift-Invariant Wavelet Processing

Directionlets: Anisotropic Multidirectional representation with separable filtering

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Exponential-Spline Wavelet Bases

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

What drives high flow events in the Swiss Alps? Recent developments in wavelet spectral analysis and their application to hydrology

Wavelets on non-Euclidean manifolds

Fast directional correlation on the sphere with steerable filters

WSPM or How to Obtain Statistical Parametric Maps Using Shift-Invariant Wavelet Processing

Directionlets: Anisotropic Multidirectional representation with separable filtering

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Exponential-Spline Wavelet Bases

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

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