Publications related to Optimally Localized Wavelets and Smoothing Kernels

Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

In this talk, we discuss the issue of source separation in a signal on the sphere or on the plane, relying on the sparsity of one signal component in a scale-discretized steerable wavelet basis. The steerability of wavelets allows to probe in detail the lo ...

2008

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Michaël Unser, Cédric René Jean Vonesch

Wavelet-domain

ℓ _{ 1 }

-regularization is a promising approach to deconvolution. The corresponding variational problem can be solved using a “thresholded Landweber” (TL) algorithm. While this iterative procedure is simple to implement, it is known to ...

IEEE2008

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of

L _{ 2 }

(\mathbb{R} ^{ 2 }

). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single- ...

IEEE2008

Filtering in Legendre spectral methods

Jan Sickmann Hesthaven

We discuss the impact of modal filtering in Legendre spectral methods, both on accuracy and stability. For the former, we derive sufficient conditions on the filter to recover high order accuracy away from points of discontinuity. Computational results con ...

American Mathematical Society2008

Calibration-Free Eye Gaze Direction Detection with Gaussian Processes

Aude Billard, Basilio Noris

In this paper we present a solution for eye gaze detection from a wireless head mounted camera designed for children aged between 6 months and 18 months. Due to the constraints of working with very young children, the system does not seek to be as accurate ...

2008

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Sai Siva Gorthi

The increasing use of 3D modeling of Human Face in Face Recognition systems, User Interfaces, Graphics , Gaming and the like has made it an area of active study. Majority of the 3D sensors rely on color coded light projection for 3D estimation. Such system ...

2007

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

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

Probably, the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new fa ...

Spie-Int Soc Optical Engineering, Po Box 10, Bellingham, Wa 98227-0010 Usa2007

Construction of Wavelet Bases That Mimic the Behaviour of Some Given Operator

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

Probably the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new fam ...

SPIE2007

Nonlinear dynamics of cardiovascular aging

The application of methods drawn from nonlinear and stochastic dynamics to the analysis of cardiovascular time series are applied with particular interests in the identification of changes associated with aging. Scale invariant and scale dependent approach ...

Lancaster University2007

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

Optimally Localized Wavelets and Smoothing Kernels

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Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

The Marr Wavelet Pyramid

Filtering in Legendre spectral methods

Calibration-Free Eye Gaze Direction Detection with Gaussian Processes

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

Construction of Wavelet Bases That Mimic the Behaviour of Some Given Operator

Nonlinear dynamics of cardiovascular aging

Generalized Daubechies Wavelet Families

3D Shape Extraction of Human Face in Presence of Facial Hair: A Profilometric Approach

The Marr Wavelet Pyramid

Sparsity-based Source Separation with Scale-Discretized Steerable Wavelets

Construction of Wavelet Bases That Mimic the Behaviour of Some Given Operator

Generalized Daubechies Wavelet Families

A Fast Thresholded Landweber Algorithm for General Wavelet Bases: Application to 3D Deconvolution Microscopy

Filtering in Legendre spectral methods

Construction of wavelet bases that mimic the behaviour of some given operator - art. no. 67010S

Nonlinear dynamics of cardiovascular aging

Calibration-Free Eye Gaze Direction Detection with Gaussian Processes