Publications related to Exploiting Prior Knowledge in Compressed Sensing Wireless ECG Systems

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

The monogenic signal is the natural 2-D counterpart of the 1-D analytic signal. We propose to transpose the concept to the wavelet domain by considering a complexified version of the Riesz transform which has the remarkable property of mapping a real-value ...

Institute of Electrical and Electronics Engineers2009

Wavelet-Regularized Reconstruction For Rapid MRI

Michaël Unser, Dimitri Nestor Alice Van De Ville, Cédric René Jean Vonesch, Matthieu Guerquin-Kern, Jean-Charles Baritaux

We propose a reconstruction scheme adapted to MRI that takes advantage of a sparsity constraint in the wavelet domain. We show that, artifacts are significantly reduced compared to conventional reconstruction methods. Our approach is also competitive with ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Michaël Unser, Chandra Sekhar Seelamantula

This paper deals with the problem of time-resolved fluorescence diffuse optical tomography. We propose a new reconstruction scheme based on a multi-resolution approximation of the time-resolved signals. The underlying basis functions are exponential B-spli ...

IEEE2009

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

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

Tomographic reconstruction from positron emission tomography (PET) data is an ill-posed problem that requires regularization. An attractive approach is to impose an

\ell_{ 1 }

-regularization constraint, which favors sparse solutions in the wavelet dom ...

Institute of Electrical and Electronics Engineers2008

Continuous Wavelet Transform on the Hyperboloid

Pierre Vandergheynst, Iva Bogdanova Vandergheynst

In this paper we build a Continuous Wavelet Transform (CWT) on the upper sheet of the 2-hyperboloid

H_+^2

. First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO ...

2007

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

WSPM: Wavelet-Based Statistical Parametric Mapping

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

Recently, we have introduced an integrated framework that combines wavelet-based processing with statistical testing in the spatial domain. In this paper, we propose two important enhancements of the framework. First, we revisit the underlying paradigm; i. ...

Elsevier2007

Low-Rate Reduced Complexity Image Compression using Directionlets

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

The standard separable two-dimensional (2-D) wavelet transform (WT) has recently achieved a great success in image processing because it provides a sparse representation of smooth images. However, it fails to capture efficiently one-dimensional (1-D) disco ...

2006

Locally Adaptive Wavelet-Based Image Interpolation

Martin Vetterli

We describe a spatially adaptive algorithm for image interpolation. The algorithm uses a wavelet transform to extract information about sharp variations in the low-resolution image and then implicitly applies interpolation which adapts to the image local s ...

2006

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

Exploiting Prior Knowledge in Compressed Sensing Wireless ECG Systems

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Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Wavelet-Regularized Reconstruction For Rapid MRI

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Continuous Wavelet Transform on the Hyperboloid

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

WSPM: Wavelet-Based Statistical Parametric Mapping

Low-Rate Reduced Complexity Image Compression using Directionlets

Locally Adaptive Wavelet-Based Image Interpolation

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

Dynamic PET Reconstruction Using Wavelet Regularization with Adapted Basis Functions

Locally Adaptive Wavelet-Based Image Interpolation

Low-Rate Reduced Complexity Image Compression using Directionlets

Continuous Wavelet Transform Ridge Extraction for Spectral Interferometry Imaging

Wavelet-Regularized Reconstruction For Rapid MRI

Time Resolved Fluorescence Diffuse Optical Tomography Using Multi-Resolution Exponential B-Splines

Continuous Wavelet Transform on the Hyperboloid

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

WSPM: Wavelet-Based Statistical Parametric Mapping