Publications related to Wavelet-Based Detection of Stimulus Responses in Time-Lapse Microscopy

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

We investigate the performance of wavelet shrinkage methods for the denoising of symmetric-a-stable (S alpha S) self-similar stochastic processes corrupted by additive white Gaussian noise (AWGN), where a is tied to the sparsity of the process. The wavelet ...

2017

Sparsity-Driven Statistical Inference for Inverse Problems

Ulugbek Kamilov

This thesis addresses statistical inference for the resolution of inverse problems. Our work is motivated by the recent trend whereby classical linear methods are being replaced by nonlinear alternatives that rely on the sparsity of naturally occurring sig ...

EPFL2015

A wavelet analysis for the X-ray absorption spectra of molecules

Majed Chergui, Ursula Röthlisberger, Ivano Tavernelli, Thomas James Penfold, Amal El Nahhas, Marco Eli Reinhard

We present a Wavelet transform analysis for the X-ray absorption spectra of molecules. In contrast to the traditionally used Fourier transform approach, this analysis yields a 2D correlation plot in both R- and k-space. As a consequence, it is possible to ...

American Institute of Physics2013

Multiscale analysis of high resolution digital elevation models using the wavelet transform

Michaël Kalbermatten

At the end of the nineties the emergence of high resolution (1 m) digital elevation models (DEMs) settled the context of high precision geomorphological analysis. These new elevation models permitted to reveal structures that remained heretofore undetectab ...

EPFL2010

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Jan Skaloud, Adrian Wägli, Heidi Fournier

The main objective of this research is in automating the initialization phase of the MEMS-IMZ/GPS data integration. The motivation for this study is the special case where the before mentioned sensors are worn on a body (e.g. of an athlete) and where the u ...

2009

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

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Michaël Unser, Cédric René Jean Vonesch

We present a multilevel extension of the popular "thresholded Landweber" algorithm for wavelet-regularized image restoration that yields an order of magnitude speed improvement over the standard fixed-scale implementation. The method is generic and targete ...

IEEE2009

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

Michaël Unser, Dimitri Nestor Alice Van De Ville

Model-based statistical analysis of functional magnetic resonance imaging (fMRI) data relies on the general linear model and statistical hypothesis testing. Due to the large number of intracranial voxels, it is important to deal with the multiple compariso ...

IEEE2008

The Monogenic Riesz-Laplace Wavelet Transform

Michaël Unser, Dimitri Nestor Alice Van De Ville, Katarina Balac

We introduce a family of real and complex wavelet bases of

L _{ 2 }

(\mathbb{R} ^{ 2 }

) that are directly linked to the Laplace and Riesz operators. The crucial point is that the family is closed with respect to the Riesz transform which maps a re ...

EURASIP2008

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Michaël Unser, Dimitri Nestor Alice Van De Ville

A distinction is usually made between wavelet bases and wavelet frames. The former are associated with a one-to-one representation of signals, which is somewhat constrained but most efficient computationally. The latter are over-complete, but they offer ad ...

Institute of Electrical and Electronics Engineers2008

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

Graph Chatbot

Chat with Graph Search

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

Sparsity-Driven Statistical Inference for Inverse Problems

A wavelet analysis for the X-ray absorption spectra of molecules

Multiscale analysis of high resolution digital elevation models using the wavelet transform

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

The Monogenic Riesz-Laplace Wavelet Transform

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

Sparsity-Driven Statistical Inference for Inverse Problems

Multiscale analysis of high resolution digital elevation models using the wavelet transform

The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression

The use of wavelet transform for an automated initialization in GPS/MEMS-IMU integration

The Monogenic Riesz-Laplace Wavelet Transform

Optimized Wavelet Denoising for Self-Similar alpha-Stable Processes

False Discovery Rate for Wavelet-Based Statistical Parametric Mapping

A wavelet analysis for the X-ray absorption spectra of molecules

A Fast Multilevel Algorithm for Wavelet-Regularized Image Restoration

Multiresolution Monogenic Signal Analysis Using the Riesz-Laplace Wavelet Transform