Publications by Michaël Unser

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Michaël Unser, Julien René Pierre Fageot, Emrah Bostan

We study the statistics of wavelet coefficients of non-Gaussian images, focusing mainly on the behaviour at coarse scales. We assume that an image can be whitened by a fractional Laplacian operator, which is consistent with an

∥ω∥ ^{ -\gamma }

spectral ...

IEEE2014

Multiscale Interior Tomography Using 1D Generalized Total Variation

Michaël Unser, John Paul Ward

We propose a method for accurate and fast reconstruction of the interior of a 2D or 3D tomographic image from its incomplete local Radon transform. Unlike the existing interior tomography work with 2D total variation, the proposed algorithm guarantees exac ...

The University of Utah2014

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

Michaël Unser, Emrah Bostan, Ulugbek Kamilov, Abbas Kazerouni

We introduce a new approach for the implementation of minimum mean-square error (MMSE) denoising for signals with decoupled derivatives. Our method casts the problem as a penalized least-squares regression in the redundant wavelet domain. It exploits the l ...

Ieee-Inst Electrical Electronics Engineers Inc2013

A 2D/3D image analysis system to track fluorescently labeled structures in rod-shaped cells: application to measure spindle pole asymmetry during mitosis

Michaël Unser, Daniel Sage, Viesturs Simanis, Daniel Andreas Schmitter, Anastasia Chasapi, Ioannis Xenarios

Background: The yeast Schizosaccharomyces pombe is frequently used as a model for studying the cell cycle. The cells are rod-shaped and divide by medial fission. The process of cell division, or cytokinesis, is controlled by a network of signaling proteins ...

Biomed Central Ltd2013

MMSE Estimation of Sparse Levy Processes

Michaël Unser, Arash Amini, Ulugbek Kamilov, Pedram Pad

We investigate a stochastic signal-processing framework for signals with sparse derivatives, where the samples of a Levy process are corrupted by noise. The proposed signal model covers the well-known Brownian motion and piecewise-constant Poisson process; ...

Ieee-Inst Electrical Electronics Engineers Inc2013

A chemostat array enables the spatio-temporal analysis of the yeast proteome

Michaël Unser, Felix Naef, Sebastian Maerkl, Ricard Delgado Gonzalo, Nicolas Dénervaud, Arun Stephen Rajkumar, Johannes Becker

Observing cellular responses to perturbations is central to generating and testing hypotheses in biology. We developed a massively parallel microchemostat array capable of growing and observing 1,152 yeast-GFP strains on the single-cell level with 20 min t ...

National Academy of Sciences2013

Spline-Based Deforming Ellipsoids for Interactive 3D Bioimage Segmentation

Michaël Unser, Ricard Delgado Gonzalo

We present a new fast active-contour model (a.k.a. snake) for image segmentation in 3D microscopy. We introduce a parametric design that relies on exponential B-spline bases and allows us to build snakes that are able to reproduce ellipsoids. We design our ...

Ieee-Inst Electrical Electronics Engineers Inc2013

Decay Properties of Riesz Transforms and Steerable Wavelets

Michaël Unser, John Paul Ward, Kunal Narayan Chaudhury

The Riesz transform is a natural multidimensional extension of the Hilbert transform, and it has been the object of study for many years due to its nice mathematical properties. More recently, the Riesz transform and its variants have been used to construc ...

Siam Publications2013

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy

Michaël Unser, Cédric René Jean Vonesch, Hagay Kirshner

Super-resolution localization microscopy relies on sparse activation of photo-switchable probes. Such activation, however, introduces limited temporal resolution. High-density imaging overcomes this limitation by allowing several neighboring probes to be a ...

IEEE2013

Fast Maximum Likelihood High-Density Low-SNR Super-Resolution Localization Microscopy

Michaël Unser, Kyungjin Kim

Localization microscopy such as STORM/PALM achieves the super-resolution by sparsely activating photo-switchable probes. However, to make the activation sparse enough to obtain reconstruction images using conventional algorithms, only small set of probes n ...

SampTA2013

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Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Multiscale Interior Tomography Using 1D Generalized Total Variation

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

A 2D/3D image analysis system to track fluorescently labeled structures in rod-shaped cells: application to measure spindle pole asymmetry during mitosis

MMSE Estimation of Sparse Levy Processes

A chemostat array enables the spatio-temporal analysis of the yeast proteome

Spline-Based Deforming Ellipsoids for Interactive 3D Bioimage Segmentation

Decay Properties of Riesz Transforms and Steerable Wavelets

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy

Fast Maximum Likelihood High-Density Low-SNR Super-Resolution Localization Microscopy

A 2D/3D image analysis system to track fluorescently labeled structures in rod-shaped cells: application to measure spindle pole asymmetry during mitosis

A chemostat array enables the spatio-temporal analysis of the yeast proteome

Statistics of Wavelet Coefficients for Sparse Self-Similar Images

Multiscale Interior Tomography Using 1D Generalized Total Variation

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

MMSE Estimation of Sparse Levy Processes

Spline-Based Deforming Ellipsoids for Interactive 3D Bioimage Segmentation

Decay Properties of Riesz Transforms and Steerable Wavelets

Fast Maximum Likelihood High-Density Low-SNR Super-Resolution Localization Microscopy

Continuous Localization Using Sparsity Constraints for High-Density Super-Resolution Microscopy