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View article: Curve Reconstruction in Inverse Problems: From Divergence-Measure Vector Fields to Density Lebesgue Measures
Curve Reconstruction in Inverse Problems: From Divergence-Measure Vector Fields to Density Lebesgue Measures Open
We introduce a new approach to perform curve reconstruction in microscopy images via vector field optimization. By formulating the problem in a suitable functional space, we establish equivalence in terms of solutions with the functional …
View article: Physics-Inspired Generative Adversarial Modelling for Fluctuation-Based Super-Resolution Microscopy
Physics-Inspired Generative Adversarial Modelling for Fluctuation-Based Super-Resolution Microscopy Open
International audience
View article: A $$\varGamma $$-Convergence Result and An Off-the-Grid Charge Algorithm for Curve Reconstruction in Inverse Problems
A $$\varGamma $$-Convergence Result and An Off-the-Grid Charge Algorithm for Curve Reconstruction in Inverse Problems Open
View article: Reconstruction sans-grille de courbes : un algorithme pour la super-résolution
Reconstruction sans-grille de courbes : un algorithme pour la super-résolution Open
International audience
View article: Fluctuation-based deconvolution in fluorescence microscopy using plug-and-play denoisers
Fluctuation-based deconvolution in fluorescence microscopy using plug-and-play denoisers Open
The spatial resolution of images of living samples obtained by fluorescence microscopes is physically limited due to the diffraction of visible light, which makes the study of entities of size less than the diffraction barrier (around 200 …
View article: A spatial statistical framework for the parametric study of fiber networks: Application to fibronectin deposition by normal and activated fibroblasts
A spatial statistical framework for the parametric study of fiber networks: Application to fibronectin deposition by normal and activated fibroblasts Open
Due to the complex architectural diversity of biological networks, there is an increasing need to complement statistical analyses with a qualitative and local description of their spatial properties. One such network is the extracellular m…
View article: Fluctuation-Based Deconvolution in Fluorescence Microscopy Using Plug-and-Play Denoisers
Fluctuation-Based Deconvolution in Fluorescence Microscopy Using Plug-and-Play Denoisers Open
View article: Super-résolution sans-grille pour l'imagerie de fluctuation
Super-résolution sans-grille pour l'imagerie de fluctuation Open
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View article: A spatial statistical framework for the parametric study of fiber networks: application to fibronectin deposition by normal and activated fibroblasts
A spatial statistical framework for the parametric study of fiber networks: application to fibronectin deposition by normal and activated fibroblasts Open
Changes in the spatial landscape of the extracellular matrix (ECM) in health and disease significantly impact the surrounding tissues. Quantifying the spatial variations in the fibrillar architecture of major ECM proteins could enable a pr…
View article: COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation
COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation Open
To overcome the physical barriers caused by light diffraction, super-resolution techniques are often applied in fluorescence microscopy. State-of-the-art approaches require specific and often demanding acquisition conditions to achieve ade…
View article: Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms
Off-The-Grid Variational Sparse Spike Recovery: Methods and Algorithms Open
Gridless sparse spike reconstruction is a rather new research field with significant results for the super-resolution problem, where we want to retrieve fine-scale details from a noisy and filtered acquisition. To tackle this problem, we a…
View article: 3D Image Super-Resolution by fluorophore fluctuations and MA-TIRF Microscopy reconstruction (3D-COL0RME)
3D Image Super-Resolution by fluorophore fluctuations and MA-TIRF Microscopy reconstruction (3D-COL0RME) Open
We propose a 3D super-resolution approach to improve both lateral and axial spatial resolution in Total Internal Reflectance Fluorescence (TIRF) imaging applications. Our approach, called 3D-COL0RME (3D - Covariance-based $\ell_0$ super-Re…
View article: Off-the-grid covariance-based super-resolution fluctuation microscopy
Off-the-grid covariance-based super-resolution fluctuation microscopy Open
Super-resolution fluorescence microscopy overcomes blurring arising from light diffraction, allowing the reconstruction of fine scale details in biological structures. Standard methods come at the expense of long acquisition time and/or ha…
View article: COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation
COL0RME: Super-resolution microscopy based on sparse blinking/fluctuating fluorophore localization and intensity estimation Open
To overcome the physical barriers caused by light diffraction, super-resolution techniques are often applied in fluorescence microscopy. State-of-the-art approaches require specific and often demanding acquisition conditions to achieve ade…
View article: A Continuous Relaxation of the Constrained $$\ell _2-\ell _0$$ Problem
A Continuous Relaxation of the Constrained $$\ell _2-\ell _0$$ Problem Open
View article: Direction-of-Arrival Estimation Through Exact Continuous ℓ<sub>2,0</sub>-Norm Relaxation
Direction-of-Arrival Estimation Through Exact Continuous ℓ<sub>2,0</sub>-Norm Relaxation Open
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View article: A continuous relaxation of the constrained $L_2 − L_0$ problem
A continuous relaxation of the constrained $L_2 − L_0$ problem Open
View article: New ℓ<sub>2</sub> − ℓ<sub>0</sub> algorithm for single-molecule localization microscopy
New ℓ<sub>2</sub> − ℓ<sub>0</sub> algorithm for single-molecule localization microscopy Open
Among the many super-resolution techniques for microscopy, single-molecule localization microscopy methods are widely used. This technique raises the difficult question of precisely localizing fluorophores from a blurred, under-resolved, a…
View article: New Insights on the Optimality Conditions of the $$\ell _2-\ell _0$$ Minimization Problem
New Insights on the Optimality Conditions of the $$\ell _2-\ell _0$$ Minimization Problem Open
View article: Exact biconvex reformulation of the $L2 − L0$ minimization problem
Exact biconvex reformulation of the $L2 − L0$ minimization problem Open
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View article: New Methods for l<sub>2</sub>-l<sub>0</sub> Minimization and their Applications to 2D Single-Molecule Localization Microscopy
New Methods for l<sub>2</sub>-l<sub>0</sub> Minimization and their Applications to 2D Single-Molecule Localization Microscopy Open
International audience
View article: Research Report: Exact biconvex reformulation of the $\ell_2-\ell_0$ minimization problem
Research Report: Exact biconvex reformulation of the $\ell_2-\ell_0$ minimization problem Open
We focus on the minimization of the least square loss function either under a $k$-sparse constraint or with a sparse penalty term. Based on recent results, we reformulate the $\ell_0$ pseudo-norm exactly as a convex minimization problem by…
View article: Exact biconvex reformulation of the $\ell_2-\ell_0$ minimization problem.
Exact biconvex reformulation of the $\ell_2-\ell_0$ minimization problem. Open
We focus on the minimization of the least square loss function either under a $k$-sparse constraint or with a sparse penalty term. Based on recent results, we reformulate the $\ell_0$ pseudo-norm exactly as a convex minimization problem by…
View article: Nanometric axial resolution of fibronectin assembly units achieved with an efficient reconstruction approach for multi-angle-TIRF microscopy
Nanometric axial resolution of fibronectin assembly units achieved with an efficient reconstruction approach for multi-angle-TIRF microscopy Open
High resolution imaging of molecules at the cell-substrate interface is required for understanding key biological processes. Here we propose a complete pipeline for multi-angle total internal reflection fluorescence microscopy (MA-TIRF) go…
View article: Single molecule localization by $\ell_2-\ell_0$ constrained optimization
Single molecule localization by $\ell_2-\ell_0$ constrained optimization Open
Single Molecule Localization Microscopy (SMLM) enables the acquisition of high-resolution images by alternating between activation of a sparse subset of fluorescent molecules present in a sample and localization. In this work, the localiza…
View article: Classification of the fibronectin variants with curvelets
Classification of the fibronectin variants with curvelets Open
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View article: A Unified View of Exact Continuous Penalties for $\ell_2$-$\ell_0$ Minimization
A Unified View of Exact Continuous Penalties for $\ell_2$-$\ell_0$ Minimization Open
International audience
View article: Accelerated gradient-based methods for phase estimation in differential-interference-contrast microscopy
Accelerated gradient-based methods for phase estimation in differential-interference-contrast microscopy Open
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View article: An efficient gradient-based method for differential-interference-contrast microscopy
An efficient gradient-based method for differential-interference-contrast microscopy Open
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View article: Phase estimation in differential-interference-contrast (DIC) microscopy
Phase estimation in differential-interference-contrast (DIC) microscopy Open
We present a gradient-based optimization method for the estimation of a specimen’s phase function from polychromatic DIC images. The method minimizes the sum of a nonlinear least-squares discrepancy measure and a smooth approximation of th…