We introduce an algorithm to solve linear inverse problems regularized with the total (gradient) variation in a gridless manner. Contrary to most existing methods, that produce an approximate solution which is piecewise constant on a fixed mesh, our approach exploits the structure of the solutions and consists in iteratively constructing a linear combination of indicator functions of simple polygons
International audienceWe present a simple framework for solving different ill-posed inverse problems...
In the context of linear inverse problems, we propose and study a general iterative regularization m...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...
International audienceWe introduce an algorithm to solve linear inverse problems regularized with th...
We propose the discrete semi-local total variation (SLTV) as a new regularization functional for inv...
International audienceWe propose the discrete semi-local total variation (SLTV) as a new regularizat...
International audienceWe study the solutions of infinite dimensional linear inverse problems over Ba...
We propose several formulations for recovering discontinuous coefficients in elliptic problems by us...
An inverse problem is the process whereby data are used to identify unknown parameters in a system o...
Rédaction : fin 2011. Soutenance : mars 2012.Inverse problems are to recover the data that has been ...
© 2016 IOP Publishing Ltd. Linear inverse problems with total variation regularization can be refor...
International audienceWe propose new optimization algorithms to minimize a sum of convex functions, ...
Abstract. In many inverse problems it is essential to use regularization methods that preserve edges...
Based on minimizing a piece wise differentiable lp function subject to a single inequality constrain...
International audienceWe present a simple framework for solving different ill-posed inverse problems...
In the context of linear inverse problems, we propose and study a general iterative regularization m...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...
International audienceWe introduce an algorithm to solve linear inverse problems regularized with th...
We propose the discrete semi-local total variation (SLTV) as a new regularization functional for inv...
International audienceWe propose the discrete semi-local total variation (SLTV) as a new regularizat...
International audienceWe study the solutions of infinite dimensional linear inverse problems over Ba...
We propose several formulations for recovering discontinuous coefficients in elliptic problems by us...
An inverse problem is the process whereby data are used to identify unknown parameters in a system o...
Rédaction : fin 2011. Soutenance : mars 2012.Inverse problems are to recover the data that has been ...
© 2016 IOP Publishing Ltd. Linear inverse problems with total variation regularization can be refor...
International audienceWe propose new optimization algorithms to minimize a sum of convex functions, ...
Abstract. In many inverse problems it is essential to use regularization methods that preserve edges...
Based on minimizing a piece wise differentiable lp function subject to a single inequality constrain...
International audienceWe present a simple framework for solving different ill-posed inverse problems...
In the context of linear inverse problems, we propose and study a general iterative regularization m...
Abstract—We propose new optimization algorithms to min-imize a sum of convex functions, which may be...