24 citations · 79 across the 10 of their papers we have counts for
6 papers · 1 filter
Boundedness and unboundedness in total variation regularization
Kristian Bredies, José A. Iglesias, Gwenael Mercier
We consider whether minimizers for total variation regularization of linear inverse problems belong to even if the measured data does not. We present a simple proof of b…
Convergence of level sets in total variation denoising through variational curvatures in unbounded domains
José A. Iglesias, Gwenael Mercier
We present some results of geometric convergence of level sets for solutions of total variation denoising as the regularization parameter tends to zero. The common feature among th…
Influence of dimension on the convergence of level-sets in total variation regularization
José A. Iglesias, Gwenael Mercier
We extend some recent results on the Hausdorff convergence of level-sets for total variation regularized linear inverse problems. Dimensions higher than two and measurements in Ban…
Critical yield numbers and limiting yield surfaces of particle arrays settling in a Bingham fluid
José A. Iglesias, Gwenael Mercier, Otmar Scherzer
We consider the flow of multiple particles in a Bingham fluid in an anti-plane shear flow configuration. The limiting situation in which the internal and applied forces balance and…
A note on convergence of solutions of total variation regularized linear inverse problems
José A. Iglesias, Gwenael Mercier, Otmar Scherzer
In a recent paper by A. Chambolle et al. [Geometric properties of solutions to the total variation denoising problem. Inverse Problems 33, 2017] it was proven that if the subgradie…
Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets
Ian A. Frigaard, José A. Iglesias, Gwenael Mercier +2
We consider the fluid mechanical problem of identifying the critical yield number of a dense solid inclusion (particle) settling under gravity within a bounded domain of Bing…