32 citations · 44 across the 6 of their papers we have counts for
6 papers
Dynamical Programming for off-the-grid dynamic Inverse Problems
Vincent Duval, Robert Tovey
In this work we consider algorithms for reconstructing time-varying data into a finite sum of discrete trajectories, alternatively, an off-the-grid sparse-spikes decomposition whic…
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems
Sören Bartels, Robert Tovey, Friedrich Wassmer
Recent quasi-optimal error estimates for the finite element approximation of total-variation regularized minimization problems require the existence of a Lipschitz continuous dual…
"FISTA" in Banach spaces with adaptive discretisations
Antonin Chambolle, Robert Tovey
FISTA is a popular convex optimisation algorithm which is known to converge at an optimal rate whenever a minimiser is contained in a suitable Hilbert space. We propose a modified…
The Fun is Finite: Douglas-Rachford and Sudoku Puzzle -- Finite Termination and Local Linear Convergence
Robert Tovey, Jingwei Liang
In recent years, the Douglas-Rachford splitting method has been shown to be effective at solving many non-convex optimization problems. In this paper we present a local convergence…
Scanning electron diffraction tomography of strain
Robert Tovey, Duncan N. Johnstone, Sean M. Collins +4
Strain engineering is used to obtain desirable materials properties in a range of modern technologies. Direct nanoscale measurement of the three-dimensional strain tensor field wit…
Directional Sinogram Inpainting for Limited Angle Tomography
Robert Tovey, Martin Benning, Christoph Brune +5
In this paper we propose a new joint model for the reconstruction of tomography data under limited angle sampling regimes. In many applications of Tomography, e.g. Electron Microsc…