29 citations · 29 across the 1 of their papers we have counts for
4 papers
Inverse problems with second-order Total Generalized Variation constraints
Kristian Bredies, Tuomo Valkonen
Total Generalized Variation (TGV) has recently been introduced as penalty functional for modelling images with edges as well as smooth variations. It can be interpreted as a "spars…
Relaxed Gauss-Newton methods with applications to electrical impedance tomography
Jyrki Jauhiainen, Petri Kuusela, Aku Seppänen +1
As second-order methods, Gauss--Newton-type methods can be more effective than first-order methods for the solution of nonsmooth optimization problems with expensive-to-evaluate sm…
Primal-dual block-proximal splitting for a class of non-convex problems
Stanislav Mazurenko, Jyrki Jauhiainen, Tuomo Valkonen
We develop block structure adapted primal-dual algorithms for non-convex non-smooth optimisation problems whose objectives can be written as compositions of non-smoo…
Asymptotic behaviour of total generalised variation
Konstantinos Papafitsoros, Tuomo Valkonen
The recently introduced second order total generalised variation functional has been a successful regulariser for image processing purposes. Its definition…