105 citations · 761 across the 48 of their papers we have counts for
4 papers · 1 filter
Limiting aspects of non-convex models
Michael Hintermüller, Tuomo Valkonen, Tao Wu
Recently, non-convex regularisation models have been introduced in order to provide a better prior for gradient distributions in real images. They are based on using concave energi…
The jump set under geometric regularisation. Part 2: Higher-order approaches
Tuomo Valkonen
In Part 1, we developed a new technique based on Lipschitz pushforwards for proving the jump set containment property of solutions to t…
The jump set under geometric regularisation. Part 1: Basic technique and first-order denoising
Tuomo Valkonen
Let $u \in \mbox{BV}(Ω)$ solve the total variation denoising problem with -squared fidelity and data . Caselles et al. [Multiscale Model. Simul. 6 (2008), 879--894] have sh…
Imaging with Kantorovich-Rubinstein discrepancy
Jan Lellmann, Dirk A. Lorenz, Carola Schönlieb +1
We propose the use of the Kantorovich-Rubinstein norm from optimal transport in imaging problems. In particular, we discuss a variational regularisation model endowed with a Kantor…