180 citations · 1.2k across the 100 of their papers we have counts for
24 papers · 1 filter
Regularization of Nonlinear Inverse Problems -- From Functional Analysis to Data-Driven Approaches
Clemens Kirisits, Bochra Mejri, Sergei Pereverzev +2
The focus of this book is on the analysis of regularization methods for solving \emph{nonlinear inverse problems}. Specifically, we place a strong emphasis on techniques that incor…
On the relation between constraint regularization, level sets, and shape optimization
A. Leitao, O. Scherzer
We consider regularization methods based on the coupling of Tikhonov regularization and projection strategies. From the resulting constraint regularization method we obtain level s…
Diffusion Tensor Regularization with Metric Double Integrals
Leon Frischauf, Melanie Melching, Otmar Scherzer
In this paper we propose a variational regularization method for denoising and inpainting of diffusion tensor magnetic resonance images. We consider these images as manifold-valued…
Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy
Clemens Kirisits, Eric Setterqvist, Otmar Scherzer
A recent result by Lasica, Moll and Mucha about the -anisotropic Rudin-Osher-Fatemi model in asserts that the solution is piecewise constant on a rectilinear…
Regularization with Metric Double Integrals for Vector Tomography
Melanie Melching, Otmar Scherzer
We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclide…
Convergence Rates of First and Higher Order Dynamics for Solving Linear Ill-posed Problems
Radu Boţ, Guozhi Dong, Peter Elbau +1
Recently, there has been a great interest in analysing dynamical flows, where the stationary limit is the minimiser of a convex energy. Particular flows of great interest have been…