180 citations · 275 across the 19 of their papers we have counts for
10 papers · 1 filter
Maximum Discrepancy Generative Regularization and Non-Negative Matrix Factorization for Single Channel Source Separation
Martin Ludvigsen, Markus Grasmair
The idea of adversarial learning of regularization functionals has recently been introduced in the wider context of inverse problems. The intuition behind this method is the realiz…
Parameter identification in PDEs by the solution of monotone inclusion problems
Pankaj Gautam, Markus Grasmair
In this paper we consider the solution of monotone inverse problems using the particular example of a parameter identification problem for a semilinear parabolic PDE. For the regul…
A PDE-based Method for Shape Registration
Esten Nicolai Wøien, Markus Grasmair
In the square root velocity framework, the computation of shape space distances and the registration of curves requires solution of a non-convex variational problem. In this paper,…
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization
Markus Grasmair, Valeriya Naumova
Inspired by several real-life applications in audio processing and medical image analysis, where the quantity of interest is generated by several sources to be accurately modeled a…
Optical Flow on Moving Manifolds
Martin Bauer, Markus Grasmair, Clemens Kirisits
Optical flow is a powerful tool for the study and analysis of motion in a sequence of images. In this article we study a Horn-Schunck type spatio-temporal regularization functional…
A variational algorithm for the detection of line segments
E. Beretta, M. Grasmair, M. Muszkieta +1
In this paper we propose an algorithm for the detection of edges in images that is based on topological asymptotic analysis. Motivated from the Mumford--Shah functional, we conside…
An Application of Source Inequalities for Convergence Rates of Tikhonov Regularization with a Non-differentiable Operator
Markus Grasmair
In this paper we study Tikhonov regularization for the stable solution of an ill-posed non-linear operator equation. The operator we consider, which is related to an active contour…
Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities
Klaus Frick, Markus Grasmair
We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance…
Multi-parameter Tikhonov Regularisation in Topological Spaces
Markus Grasmair
We study the behaviour of Tikhonov regularisation on topological spaces with multiple regularisation terms. The main result of the paper shows that multi-parameter regularisation i…
Local Uniqueness of the Circular Integral Invariant
Martin Bauer, Thomas Fidler, Markus Grasmair
This article is concerned with the representation of curves by means of integral invariants. In contrast to the classical differential invariants they have the advantage of being l…