180 citations · 275 across the 19 of their papers we have counts for
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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…
Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces
Markus Grasmair
In this paper we derive higher order convergence rates in terms of the Bregman distance for Tikhonov like convex regularisation for linear operator equations on Banach spaces. The…
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…
An Approach to the Minimization of the Mumford-Shah Functional using Γ-convergence and Topological Asymptotic Expansion
Markus Grasmair, Monika Muszkieta, Otmar Scherzer
In this paper, we present a method for the numerical minimization of the Mumford-Shah functional that is based on the idea of topological asymptotic expansions. The basic idea is t…