Background and activities
Markus Grasmair has been associate professor at the Department of Mathematical Sciences since October 2013.
Main areas of research
Inverse problems, mathematical methods in image processing, optimisation.
Academic degrees
- Habilitation in Mathematics at the University of Vienna (2011). Thesis: Nonsmooth variational methods in image processing and inverse problems.
- PhD in Mathematics at the University of Innsbruck (2006). Thesis: Relaxation of nonlocal integrals with rational integrands.
- MSc in Mathematics at the University of Innsbruck (2003). Thesis: Norms on root systems (in German).
Work experience
- 2012-2013 Substitute professor for Scientific Computing at the Catholic University of Eichstätt-Ingolstadt, Germany.
- 2009-2012 Assistant professor at the University of Vienna, Austria.
- 2003-2009 Research assistant at the University of Innsbruck, Austria.
Scientific, academic and artistic work
A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database
Journal publications
- (2018) Adaptive multi-penalty regularization based on a generalized Lasso path. Applied and Computational Harmonic Analysis.
- (2018) Variational multiscale nonparametric regression: Smooth functions. Annales de l'I.H.P. Probabilites et statistiques. vol. 54 (2).
- (2017) Landmark-guided elastic shape analysis of human character motions. Inverse Problems and Imaging. vol. 11 (4).
- (2016) Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization. Inverse Problems. vol. 32 (10).
- (2015) Optical Flow on Moving Manifolds. SIAM Journal of Imaging Sciences. vol. 8 (1).
- (2014) A variational algorithm for the detection of line segments. Inverse Problems and Imaging. vol. 8 (2).
- (2013) Local Uniqueness of the Circular Integral Invariant. Inverse Problems and Imaging. vol. 7 (1).
- (2013) Scale and Edge Detection with Topological Derivatives. Lecture Notes in Computer Science. vol. 7893.
- (2013) Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces. Journal of Inverse and Ill-Posed Problems. vol. 21 (3).
- (2013) An approach to the minimization of the Mumford-Shah functional using Gamma-convergence and topological asymptotic expansion. Interfaces and free boundaries (Print). vol. 15 (2).
- (2013) Nonparametric instrumental regression with non-convex constraints. Inverse Problems. vol. 29 (3).
- (2012) Shape reconstruction with a priori knowledge based on integral invariants. SIAM Journal of Imaging Sciences. vol. 5 (2).
- (2012) Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities. Inverse Problems. vol. 28 (10).
- (2012) Convergence rates for Tikhonov regularisation on Banach spaces. Oberwolfach Reports. vol. 9 (4).
- (2011) Linear convergence rates for Tikhonov regularization with positively homogeneous functionals. Inverse Problems. vol. 27 (7).
- (2011) Well-posedness classes for sparse regularization. Communications in Mathematical Sciences. vol. 9 (4).
- (2011) Necessary and sufficient conditions for linear convergence of l1-regularization. Communications on Pure and Applied Mathematics. vol. 64 (2).
- (2011) The residual method for regularizing ill-posed problems. Applied Mathematics and Computation. vol. 218 (6).
- (2010) Spatial segmentation of imaging mass spectrometry data with edge-preserving image denoising and clustering. Journal of Proteome Research. vol. 9 (12).
- (2010) Evolution by non-convex functionals. Numerical Functional Analysis and Optimization. vol. 31 (4).