Markus Grasmair
About
Markus Grasmair is professor at the Department of Mathematical Sciences.
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.
Publications
2025
-
Grasmair, Markus;
Hildrum, Fredrik.
(2025)
Subgradient-based Lavrentiev regularisation of monotone ill-posed problems.
Inverse Problems
Academic article
2024
-
Brüggemann, Heinrich;
Paulsen, Aksel;
Oppedal, Ketil;
Grasmair, Markus;
Hömberg, Dietmar Josef.
(2024)
Reliably calibrating X-ray images required for preoperative planning of THA using a device-adapted magnification factor.
PLOS ONE
Academic article
2022
-
Grasmair, Markus;
Wøien, Esten Nicolai.
(2022)
A PDE-Based Method for Shape Registration.
SIAM Journal of Imaging Sciences
Academic article
-
Langberg, Geir Severin Rakh Elvatun;
Nygård, Jan Franz;
Gogineni, Vinay Chakravarthi;
Nygård, Mari;
Grasmair, Markus;
Naumova, Valeriya.
(2022)
Towards a data-driven system for personalized cervical cancer risk stratification.
Scientific Reports
Academic article
-
Langberg, Geir Severin Rakh Elvatun;
Stapnes, Mikal Solberg;
Nygård, Jan Franz;
Nygård, Mari;
Grasmair, Markus;
Naumova, Valeriya.
(2022)
Matrix factorization for the reconstruction of cervical cancer screening histories and prediction of future screening results.
BMC Bioinformatics
Academic article
2021
-
Grasmair, Markus;
Naumova, Valeriya.
(2021)
Multiparameter Approaches in Image Processing.
Springer Nature
Academic chapter/article/Conference paper
-
Gogineni, Vinay Chakravarthi;
Langberg, Geir Severin Rakh Elvatun;
Naumova, Valeriya;
Nygård, Jan Franz;
Nygård, Mari;
Grasmair, Markus.
(2021)
Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective.
IEEE Signal Processing Society
Academic chapter/article/Conference paper
2020
-
Grasmair, Markus.
(2020)
Source Conditions for Non-Quadratic Tikhonov Regularization.
Numerical Functional Analysis and Optimization
Academic article
2018
-
Grasmair, Markus;
Klock, Timo;
Naumova, Valeriya.
(2018)
Adaptive multi-penalty regularization based on a generalized Lasso path.
Applied and Computational Harmonic Analysis
Academic article
-
Grunert, Katrin;
Holden, Helge;
Grasmair, Markus.
(2018)
On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System.
Springer Nature
Academic chapter/article/Conference paper
-
Grasmair, Markus;
Li, Housen;
Munk, Axel.
(2018)
Variational multiscale nonparametric regression: Smooth functions.
Annales de l'I.H.P. Probabilites et statistiques
Academic article
2017
-
Bauer, Martin;
Eslitzbichler, Markus;
Grasmair, Markus.
(2017)
Landmark-guided elastic shape analysis of human character motions.
Inverse Problems and Imaging
Academic article
2016
-
Grasmair, Markus;
Naumova, Valeriya.
(2016)
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization.
Inverse Problems
Academic article
2015
-
Bauer, Martin;
Grasmair, Markus;
Kirisits, Clemens.
(2015)
Optical Flow on Moving Manifolds.
SIAM Journal of Imaging Sciences
Academic article
2014
-
Beretta, Elena;
Grasmair, Markus;
Muszkieta, Monika;
Scherzer, Otmar.
(2014)
A variational algorithm for the detection of line segments.
Inverse Problems and Imaging
Academic article
2013
-
Bauer, Martin;
Fidler, Thomas;
Grasmair, Markus.
(2013)
Local Uniqueness of the Circular Integral Invariant.
Inverse Problems and Imaging
Academic article
2012
-
Frick, Klaus;
Grasmair, Markus.
(2012)
Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities.
Inverse Problems
Academic article
2011
-
Grasmair, Markus;
Haltmeier, Markus;
Scherzer, Otmar.
(2011)
Necessary and sufficient conditions for linear convergence of l1-regularization.
Communications on Pure and Applied Mathematics
Academic article
2010
-
Grasmair, Markus;
Lenzen, Frank.
(2010)
Anisotropic total variation filtering.
Applied Mathematics and Optimization
Academic article
-
Grasmair, Markus.
(2010)
Generalized Bregman distances and convergence rates for non-convex regularization methods.
Inverse Problems
Academic article
2009
-
Scherzer, Otmar;
Grasmair, Markus;
Grossauer, Harald;
Haltmeier, Markus;
Lenzen, Frank.
(2009)
Variational methods in imaging.
Springer
Applied mathematical sciences (167)
Academic monograph
2008
-
Grasmair, Markus;
Haltmeier, Markus;
Scherzer, Otmar.
(2008)
Sparse regularization with l^q penalty term.
Inverse Problems
Academic article
2007
-
Grasmair, Markus.
(2007)
The equivalence of the taut string algorithm and BV-regularization.
Journal of Mathematical Imaging and Vision
Academic article
Journal publications
-
Grasmair, Markus;
Hildrum, Fredrik.
(2025)
Subgradient-based Lavrentiev regularisation of monotone ill-posed problems.
Inverse Problems
Academic article
-
Brüggemann, Heinrich;
Paulsen, Aksel;
Oppedal, Ketil;
Grasmair, Markus;
Hömberg, Dietmar Josef.
(2024)
Reliably calibrating X-ray images required for preoperative planning of THA using a device-adapted magnification factor.
PLOS ONE
Academic article
-
Grasmair, Markus;
Wøien, Esten Nicolai.
(2022)
A PDE-Based Method for Shape Registration.
SIAM Journal of Imaging Sciences
Academic article
-
Langberg, Geir Severin Rakh Elvatun;
Nygård, Jan Franz;
Gogineni, Vinay Chakravarthi;
Nygård, Mari;
Grasmair, Markus;
Naumova, Valeriya.
(2022)
Towards a data-driven system for personalized cervical cancer risk stratification.
Scientific Reports
Academic article
-
Langberg, Geir Severin Rakh Elvatun;
Stapnes, Mikal Solberg;
Nygård, Jan Franz;
Nygård, Mari;
Grasmair, Markus;
Naumova, Valeriya.
(2022)
Matrix factorization for the reconstruction of cervical cancer screening histories and prediction of future screening results.
BMC Bioinformatics
Academic article
-
Grasmair, Markus.
(2020)
Source Conditions for Non-Quadratic Tikhonov Regularization.
Numerical Functional Analysis and Optimization
Academic article
-
Grasmair, Markus;
Klock, Timo;
Naumova, Valeriya.
(2018)
Adaptive multi-penalty regularization based on a generalized Lasso path.
Applied and Computational Harmonic Analysis
Academic article
-
Grasmair, Markus;
Li, Housen;
Munk, Axel.
(2018)
Variational multiscale nonparametric regression: Smooth functions.
Annales de l'I.H.P. Probabilites et statistiques
Academic article
-
Bauer, Martin;
Eslitzbichler, Markus;
Grasmair, Markus.
(2017)
Landmark-guided elastic shape analysis of human character motions.
Inverse Problems and Imaging
Academic article
-
Grasmair, Markus;
Naumova, Valeriya.
(2016)
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization.
Inverse Problems
Academic article
-
Bauer, Martin;
Grasmair, Markus;
Kirisits, Clemens.
(2015)
Optical Flow on Moving Manifolds.
SIAM Journal of Imaging Sciences
Academic article
-
Beretta, Elena;
Grasmair, Markus;
Muszkieta, Monika;
Scherzer, Otmar.
(2014)
A variational algorithm for the detection of line segments.
Inverse Problems and Imaging
Academic article
-
Bauer, Martin;
Fidler, Thomas;
Grasmair, Markus.
(2013)
Local Uniqueness of the Circular Integral Invariant.
Inverse Problems and Imaging
Academic article
-
Frick, Klaus;
Grasmair, Markus.
(2012)
Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities.
Inverse Problems
Academic article
-
Grasmair, Markus;
Haltmeier, Markus;
Scherzer, Otmar.
(2011)
Necessary and sufficient conditions for linear convergence of l1-regularization.
Communications on Pure and Applied Mathematics
Academic article
-
Grasmair, Markus;
Lenzen, Frank.
(2010)
Anisotropic total variation filtering.
Applied Mathematics and Optimization
Academic article
-
Grasmair, Markus.
(2010)
Generalized Bregman distances and convergence rates for non-convex regularization methods.
Inverse Problems
Academic article
-
Grasmair, Markus;
Haltmeier, Markus;
Scherzer, Otmar.
(2008)
Sparse regularization with l^q penalty term.
Inverse Problems
Academic article
-
Grasmair, Markus.
(2007)
The equivalence of the taut string algorithm and BV-regularization.
Journal of Mathematical Imaging and Vision
Academic article
Books
-
Scherzer, Otmar;
Grasmair, Markus;
Grossauer, Harald;
Haltmeier, Markus;
Lenzen, Frank.
(2009)
Variational methods in imaging.
Springer
Applied mathematical sciences (167)
Academic monograph
Part of book/report
-
Grasmair, Markus;
Naumova, Valeriya.
(2021)
Multiparameter Approaches in Image Processing.
Springer Nature
Academic chapter/article/Conference paper
-
Gogineni, Vinay Chakravarthi;
Langberg, Geir Severin Rakh Elvatun;
Naumova, Valeriya;
Nygård, Jan Franz;
Nygård, Mari;
Grasmair, Markus.
(2021)
Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective.
IEEE Signal Processing Society
Academic chapter/article/Conference paper
-
Grunert, Katrin;
Holden, Helge;
Grasmair, Markus.
(2018)
On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System.
Springer Nature
Academic chapter/article/Conference paper