Markus Grasmair
About
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.
Competencies
Publications
2022
- Grasmair, Markus; Wøien, Esten Nicolai. (2022) A PDE-Based Method for Shape Registration. SIAM Journal of Imaging Sciences. volum 15 (2).
- 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. volum 12 (1).
- 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. volum 23.
2021
- Gogineni, Vinay Chakravarthi; Langberg, Geir Severin Rakh Elvatun; Naumova, Valeriya; Nygård, Jan Franz; Nygård, Mari; Grasmair, Markus; Werner, Stefan. (2021) Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective. 2021 IEEE Statistical Signal Processing Workshop (SSP).
- Grasmair, Markus; Naumova, Valeriya. (2021) Multiparameter Approaches in Image Processing. Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging.
2020
- Grasmair, Markus. (2020) Source Conditions for Non-Quadratic Tikhonov Regularization. Numerical Functional Analysis and Optimization.
2018
- Grasmair, Markus; Klock, Timo; Naumova, Valeriya. (2018) Adaptive multi-penalty regularization based on a generalized Lasso path. Applied and Computational Harmonic Analysis.
- Grasmair, Markus; Li, Housen; Munk, Axel. (2018) Variational multiscale nonparametric regression: Smooth functions. Annales de l'I.H.P. Probabilites et statistiques. volum 54 (2).
- Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg.
2017
- Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus. (2017) Landmark-guided elastic shape analysis of human character motions. Inverse Problems and Imaging. volum 11 (4).
2016
- Grasmair, Markus; Naumova, Valeriya. (2016) Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization. Inverse Problems. volum 32 (10).
2015
- Bauer, Martin; Grasmair, Markus; Kirisits, Clemens. (2015) Optical Flow on Moving Manifolds. SIAM Journal of Imaging Sciences. volum 8 (1).
2014
- Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar. (2014) A variational algorithm for the detection of line segments. Inverse Problems and Imaging. volum 8 (2).
2013
- Bauer, Martin; Fidler, Thomas; Grasmair, Markus. (2013) Local Uniqueness of the Circular Integral Invariant. Inverse Problems and Imaging. volum 7 (1).
2011
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2011) Necessary and sufficient conditions for linear convergence of l1-regularization. Communications on Pure and Applied Mathematics. volum 64 (2).
2010
- Grasmair, Markus. (2010) Generalized Bregman distances and convergence rates for non-convex regularization methods. Inverse Problems. volum 26 (11).
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2010) Sparsity in Inverse Geophysical Problems. Handbook of Geomathematics.
- Grasmair, Markus; Lenzen, Frank. (2010) Anisotropic total variation filtering. Applied Mathematics and Optimization. volum 62 (3).
2009
- Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank. (2009) Variational methods in imaging. Springer. 2009. ISBN 978-0-387-30931-6. Applied mathematical sciences (167).
2008
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2008) Sparse regularization with l^q penalty term. Inverse Problems. volum 24 (5).
2007
- Grasmair, Markus. (2007) The equivalence of the taut string algorithm and BV-regularization. Journal of Mathematical Imaging and Vision. volum 27 (1).
Journal publications
- Grasmair, Markus; Wøien, Esten Nicolai. (2022) A PDE-Based Method for Shape Registration. SIAM Journal of Imaging Sciences. volum 15 (2).
- 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. volum 12 (1).
- 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. volum 23.
- Grasmair, Markus. (2020) Source Conditions for Non-Quadratic Tikhonov Regularization. Numerical Functional Analysis and Optimization.
- Grasmair, Markus; Klock, Timo; Naumova, Valeriya. (2018) Adaptive multi-penalty regularization based on a generalized Lasso path. Applied and Computational Harmonic Analysis.
- Grasmair, Markus; Li, Housen; Munk, Axel. (2018) Variational multiscale nonparametric regression: Smooth functions. Annales de l'I.H.P. Probabilites et statistiques. volum 54 (2).
- Bauer, Martin; Eslitzbichler, Markus; Grasmair, Markus. (2017) Landmark-guided elastic shape analysis of human character motions. Inverse Problems and Imaging. volum 11 (4).
- Grasmair, Markus; Naumova, Valeriya. (2016) Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization. Inverse Problems. volum 32 (10).
- Bauer, Martin; Grasmair, Markus; Kirisits, Clemens. (2015) Optical Flow on Moving Manifolds. SIAM Journal of Imaging Sciences. volum 8 (1).
- Beretta, Elena; Grasmair, Markus; Muszkieta, Monika; Scherzer, Otmar. (2014) A variational algorithm for the detection of line segments. Inverse Problems and Imaging. volum 8 (2).
- Bauer, Martin; Fidler, Thomas; Grasmair, Markus. (2013) Local Uniqueness of the Circular Integral Invariant. Inverse Problems and Imaging. volum 7 (1).
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2011) Necessary and sufficient conditions for linear convergence of l1-regularization. Communications on Pure and Applied Mathematics. volum 64 (2).
- Grasmair, Markus. (2010) Generalized Bregman distances and convergence rates for non-convex regularization methods. Inverse Problems. volum 26 (11).
- Grasmair, Markus; Lenzen, Frank. (2010) Anisotropic total variation filtering. Applied Mathematics and Optimization. volum 62 (3).
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2008) Sparse regularization with l^q penalty term. Inverse Problems. volum 24 (5).
- Grasmair, Markus. (2007) The equivalence of the taut string algorithm and BV-regularization. Journal of Mathematical Imaging and Vision. volum 27 (1).
Part of book/report
- Gogineni, Vinay Chakravarthi; Langberg, Geir Severin Rakh Elvatun; Naumova, Valeriya; Nygård, Jan Franz; Nygård, Mari; Grasmair, Markus; Werner, Stefan. (2021) Data-Driven Personalized Cervical Cancer Risk Prediction: A Graph-Perspective. 2021 IEEE Statistical Signal Processing Workshop (SSP).
- Grasmair, Markus; Naumova, Valeriya. (2021) Multiparameter Approaches in Image Processing. Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging.
- Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg.
- Grasmair, Markus; Haltmeier, Markus; Scherzer, Otmar. (2010) Sparsity in Inverse Geophysical Problems. Handbook of Geomathematics.
Books
- Scherzer, Otmar; Grasmair, Markus; Grossauer, Harald; Haltmeier, Markus; Lenzen, Frank. (2009) Variational methods in imaging. Springer. 2009. ISBN 978-0-387-30931-6. Applied mathematical sciences (167).