Lebenslauf
- geboren 1976 in Wels, Österreich. Verheiratet mit Bettina. Töchter: Sanna und Enni.
- Studium in Mathematik an der Johannes Kepler Universität Linz und der Universität Mailand, Diplom 1998.
- Doktor der Naturwissenschaften in Mathematik an der Johannes Kepler Universität Linz, 2000.
- Wissenschaftlicher Mitarbeiter und Postdoc im SFB „Numerical and Symbolic Scientific Computing“ an der Johannes Kepler Universität Linz, 1999-2000.
- Zivildienst im Hilfswerk Österreich, Linz, 2001.
- Assistentenstelle am Industrial Mathematics Institute der Johannes Kepler Universität Linz, 2002-2003 und 2004-2006.
- CAM Assistenzprofessur, UCLA, 2003-2004.
- Wissenschaftlicher Berater am RICAM Linz, 2005-2006.
- Habilitation (venia docendi) an der Johannes Kepler Universität Linz, 2005.
- Universitätsprofessur für Angewandte Mathematik an der WWU Münster, 2006-2018.
- Universitätsprofessur für Angewandte Mathematik an der FAU Erlangen-Nürnberg, seit 2018.
Publikationen
Komplette Liste aller Publikationen
- , , :
Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient flow structure
In: European Journal of Applied Mathematics (2020)
ISSN: 0956-7925
DOI: 10.1017/S0956792520000285
BibTeX: Download - , , :
Delayed blow-up for chemotaxis models with local sensing
In: Journal of the London Mathematical Society-Second Series (2020)
ISSN: 0024-6107
DOI: 10.1112/jlms.12420
BibTeX: Download - , , :
Data assimilation in price formation
In: Inverse Problems 36 (2020)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ab6d5a
BibTeX: Download - , , :
An entropic Landweber method for linear ill-posed problems
In: Inverse Problems 36 (2020), Art.Nr.: 015009
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ab5c49
BibTeX: Download - , , , :
Adaptive Regularization of Some Inverse Problems in Image Analysis
In: IEEE Transactions on Image Processing 29 (2020), S. 2507-2521
ISSN: 1057-7149
DOI: 10.1109/TIP.2019.2960587
BibTeX: Download
- , :
Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type
In: Journal of Evolution Equations (2019)
ISSN: 1424-3199
DOI: 10.1007/s00028-019-00545-1
URL: https://arxiv.org/abs/1906.09856
BibTeX: Download - , , :
Computing Nonlinear Eigenfunctions via Gradient Flow Extinction
SSVM 2019 (Hofgeismar, 30.06.2019 - 04.07.2019)
DOI: 10.1007/978-3-030-22368-7_23
URL: https://arxiv.org/abs/1902.10414
BibTeX: Download - , , , :
A MESOSCOPIC MODEL OF BIOLOGICAL TRANSPORTATION NETWORKS
In: Communications in Mathematical Sciences 17 (2019), S. 1213-1234
ISSN: 1539-6746
DOI: 10.4310/cms.2019.v17.n5.a3
BibTeX: Download - , , :
Convergence rates and structure of solutions of inverse problems with imperfect forward models
In: Inverse Problems 35 (2019), Art.Nr.: 024006
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aaf6f5
BibTeX: Download - , , , :
A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions
7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019 (Hofgeismar, 30.06.2019 - 04.07.2019)
In: Jan Lellmann, Jan Modersitzki, Martin Burger (Hrsg.): Lecture Notes in Computer Science 2019
DOI: 10.1007/978-3-030-22368-7_38
BibTeX: Download
- Burger M, Dirks H, Schonlieb CB:
A Variational Model for Joint Motion Estimation and Image Reconstruction
In: Siam Journal on Imaging Sciences 11 (2018), S. 94-128
ISSN: 1936-4954
DOI: 10.1137/16M1084183
URL: https://arxiv.org/pdf/1607.03255
BibTeX: Download - Schuster T, Hahn B, Burger M:
Dynamic inverse problems: modelling-regularization-numerics Preface
In: Inverse Problems 34 (2018)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aab0f5
BibTeX: Download - Rasch J, Kolehmainen V, Nivajarvi R, Kettunen M, Grohn O, Burger M, Brinkmann EM:
Dynamic MRI reconstruction from undersampled data with an anatomical prescan
In: Inverse Problems 34 (2018)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aac3af
URL: https://arxiv.org/pdf/1712.00099.pdf
BibTeX: Download - Ding QQ, Burger M, Zhang XQ:
Dynamic SPECT reconstruction with temporal edge correlation
In: Inverse Problems 34 (2018)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aa9a94
URL: https://arxiv.org/pdf/1707.00158.pdf
BibTeX: Download
- Chien T., Dinh K., Jeon B., Burger M.:
Block compressive sensing of image and video with nonlocal Lagrangian multiplier and patch-based sparse representation
In: Signal Processing-Image Communication 54 (2017), S. 93-106
ISSN: 0923-5965
DOI: 10.1016/j.image.2017.02.012
BibTeX: Download - , , :
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth
In: Kinetic and Related Models 10 (2017), S. 117-140
ISSN: 1937-5093
DOI: 10.3934/krm.2017005
BibTeX: Download
- , , , :
Bias-Reduction in Variational Regularization
In: Journal of Mathematical Imaging and Vision Special Issue MIA 2016 (2016)
ISSN: 0924-9907
DOI: 10.1007/s10851-017-0747-z
BibTeX: Download - , , , :
Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures
In: Journal of Nonlinear Science null (2016), S. 1-33
ISSN: 0938-8974
DOI: 10.1007/s00332-016-9348-z
BibTeX: Download - :
Bregman distances in inverse problems and partial differential equations
In: J.Hiriard-Urrurty, A.Korytowski, H.Maurer, M.Szymkat (Hrsg.): Advances in Mathematical Modeling, Optimization, and Optimal Control, Springer International Publishing, 2016, S. 3-33 (Springer Optimization and Its Applications)
DOI: 10.1007/978-3-319-30785-5_2
BibTeX: Download - , :
Flow characteristics in a crowded transport model
In: Nonlinearity 29 (2016), S. 3528-3550
ISSN: 0951-7715
DOI: 10.1088/0951-7715/29/11/3528
BibTeX: Download - , , :
An optimization approach for well-targeted transcranial direct current stimulation
In: SIAM Journal on Applied Mathematics 76 (2016), S. 2154-2174
ISSN: 0036-1399
DOI: 10.1137/15M1026481
URL: http://epubs.siam.org/doi/10.1137/15M1026481
BibTeX: Download
2015
- , , :
Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems
In: Foundations of Computational Mathematics null (2015)
ISSN: 1615-3375
DOI: 10.1007/s10208-015-9292-6
BibTeX: Download - , , :
Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem
In: Inverse Problems 31 (2015)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/31/12/125002
BibTeX: Download
2014
- , , , :
Color Bregman TV
In: Siam Journal on Imaging Sciences 7 (2014), S. 2771-2806
ISSN: 1936-4954
DOI: 10.1137/130943388
BibTeX: Download - , , , :
A framework for automated cell tracking in phase contrast microscopic videos based on normal velocities
In: Journal of Visual Communication and Image Representation 25 (2014), S. 396-409
ISSN: 1047-3203
DOI: 10.1016/j.jvcir.2013.12.002
BibTeX: Download
2013
- , , , :
Higher-order TV methods - Enhancement via Bregman iteration
In: Journal of Scientific Computing 54 (2013), S. 269-310
ISSN: 0885-7474
DOI: 10.1007/s10915-012-9650-3
BibTeX: Download - , , :
Convergence rates in ℓ1-regularization if the sparsity assumption fails
In: Inverse Problems 29 (2013)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/29/2/025013
BibTeX: Download - , :
A guide to the TV zoo
In: Burger Martin, Osher Stanley (Hrsg.): Level Set and PDE-based Reconstruction Methods, 2013, S. 1-70 (Lecture Notes in Mathematics)
ISBN: 9783319017112
DOI: 10.1007/978-3-319-01712-9-1
BibTeX: Download - , , :
Identification of nonlinearities in transport-diffusion models of crowded motion
In: Inverse Problems and Imaging 7 (2013), S. 1157-1182
ISSN: 1930-8337
DOI: 10.3934/ipi.2013.7.1157
BibTeX: Download - , , , , , , :
Atlas-based whole-body PET-CT segmentation using a passive contour distance
In: Lecture Notes in Computer Science 7766 LNCS (2013), S. 82-92
ISSN: 0302-9743
DOI: 10.1007/978-3-642-36620-8_9
BibTeX: Download - , , , , :
EM-TV methods for inverse problems with poisson noise
In: Burger Martin, Osher Stanley (Hrsg.): Level Set and PDE-based Reconstruction Methods, Springer, 2013, S. 71-142 (Lecture Notes in Mathematics)
ISBN: 9783319017112
DOI: 10.1007/978-3-319-01712-9-2
BibTeX: Download - , , , :
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
In: Journal of Mathematical Imaging and Vision 47 (2013), S. 179-209
ISSN: 0924-9907
DOI: 10.1007/s10851-013-0419-6
BibTeX: Download
2012
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An adaptive inverse scale space method for compressed sensing
In: Mathematics of Computation (2012)
ISSN: 0025-5718
DOI: 10.1090/S0025-5718-2012-02599-3
BibTeX: Download - , , , , , , , :
Atlas-based segmentation using passive contours
2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012 (Anaheim, CA, usa)
DOI: 10.1109/NSSMIC.2012.6551688
BibTeX: Download - , , , :
Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: depth localization and source separation for focal primary currents.
In: NeuroImage 61 (2012), S. 1364-82
ISSN: 1053-8119
DOI: 10.1016/j.neuroimage.2012.04.017
BibTeX: Download - , , , :
A variational approach for sharpening high dimensional images
In: Siam Journal on Imaging Sciences 5 (2012), S. 150-178
ISSN: 1936-4954
DOI: 10.1137/100810356
BibTeX: Download - , , , , , , :
A simplified pipeline for motion correction in dual gated cardiac PET
Workshops Bildverarbeitung fur die Medizin: Algorithmen - Systeme - Anwendungen, BVM 2012 - Workshop on Image Processing for Medicine: Algorithms - Systems - Applications, BVM 2012 (Berlin, deu)
DOI: 10.1007/978-3-642-28502-8-11
BibTeX: Download - , , , , , , :
Diffeomorphic susceptibility artifact correction of diffusion-weighted magnetic resonance images.
In: Physics in Medicine and Biology 57 (2012), S. 5715-31
ISSN: 0031-9155
DOI: 10.1088/0031-9155/57/18/5715
BibTeX: Download - , , , , , , , :
Impact of physical noise modeling on image segmentation in echocardiography
3rd Eurographics Workshop on VisualComputing in Biology and Medicine, EG VCBM 2012 (Norrkoping, swe)
DOI: 10.2312/VCBM/VCBM12/033-040
BibTeX: Download - , , , :
Comparison of boundary element and finite element approaches to the EEG forward problem.
In: Biomedizinische Technik 57 Suppl 1 (2012)
ISSN: 0013-5585
DOI: 10.1515/bmt-2012-4152
BibTeX: Download - , , , , , :
Comparison of direct and reciprocal forward modeling approaches in EEG source analysis
In: Biomedizinische Technik 57 1 (2012), S. -
ISSN: 0013-5585
DOI: 10.1515/bmt-2012-4069
BibTeX: Download
2011
- , :
Error estimates for general fidelities
In: Electronic Transactions on Numerical Analysis 38 (2011), S. 44-68
ISSN: 1068-9613
BibTeX: Download - Burger M, Markowich P, Pietschmann J:
Continuous limit of a crowd motion and herding model: Analysis and numerical simulations
In: Kinetic and Related Models 4 (2011), S. 1025-1047
ISSN: 1937-5093
BibTeX: Download - Sanchez V, Wistuba J, Wubbeling F, Burger M, Schlatt S, Mallidis C:
Detection of Sperm DNA damage by Raman microspectroscopy
DOI: 10.1016/j.fertnstert.2011.07.900
BibTeX: Download - , , :
A level set based shape optimization method for an elliptic obstacle problem
In: Mathematical Models & Methods in Applied Sciences 21 (2011), S. 619-649
ISSN: 0218-2025
DOI: 10.1142/S0218202511005155
BibTeX: Download - , , :
A hyperelastic regularization energy for image registration
In: SIAM Journal on Scientific Computing (2011)
ISSN: 1064-8275
DOI: 10.1137/110835955
BibTeX: Download - , , , :
Hierarchical bayesian models for EEG inversion: Depth localization and source separation for focal sources in realistic FE head models
In: Biomedizinische Technik 56 (2011), S. 1-4
ISSN: 0013-5585
DOI: 10.1515/BMT.2011.817
BibTeX: Download
2010
- , , :
A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting
ICNAAM 2010
DOI: 10.1063/1.3498318
BibTeX: Download - , , :
A mixed finite element method for nonlinear diffusion equations
In: Kinetic and Related Models 3 (2010), S. 59-83
ISSN: 1937-5093
DOI: 10.3934/krm.2010.3.59
BibTeX: Download - , , , , , , , :
A continuity equation based optical flow method for cardiac motion correction in 3D PET data
Proc. of MIAR (Peking)
In: Hongen Liao, P.J. Eddie Edwards, Xiaochuan Pan (Hrsg.): Medical Imaging and Augmented Reality: 5th International Workshop, MIAR 2010, Beijing, China, September 19-20, 2010, Proceedings (Lecture Notes in ... Vision, Pattern Recognition, and Graphics), Berlin Heidelberg: 2010
DOI: 10.1007/978-3-642-15699-1_10
URL: http://cvpr.uni-muenster.de/organisation/dawoods/MICCAI2010.pdf
BibTeX: Download - , , , , , , , :
Confocal Raman microspectroscopy, the future for semen analysis?
DOI: 10.1111/j.1365-2605.2010.01106.x
BibTeX: Download - , :
Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy
ICNAAM 2010 (Rhodes, Greece)
DOI: 10.1063/1.3498325
BibTeX: Download - , , , :
Bregmanized nonlocal regularization for deconvolution and sparsereconstruction
In: Siam Journal on Imaging Sciences 3 (2010), S. 253--276
ISSN: 1936-4954
DOI: 10.1137/090746379
BibTeX: Download - , , :
A unified primal-dual algorithm framework based on Bregman iteration
In: Journal of Scientific Computing 3 (2010)
ISSN: 0885-7474
DOI: 10.1007/s10915-010-9408-8
BibTeX: Download
2009
- , , :
Bregman-EM-TV Methods with Application to Optical Nanoscopy
SSVM 2009 (Voss, Norway)
DOI: 10.1007/978-3-642-02256-2_20
BibTeX: Download - Schönlieb C, Bertozzi A, Burger M, He L:
Image inpainting using a fourth-order total variation flow
SampTA09 (Marseille)
BibTeX: Download - , , :
Cahn-Hilliard inpainting and a generalization for grayvalue image
In: Siam Journal on Imaging Sciences 3 (2009), S. 3
ISSN: 1936-4954
DOI: 10.1137/080728548
BibTeX: Download
2008
- Burger M, He L, Markowich P, Schönlieb C:
A generalization of Cahn-Hilliard inpainting for gray-value images
ICIAM 2007 (Zurich)
In: PAMM Special Issue: ICIAM 07 2008
BibTeX: Download - Benning M, Kösters T, Wübbeling F, Schäfers K, Burger M:
A Nonlinear Variational Method for Improved Quantification of Myocardial Blood Flow Using Dynamic H215O PET
IEEE NSS/MIC 2008 (Dresden)
BibTeX: Download - :
A note on sparse reconstruction methods
AIP 2007 (Vancouver)
In: Uhlmann G (Hrsg.): J Phys Conference Series 2008
DOI: 10.1088/1742-6596/124/1/012002
BibTeX: Download - Burger M, Chu S, Markowich P, Schönlieb C:
Cahn-Hilliard inpainting and the Willmore functional
ICIAM 2007 (Zurich)
In: PAMM Special Issue: ICIAM 07 2008
DOI: 10.1002/pamm.200700802
BibTeX: Download - :
Finite element approximation of elliptic partial differential equations on implicit surfaces
In: Computing and Visualization in Science (2008)
ISSN: 1432-9360
DOI: 10.1007/s00791-007-0081-x
BibTeX: Download - , , :
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
In: Communications in Mathematical Sciences 6 (2008), S. 1-28
ISSN: 1539-6746
DOI: 10.4310/CMS.2008.v6.n1.a1
BibTeX: Download - , , , :
Discovering point sources in unknown environments
WAFR 2008
DOI: 10.1007/978-3-642-00312-7_41
BibTeX: Download - , :
A Globally Covergent Gummel Map for Optimal Dopant Profiling
In: Mathematical Models & Methods in Applied Sciences 19 (2008)
ISSN: 0218-2025
BibTeX: Download - , , :
Finite element based level set methods for higher order flows
In: Journal of Scientific Computing 35 (2008), S. 77-98
ISSN: 0885-7474
DOI: 10.1007/s10915-008-9204-x
BibTeX: Download - , , , , , :
Accurate EM-TV algorithm in PET with low SNR
IEEE NSS/MIC 2008 (Dresden, Deutschland)
DOI: 10.1109/NSSMIC.2008.4774392
BibTeX: Download
2007
- Burger M, Hausser F, Stöcker C, Voigt A:
A level set approach to anisotropic flows with curvature regularization
In: Journal of Computational Physics 225 (2007), S. 183-205
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2006.11.026
BibTeX: Download - Burger M, Capasso V, Micheletti A:
An extension of the Kolmogorov-Avrami formula to inhomogeneous birth-and-growth processes
In: Aletti G, Burger M, Micheletti A, Morale D (Hrsg.): Math Everywhere, Berlin: Springer, 2007, S. 63--76
DOI: 10.1007/978-3-540-44446-6_6
BibTeX: Download - Burger M, Resmerita E, He L:
Error estimation for Bregman iterations and inverse scale space methods
In: Computing 81 (2007), S. 109-135
ISSN: 0010-485X
BibTeX: Download - Su B, Burger M:
Global weak solutions of non-isothermal front propagation problem
In: Electronic Research Announcements in Mathematical Sciences 13 (2007), S. 46--52 (electronic)
ISSN: 1079-6762
DOI: 10.1090/S1079-6762-07-00173-4
BibTeX: Download
2006
- Burger M, Capasso V, Micheletti A:
An extension of the Avrami-Kolmogorov formula to inhomogeneous birth-and-growth processes
Math Everywhere (Milano)
DOI: 10.1007/978-3-540-44446-6_6
BibTeX: Download - Stainko R, Burger M:
A one-shot approach to topology optimization with stress constraints
IUTAM Symposium on Topological Design Optimization of Structures, Machines, and Materials
DOI: 10.1007/1-4020-4752-5_18
BibTeX: Download - Berkels B, Burger M, Droske M, Nemitz O, Rumpf M:
Cartoon extraction based on anisotropic image classification
Vision, Modeling, and Visualization Proceedings
BibTeX: Download - :
Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry
2006
BibTeX: Download
2005
- :
A model hierarchy for surface diffusion: the small slope case
5th MATHMOD (Vienna)
BibTeX: Download - Osher S, Burger M, Goldfarb D, Xu J, Yin W:
An iterative regularization method for total variation based image restoration
In: Multiscale Modeling & Simulation 4 (2005), S. 460-489
ISSN: 1540-3459
DOI: 10.1137/040605412
BibTeX: Download - Burger M, Osher S:
A survey on level set methods for inverse problems and optimal design
In: European Journal of Applied Mathematics 16 (2005), S. 263-301
ISSN: 0956-7925
DOI: 10.1017/S0956792505006182
BibTeX: Download
(Rezension) - Burger M, Hofinger A:
Greedy algorithms for neural network training with data noise
In: Computing 74 (2005), S. 1-22
ISSN: 0010-485X
BibTeX: Download
2004
- Burger M, Osher S:
Convergence rates of convex variational regularization
In: Inverse Problems 20 (2004), S. 1411-1421
ISSN: 0266-5611
DOI: 10.1088/0266-5611/20/5/005
BibTeX: Download - :
Growth of multiple crystals in polymer melts
In: European Journal of Applied Mathematics 15 (2004), S. 347-363
ISSN: 0956-7925
DOI: 10.1017/S0956792504005522
BibTeX: Download
2003
- :
A framework for the construction of level set methods for shape optimization and reconstruction
In: Interfaces and Free Boundaries 5 (2003), S. 301-329
ISSN: 1463-9971
DOI: 10.4171/IFB/81
BibTeX: Download - :
Growth and impingement in polymer melts
FBP 2002 (Trento)
BibTeX: Download - , :
Fast optimal design of semiconductor devices
In: SIAM Journal on Applied Mathematics 64 (2003), S. 108-126
ISSN: 0036-1399
DOI: 10.1137/S0036139902420560
BibTeX: Download
2002
- Burger M, Neubauer A:
Analysis of Tikhonov regularization for function approximation by neural networks
In: Neural Networks 16 (2002), S. 79-90
ISSN: 0893-6080
DOI: 10.1016/S0893-6080(02)00167-3
BibTeX: Download - Haslinger J, Bodenhofer U, Burger M:
Data-Driven construction of Sugeno controllers: analytical aspects and new numerical methods
9th IFSA World Congress and 20th NAFIPS International Conference (Vancouver)
DOI: 10.1109/NAFIPS.2001.944258
BibTeX: Download
2001
- :
A level set method for inverse problems
In: Inverse Problems 17 (2001), S. 1327-1356
ISSN: 0266-5611
DOI: 10.1088/0266-5611/17/5/307
BibTeX: Download - Burger M, Neubauer A:
Error bounds for approximation with neural networks
In: Journal of Approximation Theory 112 (2001), S. 235-250
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3613
BibTeX: Download - Burger M, Engl H, Markowich P, Pietra P:
Identification of doping profiles in semiconductor device
In: Inverse Problems 17 (2001), S. 1765-1795
ISSN: 0266-5611
DOI: 10.1088/0266-5611/17/6/315
BibTeX: Download
Lehrveranstaltungen
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