Prof. Dr. Martin Burger

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Résumé

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.

Publications

Full list of publications

Berendsen J., Burger M., Ehrlacher V., Pietschmann JF.:
Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations
In: Journal of Evolution Equations (2019)
ISSN: 1424-3199
DOI: 10.1007/s00028-019-00534-4
BibTeX: Download
Bungert L., Burger M.:
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
Bungert L., Burger M.:
Solution paths of variational regularization methods for inverse problems
In: Inverse Problems (2019)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ab1d71
URL: https://arxiv.org/abs/1808.01783
BibTeX: Download
Bungert L., Burger M., Chambolle A., Novaga M.:
Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals
In: Analysis & Pde (2019)
ISSN: 1948-206X
URL: https://arxiv.org/abs/1901.06979
BibTeX: Download
Bungert L., Burger M., Tenbrinck D.:
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
Burger M., Föcke L., Nickel L., Jung P., Augustin S.:
Reconstruction Methods in THz Single-Pixel Imaging
In: Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen (ed.): Compressed Sensing and Its Applications, Springer International Publishing, 2019, p. 263-290 (Applied and Numerical Harmonic Analysis)
DOI: 10.1007/978-3-319-73074-5_9
BibTeX: Download
Burger M., Haskovec J., Markowich P., Ranetbauer H.:
A MESOSCOPIC MODEL OF BIOLOGICAL TRANSPORTATION NETWORKS
In: Communications in Mathematical Sciences 17 (2019), p. 1213-1234
ISSN: 1539-6746
DOI: 10.4310/cms.2019.v17.n5.a3
BibTeX: Download
Burger M., Korolev Y., Rasch J.:
Convergence rates and structure of solutions of inverse problems with imperfect forward models
In: Inverse Problems 35 (2019), Article No.: 024006
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aaf6f5
BibTeX: Download
Burger M., Korolev Y., Schönlieb CB., Stollenwerk C.:
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 (ed.): Lecture Notes in Computer Science 2019
DOI: 10.1007/978-3-030-22368-7_38
BibTeX: Download

Berendsen J., Burger M., Ehrlacher V., Pietschmann JF.:
Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations
In: Journal of Evolution Equations (2019)
ISSN: 1424-3199
DOI: 10.1007/s00028-019-00534-4
BibTeX: Download
Bungert L., Burger M.:
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
Bungert L., Burger M.:
Solution paths of variational regularization methods for inverse problems
In: Inverse Problems (2019)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/ab1d71
URL: https://arxiv.org/abs/1808.01783
BibTeX: Download
Bungert L., Burger M., Chambolle A., Novaga M.:
Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals
In: Analysis & Pde (2019)
ISSN: 1948-206X
URL: https://arxiv.org/abs/1901.06979
BibTeX: Download
Bungert L., Burger M., Tenbrinck D.:
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
Burger M., Föcke L., Nickel L., Jung P., Augustin S.:
Reconstruction Methods in THz Single-Pixel Imaging
In: Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen (ed.): Compressed Sensing and Its Applications, Springer International Publishing, 2019, p. 263-290 (Applied and Numerical Harmonic Analysis)
DOI: 10.1007/978-3-319-73074-5_9
BibTeX: Download
Burger M., Haskovec J., Markowich P., Ranetbauer H.:
A MESOSCOPIC MODEL OF BIOLOGICAL TRANSPORTATION NETWORKS
In: Communications in Mathematical Sciences 17 (2019), p. 1213-1234
ISSN: 1539-6746
DOI: 10.4310/cms.2019.v17.n5.a3
BibTeX: Download
Burger M., Korolev Y., Rasch J.:
Convergence rates and structure of solutions of inverse problems with imperfect forward models
In: Inverse Problems 35 (2019), Article No.: 024006
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aaf6f5
BibTeX: Download
Burger M., Korolev Y., Schönlieb CB., Stollenwerk C.:
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 (ed.): Lecture Notes in Computer Science 2019
DOI: 10.1007/978-3-030-22368-7_38
BibTeX: Download

Brinkmann EM., Burger M., Grah JS.:
Unified Models for Second-Order TV-Type Regularisation in Imaging: A New Perspective Based on Vector Operators
In: Journal of Mathematical Imaging and Vision (2018)
ISSN: 0924-9907
DOI: 10.1007/s10851-018-0861-6
URL: https://arxiv.org/pdf/1802.01895.pdf
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), p. 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
Rasch J, Brinkmann EM, Burger M:
Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging
In: Inverse Problems 34 (2018)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aa9425
URL: https://arxiv.org/pdf/1704.06073.pdf
BibTeX: Download
Benning M, Burger M:
Modern regularization methods for inverse problems
In: Acta Numerica 27 (2018), p. 1-111
ISSN: 0962-4929
DOI: 10.1017/S0962492918000016
URL: https://arxiv.org/pdf/1801.09922.pdf
BibTeX: Download
Burger M, During B, Kreusser LM, Markowich PA, Schonlieb CB:
Pattern formation of a nonlocal, anisotropic interaction model
In: Mathematical Models & Methods in Applied Sciences 28 (2018), p. 409-451
ISSN: 0218-2025
DOI: 10.1142/S0218202518500112
URL: https://arxiv.org/pdf/1610.08108.pdf
BibTeX: Download
Burger M, Di Francesco M, Fagioli S, Stevens A:
SORTING PHENOMENA IN A MATHEMATICAL MODEL FOR TWO MUTUALLY ATTRACTING/REPELLING SPECIES
In: SIAM Journal on Mathematical Analysis 50 (2018), p. 3210-3250
ISSN: 0036-1410
DOI: 10.1137/17M1125716
URL: https://arxiv.org/pdf/1704.04179.pdf
BibTeX: Download
Agapiou S, Burger M, Dashti M, Helin T:
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems
In: Inverse Problems 34 (2018)
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aaacac
URL: https://arxiv.org/pdf/1705.03286.pdf
BibTeX: Download
Föcke L., Baumgarten D., Burger M.:
The inverse problem of magnetorelaxometry imaging
In: Inverse Problems 34 (2018), Article No.: ARTN 115008
ISSN: 0266-5611
DOI: 10.1088/1361-6420/aadbbf
BibTeX: Download
Reips L., Burger M., Engbers R.:
Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model
In: Journal of Inverse and Ill-posed Problems 26 (2018), p. 185-200
ISSN: 0928-0219
DOI: 10.1515/jiip-2015-0016
BibTeX: Download

Benning M., Moeller M., Nossek RZ., Burger M., Cremers D., Gilboa G., Schonilibe CB.:
Nonlinear spectral image fusion
6th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2017 (Kolding, DNK, 04.06.2017 - 08.06.2017)
In: Francois Lauze, Yiqiu Dong, Anders Bjorholm Dahl (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2017
DOI: 10.1007/978-3-319-58771-4_4
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), p. 93-106
ISSN: 0923-5965
DOI: 10.1016/j.image.2017.02.012
BibTeX: Download
Berendsen J., Burger M., Pietschmann J.:
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion
In: Nonlinear Analysis - Theory Methods & Applications 159 (2017), p. 10-39
ISSN: 0362-546X
DOI: 10.1016/j.na.2017.03.010
BibTeX: Download
Burger M., Lorz A., Wolfram MT.:
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth
In: Kinetic and Related Models 10 (2017), p. 117-140
ISSN: 1937-5093
DOI: 10.3934/krm.2017005
BibTeX: Download
Grah JS., Harrington JA., Koh SB., Pike JA., Schreiner A., Burger M., Schonlieb CB., Reichelt S.:
Mathematical imaging methods for mitosis analysis in live-cell phase contrast microscopy
In: Methods null (2017)
ISSN: 1046-2023
DOI: 10.1016/j.ymeth.2017.02.001
BibTeX: Download
Neugebauer F., Moeddel G., Rampp S., Burger M., Wolters CH.:
The effect of head model simplification on beamformer source localization
In: Frontiers in Neuroscience 11 (2017)
ISSN: 1662-4548
DOI: 10.3389/fnins.2017.00625
BibTeX: Download

Brinkmann EM., Burger M., Rasch J., Sutour C.:
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
Bruna M., Burger M., Ranetbauer H., Wolfram MT.:
Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures
In: Journal of Nonlinear Science null (2016), p. 1-33
ISSN: 0938-8974
DOI: 10.1007/s00332-016-9348-z
BibTeX: Download
Burger M.:
Bregman distances in inverse problems and partial differential equations
In: J.Hiriard-Urrurty, A.Korytowski, H.Maurer, M.Szymkat (ed.): Advances in Mathematical Modeling, Optimization, and Optimal Control, Springer International Publishing, 2016, p. 3-33 (Springer Optimization and Its Applications)
DOI: 10.1007/978-3-319-30785-5_2
BibTeX: Download
Burger M., Gilboa G., Moeller M., Eckardt L., Cremers D.:
Spectral decompositions using one-homogeneous functionals
In: Siam Journal on Imaging Sciences 9 (2016), p. 1374-1408
ISSN: 1936-4954
DOI: 10.1137/15M1054687
BibTeX: Download
Burger M., Hittmeir S., Ranetbauer H., Wolfram MT.:
Lane formation by side-stepping
In: SIAM Journal on Mathematical Analysis 48 (2016), p. 981-1005
ISSN: 0036-1410
DOI: 10.1137/15M1033174
BibTeX: Download
Burger M., Lorz A., Wolfram MT.:
On a Boltzmann mean field model for knowledge growth
In: SIAM Journal on Applied Mathematics 76 (2016), p. 1799-1818
ISSN: 0036-1399
DOI: 10.1137/15M1018599
BibTeX: Download
Burger M., Pietschmann JF.:
Flow characteristics in a crowded transport model
In: Nonlinearity 29 (2016), p. 3528-3550
ISSN: 0951-7715
DOI: 10.1088/0951-7715/29/11/3528
BibTeX: Download
Burger M., Rossmanith C., Zhang X.:
Simultaneous reconstruction and segmentation for dynamic SPECT imaging
In: Inverse Problems 32 (2016)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/32/10/104002
BibTeX: Download
Gilboa G., Moeller M., Burger M.:
Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects
In: Journal of Mathematical Imaging and Vision 56 (2016), p. 300-319
ISSN: 0924-9907
DOI: 10.1007/s10851-016-0665-5
BibTeX: Download
Mannweiler D., Suhr S., Modersitzki J., Burger M.:
Variational method for motion corrected reconstruction with MRI information in positron emission tomography
2015 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2015 (usa)
DOI: 10.1109/NSSMIC.2015.7582045
BibTeX: Download
Wagner S., Burger M., Wolters CH.:
An optimization approach for well-targeted transcranial direct current stimulation
In: SIAM Journal on Applied Mathematics 76 (2016), p. 2154-2174
ISSN: 0036-1399
DOI: 10.1137/15M1026481
URL: http://epubs.siam.org/doi/10.1137/15M1026481
BibTeX: Download
Wagner S., Lucka F., Vorwerk J., Herrmann CS., Nolte G., Burger M., Wolters CH.:
Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem
In: NeuroImage 140 (2016), p. 163-173
ISSN: 1053-8119
DOI: 10.1016/j.neuroimage.2016.04.005
BibTeX: Download

2015

Brinkmann EM., Burger M., Grah J.:
Regularization with sparse vector fields: From image compression to TV-type reconstruction
5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 (Bordeaux)
DOI: 10.1007/978-3-319-18461-6_16
BibTeX: Download
Burger M., Eckardt L., Gilboa G., Moeller M.:
Spectral representations of one-homogeneous functionals
5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 (fra)
DOI: 10.1007/978-3-319-18461-6_2
BibTeX: Download
Burger M., Elvetun OL., Schlottbom M.:
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
Burger M., Elvetun OL., Schlottbom M.:
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
Burger M., Esposito T., Zeppieri CI.:
Second-order edge-penalization in the ambrosio-tortorelli functional
In: Multiscale Modeling & Simulation 13 (2015), p. 1354-1389
ISSN: 1540-3459
DOI: 10.1137/15M1020848
BibTeX: Download
Burger M., Kaltenbacher B., Neubauer A.:
Iterative Solution Methods
In: Scherzer, O (ed.): Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition, Springer New York, 2015, p. 431-470
ISBN: 9781493907892
DOI: 10.1007/978-1-4939-0790-8_9
BibTeX: Download
Heins P., Moeller M., Burger M.:
Locally sparse reconstruction using the l1,∞-norm
In: Inverse Problems and Imaging 9 (2015), p. 1093-1137
ISSN: 1930-8337
DOI: 10.3934/ipi.2015.9.1093
BibTeX: Download
Helin T., Burger M.:
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems
In: Inverse Problems 31 (2015)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/31/8/085009
BibTeX: Download
Schmidt C., Wagner S., Burger M., Van Rienen U., Wolters CH.:
Impact of uncertain head tissue conductivity in the optimization of transcranial direct current stimulation for an auditory target
In: Journal of Neural Engineering 12 (2015)
ISSN: 1741-2560
DOI: 10.1088/1741-2560/12/4/046028
BibTeX: Download

2014

Burger,Martin,Caffarelli,Luis A.,Markowich,Peter A.,:
Partial differential equation models in the socio-economic sciences
In: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 372 (2014)
ISSN: 1364-503X
DOI: 10.1098/rsta.2013.0406
BibTeX: Download
Burger,Martin M.,Caffarelli,Luis A. L.A.,Markowich,Peter P.,Wolfram,Marie Therese M.T.,:
On the asymptotic behavior of a boltzmann-type price formation model
In: Communications in Mathematical Sciences 12 (2014), p. 1353-1361
ISSN: 1539-6746
DOI: 10.4310/CMS.2014.v12.n7.a10
BibTeX: Download
Burger M., Di Francesco M., Markowich PA., Wolfram MT.:
Mean field games with nonlinear mobilities in pedestrian dynamics
In: Discrete and Continuous Dynamical Systems-Series B 19 (2014), p. 1311-1333
ISSN: 1531-3492
DOI: 10.3934/dcdsb.2014.19.1311
BibTeX: Download
Burger M., Fetecau R., Huang Y.:
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion
In: SIAM Journal on Applied Dynamical Systems 13 (2014), p. 397-424
ISSN: 1536-0040
DOI: 10.1137/130923786
BibTeX: Download
Burger M., Lucka F.:
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators
In: Inverse Problems 30 (2014)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/30/11/114004
BibTeX: Download
Burger M., Modersitzki J., Tenbrinck D.:
Mathematical methods in biomedical imaging
In: GAMM-Mitteilungen 37 (2014), p. 154-183
ISSN: 0936-7195
DOI: 10.1002/gamm.201410008
BibTeX: Download
Burger,Martin M.,Müller,Jahn J.,Papoutsellis,E. E.,Schönlieb,Carola Bibiane C.B.,:
Total variation regularization in measurement and image space for PET reconstruction
In: Inverse Problems 30 (2014)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/30/10/105003
BibTeX: Download
Moeller M., Brinkmann EM., Burger M., Seybold T.:
Color Bregman TV
In: Siam Journal on Imaging Sciences 7 (2014), p. 2771-2806
ISSN: 1936-4954
DOI: 10.1137/130943388
BibTeX: Download
Moeller M., Burger M., Dieterich P., Schwab A.:
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), p. 396-409
ISSN: 1047-3203
DOI: 10.1016/j.jvcir.2013.12.002
BibTeX: Download
Suhr S., Tenbrinck D., Burger M., Modersitzki J.:
Registration of noisy images via maximum a-posteriori estimation
In: Lecture Notes in Computer Science 8545 LNCS (2014), p. 231-240
ISSN: 0302-9743
DOI: 10.1007/978-3-319-08554-8_24
BibTeX: Download

2013

Benning M., Brune C., Burger M., Mueller J.:
Higher-order TV methods - Enhancement via Bregman iteration
In: Journal of Scientific Computing 54 (2013), p. 269-310
ISSN: 0885-7474
DOI: 10.1007/s10915-012-9650-3
BibTeX: Download
Burger M., Caffarelli L., Markowich PA., Wolfram MT.:
On a Boltzmann-type price formation model
In: Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 469 (2013)
ISSN: 1364-5021
DOI: 10.1098/rspa.2013.0126
BibTeX: Download
Burger M., Di Francesco M., Franek M.:
Stationary states of quadratic diffusion equations with long-range attraction
In: Communications in Mathematical Sciences 11 (2013), p. 709-738
ISSN: 1539-6746
DOI: 10.4310/CMS.2013.v11.n3.a3
BibTeX: Download
Burger M., Di Francesco M., Markowich PA., Wolfram MT.:
On a mean field game optimal control approach modeling fast exit scenarios in human crowds
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on (Firenze)
DOI: 10.1109/CDC.2013.6760360
BibTeX: Download
Burger M., Flemming J., Hofmann B.:
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
Burger M., Haskovec J., Wolfram MT.:
Individual based and mean-field modeling of direct aggregation
In: Physica D-Nonlinear Phenomena 260 (2013), p. 145-158
ISSN: 0167-2789
DOI: 10.1016/j.physd.2012.11.003
BibTeX: Download
Burger M., Osher S.:
A guide to the TV zoo
In: Burger Martin, Osher Stanley (ed.): Level Set and PDE-based Reconstruction Methods, 2013, p. 1-70 (Lecture Notes in Mathematics)
ISBN: 9783319017112
DOI: 10.1007/978-3-319-01712-9-1
BibTeX: Download
Burger M., Pietschmann JF., Wolfram MT.:
Identification of nonlinearities in transport-diffusion models of crowded motion
In: Inverse Problems and Imaging 7 (2013), p. 1157-1182
ISSN: 1930-8337
DOI: 10.3934/ipi.2013.7.1157
BibTeX: Download
Eppelmann U., Gottardo F., Wistuba J., Ehmcke J., Kossack N., Westernstroeer B., Redmann K., Wuebbeling F., Burger M., Tuettelmann F., Kliesch S., Mallidis C.:
Raman microspectroscopic discrimination of TCam-2 cultures reveals the presence of two sub-populations of cells
In: Cell and Tissue Research 354 (2013), p. 623-632
ISSN: 0302-766X
DOI: 10.1007/s00441-013-1684-9
BibTeX: Download
Gigengack F., Ruthotto L., Jiang X., Modersitzki J., Burger M., Hermann S., Schäfers KP.:
Atlas-based whole-body PET-CT segmentation using a passive contour distance
In: Lecture Notes in Computer Science 7766 LNCS (2013), p. 82-92
ISSN: 0302-9743
DOI: 10.1007/978-3-642-36620-8_9
BibTeX: Download
Lang T., Dechant M., Sanchez V., Wistuba J., Boiani M., Pilatz A., Stammler A., Middendorff R., Schuler G., Bhushan S., Tchatalbachev S., Wuebbeling F., Burger M., Chakraborty T., Mallidis C., Meinhardt A.:
Structural and functional integrity of spermatozoa is compromised as a consequence of acute uropathogenic E. Coli-associated epididymitis
In: Biology of Reproduction 89 (2013)
ISSN: 0006-3363
DOI: 10.1095/biolreprod.113.110379
BibTeX: Download
Moeller M., Burger M.:
Multiscale methods for polyhedral regularizations
In: SIAM Journal on Optimization 23 (2013), p. 1424-1456
ISSN: 1052-6234
DOI: 10.1137/110858136
BibTeX: Download
Pietschmann J-., Wolfram M-., Burger M., Trautmann C., Nguyen G., Pevarnik M., Bayer V., Siwy Z.:
Rectification properties of conically shaped nanopores: Consequences of miniaturization
In: Physical Chemistry Chemical Physics 15 (2013), p. 16917-16926
ISSN: 1463-9076
DOI: 10.1039/c3cp53105h
BibTeX: Download
Sawatzky A., Brune C., Kösters T., Wübbeling F., Burger M.:
EM-TV methods for inverse problems with poisson noise
In: Burger Martin, Osher Stanley (ed.): Level Set and PDE-based Reconstruction Methods, Springer, 2013, p. 71-142 (Lecture Notes in Mathematics)
ISBN: 9783319017112
DOI: 10.1007/978-3-319-01712-9-2
BibTeX: Download
Sawatzky A., Tenbrinck D., Jiang X., Burger M.:
A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models
In: Journal of Mathematical Imaging and Vision 47 (2013), p. 179-209
ISSN: 0924-9907
DOI: 10.1007/s10851-013-0419-6
BibTeX: Download

2012

Burger M., Franek M., Schönlieb CB.:
Regularized regression and density estimation based on optimal transport
In: Applied Mathematics Research eXpress 2012 (2012), p. 209-253
ISSN: 1687-1200
DOI: 10.1093/amrx/abs007
BibTeX: Download
Burger M., Möller M., Benning M., Osher S.:
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
Engbers R., Benning M., Heins P., Schäfers K., Burger M.:
Sparse recovery in myocardial blood flow quantification via PET
IEEE NSS/MIC (San Diego)
DOI: 10.1109/NSSMIC.2011.6153707
BibTeX: Download
Gigengack F., Ruthotto L., Burger M., Wolters CH., Jiang X., Schaefers KP.:
Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration.
In: IEEE Transactions on Medical Imaging 31 (2012), p. 698-712
ISSN: 0278-0062
DOI: 10.1109/TMI.2011.2175402
BibTeX: Download
Gigengack F., Ruthotto L., Burger M., Wolters CH., Jiang X., Schäfers KP.:
Mass-preserving motion correction of PET: Displacement field vs. spline transformation
2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011 (Valencia, esp)
DOI: 10.1109/NSSMIC.2011.6152559
BibTeX: Download
Gigengack F., Ruthotto L., Kosters T., Jiang X., Modersitzki J., Burger M., Hermann S., Schafers KP.:
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
Gigengack F., Ruthotto L., Kosters T., Jiang X., Modersitzki J., Burger M., Wolters CH., Schafers KP.:
Pipeline for motion correction in dual gated PET
2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012 (Anaheim, CA, usa)
DOI: 10.1109/NSSMIC.2012.6551681
BibTeX: Download
Lanfer B., Scherg M., Dannhauer M., Knoesche TR., Burger M., Wolters CH.:
Influences of skull segmentation inaccuracies on EEG source analysis.
In: NeuroImage 62 (2012), p. 418-31
ISSN: 1053-8119
DOI: 10.1016/j.neuroimage.2012.05.006
BibTeX: Download
Lucka F., Pursiainen S., Burger M., Wolters CH.:
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), p. 1364-82
ISSN: 1053-8119
DOI: 10.1016/j.neuroimage.2012.04.017
BibTeX: Download
Moeller M., Wittman T., Bertozzi AL., Burger M.:
A variational approach for sharpening high dimensional images
In: Siam Journal on Imaging Sciences 5 (2012), p. 150-178
ISSN: 1936-4954
DOI: 10.1137/100810356
BibTeX: Download
Müller J., Brune C., Sawatzky A., Kösters T., Schäfers KP., Burger M.:
Reconstruction of short time PET scans using Bregman iterations
2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011 (Valencia, esp)
DOI: 10.1109/NSSMIC.2011.6153884
BibTeX: Download
Ruthotto L., Gigengack F., Burger M., Wolters CH., Jiang X., Schäfers KP., Modersitzki J.:
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
Ruthotto L., Kugel H., Olesch J., Fischer B., Modersitzki J., Burger M., Wolters CH.:
Diffeomorphic susceptibility artifact correction of diffusion-weighted magnetic resonance images.
In: Physics in Medicine and Biology 57 (2012), p. 5715-31
ISSN: 0031-9155
DOI: 10.1088/0031-9155/57/18/5715
BibTeX: Download
Sanchez V., Redmann K., Wistuba J., Wuebbeling F., Burger M., Oldenhof H., Wolkers WF., Kliesch S., Schlatt S., Mallidis C.:
Oxidative DNA damage in human sperm can be detected by Raman microspectroscopy
In: Fertility and Sterility 98 (2012)
ISSN: 0015-0282
DOI: 10.1016/j.fertnstert.2012.07.1059
BibTeX: Download
Stueck R., Burger M., Hohage T.:
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4pi-microscopy
In: Inverse Problems 28 (2012)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/28/1/015012
URL: http://iopscience.iop.org/0266-5611/28/1/015012
BibTeX: Download
Tenbrinck D., Sawatzky A., Jiang X., Burger M., Haffner W., Willems P., Paul M., Stypmann J.:
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
Vorwerk J., Clerc M., Burger M., Wolters CH.:
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
Wagner S., Lucka F., Burger M., Grasedyck L., Haueisen J., Wolters CH.:
Comparison of direct and reciprocal forward modeling approaches in EEG source analysis
In: Biomedizinische Technik 57 1 (2012), p. -
ISSN: 0013-5585
DOI: 10.1515/bmt-2012-4069
BibTeX: Download

2011

Benning M., Burger M.:
Error estimates for general fidelities
In: Electronic Transactions on Numerical Analysis 38 (2011), p. 44-68
ISSN: 1068-9613
BibTeX: Download
Brune C., Sawatzky A., Burger M.:
Primal and Dual Bregman Methods with Application to Optical Nanoscopy
In: International Journal of Computer Vision 92 (2011), p. 211-229
ISSN: 0920-5691
DOI: 10.1007/s11263-010-0339-5
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), p. 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
Burger M.:
Inverse problems in ion channel modelling
In: Inverse Problems 27 (2011)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/27/8/083001
BibTeX: Download
(Rezension)
Burger M., Matevosyan N., Wolfram MT.:
A level set based shape optimization method for an elliptic obstacle problem
In: Mathematical Models & Methods in Applied Sciences 21 (2011), p. 619-649
ISSN: 0218-2025
DOI: 10.1142/S0218202511005155
BibTeX: Download
Burger M., Modersitzki J., Ruthotto L.:
A hyperelastic regularization energy for image registration
In: SIAM Journal on Scientific Computing (2011)
ISSN: 1064-8275
DOI: 10.1137/110835955
BibTeX: Download
Burger M., Pinnau R.:
Optimization Models for Semiconductor Devices
2011
BibTeX: Download
Burger M., Schlake B., Wolfram MT.:
Nonlinear Poisson-Nernst Planck equations for ion flux through confined geometries
In: Nonlinearity (2011)
ISSN: 0951-7715
DOI: 10.1088/0951-7715/25/4/961
BibTeX: Download
Engbers R., Burger M., Capasso V.:
Inverse problems in geographical economics: Parameter identification in the spatial Solow model
In: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences (2011)
ISSN: 1364-503X
DOI: 10.1098/rsta.2013.0402
BibTeX: Download
Gigengack F., Ruthotto L., Burger M., Wolters CH., Jiang X., Schäfers KP.:
Mass preserving motion correction of dual gated cardiac PET
IEEE NSS/MIC 2011 (Valencia)
DOI: 10.1109/NSSMIC.2011.6153658
BibTeX: Download
Lucka F., Pursiainen S., Burger M., Wolters CH.:
Hierarchical bayesian models for EEG inversion: Depth localization and source separation for focal sources in realistic FE head models
In: Biomedizinische Technik 56 (2011), p. 1-4
ISSN: 0013-5585
DOI: 10.1515/BMT.2011.817
BibTeX: Download
Mallidis C., Wistuba J., Bleisteiner B., Damm OS., Gross P., Wuebbeling F., Fallnich C., Burger M., Schlatt S.:
In situ visualization of damaged DNA in human sperm by Raman microspectroscopy
In: Human Reproduction 26 (2011), p. 1641-9
ISSN: 0268-1161
DOI: 10.1093/humrep/der122
BibTeX: Download
Müller J, Brune C, Sawatzky A, Kösters T, Wübbeling F, Schäfers K, Burger M:
Reconstruction of short time PET scans using Bregman iterations
IEEE NSS/MIC 2011 (Valencia, Spain)
DOI: 10.1109/NSSMIC.2011.6153884
BibTeX: Download

2010

Benning M., Heins P., Burger M.:
A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting
ICNAAM 2010
DOI: 10.1063/1.3498318
BibTeX: Download
Burger M., Carrillo JA., Wolfram MT.:
A mixed finite element method for nonlinear diffusion equations
In: Kinetic and Related Models 3 (2010), p. 59-83
ISSN: 1937-5093
DOI: 10.3934/krm.2010.3.59
BibTeX: Download
Burger M., Di Francesco M., Pietschmann JF., Schlake B.:
Nonlinear cross-diffusion with size exclusion
In: SIAM Journal on Mathematical Analysis 42 (2010), p. 2842-2871
ISSN: 0036-1410
DOI: 10.1137/100783674
BibTeX: Download
Burger M., Mardal KA., Nielsen BF.:
Stability analysis of the inverse transmembrane potential problem in electrocardiography
In: Inverse Problems 26 (2010), p. 105012
ISSN: 0266-5611
DOI: 10.1088/0266-5611/26/10/105012
BibTeX: Download
Dawood M., Brune C., Jiang X., Büther F., Burger M., Schober O., Schäfers M., Schäfers KP.:
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 (ed.): 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
Gigengack F., Ruthotto L., Burger M., Wolters CH., Jiang X., Schafers K.:
Motion correction of cardiac PET using mass-preserving registration
2010 IEEE Nuclear Science Symposium, Medical Imaging Conference, NSS/MIC 2010 and 17th International Workshop on Room-Temperature Semiconductor X-ray and Gamma-ray Detectors, RTSD 2010 (Knoxville, TN, usa)
DOI: 10.1109/NSSMIC.2010.5874418
BibTeX: Download
Mallidis C., Wistuba J., Bleisteiner B., Gross P., Wuebbeling F., Fallnich C., Burger M., Schlatt S.:
Confocal Raman microspectroscopy, the future for semen analysis?
DOI: 10.1111/j.1365-2605.2010.01106.x
BibTeX: Download
Sawatzky A., Burger M.:
Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy
ICNAAM 2010 (Rhodes, Greece)
DOI: 10.1063/1.3498325
BibTeX: Download
Wolfram MT., Burger M., Siwy ZS.:
Mathematical modeling and simulation of nanopore blocking by precipitation
In: Journal of Physics: Condensed Matter 22 (2010), p. 45401
ISSN: 0953-8984
DOI: 10.1088/0953-8984/22/45/454101
BibTeX: Download
Zhang X., Burger M., Bresson X., Osher S.:
Bregmanized nonlocal regularization for deconvolution and sparsereconstruction
In: Siam Journal on Imaging Sciences 3 (2010), p. 253--276
ISSN: 1936-4954
DOI: 10.1137/090746379
BibTeX: Download
Zhang X., Burger M., Osher S.:
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

Bachmayr M., Burger M.:
Iterative total variation schemes for nonlinear inverse problems
In: Inverse Problems 25 (2009)
ISSN: 0266-5611
DOI: 10.1088/0266-5611/25/10/105004
BibTeX: Download
Brune C., Sawatzky A., Burger M.:
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
Burger M., He L., Schoenlieb CB.:
Cahn-Hilliard inpainting and a generalization for grayvalue image
In: Siam Journal on Imaging Sciences 3 (2009), p. 3
ISSN: 1936-4954
DOI: 10.1137/080728548
BibTeX: Download
Sawatzky A., Brune C., Müller J., Burger M.:
Total Variation Processing of Images with Poisson Statistics
CAIP 2009 (Münster, Deutschland)
DOI: 10.1007/978-3-642-03767-2_65
BibTeX: Download
Schellmann M., Gorlatch S., Meiländer D., Kösters T., Schäfers K., Wübbeling F., Burger M.:
Parallel medical image reconstruction: From graphics processors to grids
10th International Conference PaCT (Novosibirsk, Russia)
DOI: 10.1007/978-3-642-03275-2_45
BibTeX: Download
Schellmann M., Gorlatch S., Meiländer D., Kösters T., Schäfers K., Wübbeling F., Burger M.:
Parallel medical image reconstruction: From graphics processors to grids
In: Lecture Notes in Computer Science 5698 LNCS (2009), p. 457-473
ISSN: 0302-9743
DOI: 10.1007/978-3-642-03275-2_45
BibTeX: Download
Steinstraeter O., Sillekens S., Junghoefer M., Burger M., Wolters CH.:
Sensitivity of beamformer source analysis to deficiencies in forward modeling
In: Human Brain Mapping 31 (2009), p. 1907-1927
ISSN: 1065-9471
DOI: 10.1002/hbm.20986
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
Burger M.:
A note on sparse reconstruction methods
AIP 2007 (Vancouver)
In: Uhlmann G (ed.): 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
Burger M.:
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
Arning K, Burger M, Eisenberg B, Engl H, He L:
Inverse problems related to ion channels
ICIAM 2007
In: PAMM Special Issue: ICIAM 07 2008
DOI: 10.1002/pamm.200700396
BibTeX: Download
Burger M., Chu SY., Markowich PA., Schönlieb CB.:
The Willmore functional and instabilities in the Cahn-Hilliard equation
In: Communications in Mathematical Sciences 6 (2008), p. 309-329
ISSN: 1539-6746
DOI: 10.4310/CMS.2008.v6.n2.a3
BibTeX: Download
Burger M., Di Francesco M.:
Large time behavior of nonlocal aggregation models with nonlinear diffusion
In: Networks and Heterogeneous Media 3 (2008), p. 749-785
ISSN: 1556-1801
DOI: 10.3934/nhm.2008.3.749
BibTeX: Download
Burger M., Dolak-Struss Y., Schmeiser C.:
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions
In: Communications in Mathematical Sciences 6 (2008), p. 1-28
ISSN: 1539-6746
DOI: 10.4310/CMS.2008.v6.n1.a1
BibTeX: Download
Burger M., Landa Y., Tanushev NM., Tsai R.:
Discovering point sources in unknown environments
WAFR 2008
DOI: 10.1007/978-3-642-00312-7_41
BibTeX: Download
Burger M., Pinnau R.:
A Globally Covergent Gummel Map for Optimal Dopant Profiling
In: Mathematical Models & Methods in Applied Sciences 19 (2008)
ISSN: 0218-2025
BibTeX: Download
Burger M., Pinnau R., Wolfram MT.:
On-/Off-State design of semiconductor doping profiles
In: Communications in Mathematical Sciences 6 (2008), p. 1021-1041
ISSN: 1539-6746
BibTeX: Download
Burger M., Stoecker C., Voigt A.:
Finite element based level set methods for higher order flows
In: Journal of Scientific Computing 35 (2008), p. 77-98
ISSN: 0885-7474
DOI: 10.1007/s10915-008-9204-x
BibTeX: Download
Favaro P., Soatto S., Burger M., Osher SJ.:
Shape from Defocus via Diffusion
In: IEEE Transactions on Pattern Analysis and Machine Intelligence 30 (2008), p. 518-531
ISSN: 0162-8828
DOI: 10.1109/TPAMI.2007.1175
BibTeX: Download
Sawatzky A., Brune C., Wiibbeling F., Kosters T., Schäfers K., Burger M.:
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), p. 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 (ed.): Math Everywhere, Berlin: Springer, 2007, p. 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), p. 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), p. 46--52 (electronic)
ISSN: 1079-6762
DOI: 10.1090/S1079-6762-07-00173-4
BibTeX: Download
Burger M, Eisenberg B, Engl H:
Inverse problems related to ion channel selectivity
In: SIAM Journal on Applied Mathematics 67 (2007), p. 960-989
ISSN: 0036-1399
DOI: 10.1137/060664689
BibTeX: Download
Burger M, Frick K, Osher S, Scherzer O:
Inverse total variation flow
In: Multiscale Modeling & Simulation 6 (2007), p. 366-395.
ISSN: 1540-3459
BibTeX: Download
Ben Ameur H, Burger M, Hackl B:
On some geometric inverse problems in linear elasticity
In: Mathematical Methods in the Applied Sciences 30 (2007), p. 625-647
ISSN: 0170-4214
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
Burger M. (ed.):
Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry
2006
BibTeX: Download
He L, Burger M, Osher S:
Iterative total variation regularization with non-quadratic fidelity
In: Journal of Mathematical Imaging and Vision 26 (2006), p. 167-184
ISSN: 0924-9907
DOI: 10.1007/s10851-006-8302-3
BibTeX: Download
Burger M, Capasso V, Pizzocchero L:
Mesoscale averaging of nucleation and growth processes
In: Multiscale Modeling & Simulation 5 (2006), p. 564 - 592
ISSN: 1540-3459
BibTeX: Download
Burger M, Gilboa G, Osher S, Xu J:
Nonlinear inverse scale space methods
In: Communications in Mathematical Sciences 4 (2006), p. 179-212
ISSN: 1539-6746
DOI: 10.4310/CMS.2006.v4.n1.a7
BibTeX: Download
Burger M, Capasso V, Morale D:
On an aggregation model with long and short range interactions
In: Nonlinear Analysis-Real World Applications 8 (2006), p. 939-958
ISSN: 1468-1218
DOI: 10.1016/j.nonrwa.2006.04.002
BibTeX: Download
Burger M, Hinze M, Pinnau R:
Optimization models for semiconductor dopant profiling
In: Cercignani C, Gabetta E (ed.): Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, Boston: 2006
DOI: 10.1007/978-0-8176-4554-0_5
BibTeX: Download
Burger M, Stainko R:
Phase-field relaxation of topology optimization with local stress constraints,
In: SIAM Journal on Control and Optimization 45 (2006), p. 1447-1466
ISSN: 0363-0129
DOI: 10.1137/05062723X
BibTeX: Download
Burger M, Kaltenbacher B:
Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems
In: SIAM Journal on Numerical Analysis 44 (2006), p. 153--182
ISSN: 0036-1429
DOI: 10.1137/040613779
BibTeX: Download
Burger M.:
Surface diffusion including adatoms
In: Communications in Mathematical Sciences 4 (2006), p. 1-51
ISSN: 1539-6746
DOI: 10.4310/CMS.2006.v4.n1.a1
BibTeX: Download
Burger M, DiFrancesco M, Dolak-Struss Y:
The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion
In: SIAM Journal on Mathematical Analysis 38 (2006), p. 1288-1315
ISSN: 0036-1410
BibTeX: Download
Su B, Burger M:
Weak solutions of a polymer crystal growth model
(2006)
BibTeX: Download
(Techreport)

2005

Burger M.:
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), p. 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), p. 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), p. 1-22
ISSN: 0010-485X
BibTeX: Download
Wolfram M, Burger M:
Inverse dopant profiling for highly doped semiconductor devices
5th MATHMOD (Vienna)
BibTeX: Download
Burger M, Gilboa G, Osher S, Xu J:
Nonlinear inverse scale space methods for image restoration
Variational and Level Set Methods 2005
DOI: 10.1007/11567646_3
BibTeX: Download
Burger M.:
Numerical simulation of anisotropic surface diffusion with curvature-dependent energy
In: Journal of Computational Physics 203 (2005), p. 602-625
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2004.08.024
BibTeX: Download
Burger M, Hintermueller M:
Projected gradient flows for BV / level set relaxation
In: Proceedings in Applied Mathematics and Mechanics 5 (2005), p. 11-14
ISSN: 1617-7061
DOI: 10.1002/pamm.200510004
BibTeX: Download
Burger M, Gu H:
Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations
Workshop on Symbolic-Numerical Computation 2005
BibTeX: Download

2004

Burger M, Osher S:
Convergence rates of convex variational regularization
In: Inverse Problems 20 (2004), p. 1411-1421
ISSN: 0266-5611
DOI: 10.1088/0266-5611/20/5/005
BibTeX: Download
Burger M.:
Growth of multiple crystals in polymer melts
In: European Journal of Applied Mathematics 15 (2004), p. 347-363
ISSN: 0956-7925
DOI: 10.1017/S0956792504005522
BibTeX: Download
Burger M, Hackl B, Ring W:
Incorporating topological derivatives into level set methods
In: Journal of Computational Physics 194 (2004), p. 344-362
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2003.09.033
BibTeX: Download
Burger M, Osher S, Yablonovitch E:
Inverse problem techniques for the design of photonic crystals
In: IEICE Transactions on Electronics 87 C (2004), p. 258-265
ISSN: 0916-8524
BibTeX: Download
Ben Ameur H, Burger M, Hackl B:
Level set methods for geometric inverse problems in linear elasticity
In: Inverse Problems 20 (2004), p. 673-696
ISSN: 0266-5611
BibTeX: Download
Burger M.:
Levenberg-Marquardt level set methods for inverse obstacle problems
In: Inverse Problems 20 (2004), p. 673-696
ISSN: 0266-5611
DOI: 10.1088/0266-5611/20/1/016
BibTeX: Download
Burger M, Engl H, Leitao A, Markowich P:
On inverse problems for semiconductor equations
In: Milan Journal of Mathematics 72 (2004), p. 273-314
ISSN: 1424-9286
BibTeX: Download
Burger M, Capasso V, Micheletti A:
Optimal control of polymer morphologies
In: Journal of Engineering Mathematics 49 (2004), p. 339-358
ISSN: 0022-0833
DOI: 10.1023/B:ENGI.0000032692.56508.a7
BibTeX: Download
Favaro P, Burger M, Soatto S:
Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion
ECCV
DOI: 10.1007/978-3-540-24670-1_20
BibTeX: Download

2003

Burger M.:
A framework for the construction of level set methods for shape optimization and reconstruction
In: Interfaces and Free Boundaries 5 (2003), p. 301-329
ISSN: 1463-9971
DOI: 10.4171/IFB/81
BibTeX: Download
Burger M.:
Growth and impingement in polymer melts
FBP 2002 (Trento)
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Burger M, Markowich P:
Model reduction for semiconductor inverse dopant profiling
MATHMOD 03, 4th IMACS Symposium on Mathematical Modelling (Vienna)
In: Troch I, Breitenecker F (ed.): Proceedings of the 4th IMACS Symposium on Mathematical Modelling 2003
BibTeX: Download
Burger M., Pinnau R.:
Fast optimal design of semiconductor devices
In: SIAM Journal on Applied Mathematics 64 (2003), p. 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), p. 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
Burger M, Engl H, Markowich P:
Inverse doping problems for semiconductor devices
Recent Progress in Computational and Applied PDEs
DOI: 10.1007/978-1-4615-0113-8_3
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Burger M, Mühlhuber W:
Iterative regularization of parameter identification problems by SQP methods
In: Inverse Problems 18 (2002), p. 943-970
ISSN: 0266-5611
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Burger M, Capasso V, Micheletti A:
Mathematical modelling of the crystallization process of polymers
5th Hellenic Conference on Computer Mathematics and its Applications (Athens)
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Capasso V, Burger M, Micheletti A, Salani C:
Mathematical models for polymer crystallization processes
In: Capasso V (ed.): Mathematical modelling for polymer industry, Springer, 2002, p. 167-242
DOI: 10.1007/978-3-642-55771-2_5
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Burger M, Capasso V, Eder G:
Modelling crystallization of polymers in temperature fields
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 82 (2002), p. 51-63
ISSN: 0044-2267
DOI: 10.1002/1521-4001(200201)82:13.0.CO;2-8
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Burger M, Capasso V, Salani C:
Modelling multi-dimensional crystallization of polymers in interaction with heat transfer
In: Nonlinear Analysis-Real World Applications 3 (2002), p. 139-160
ISSN: 1468-1218
DOI: 10.1016/S1468-1218(01)00019-0
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Burger M, Mühlhuber W:
Numerical approximation of an SQP-type method for parameter identification
In: SIAM Journal on Numerical Analysis 40 (2002), p. 1775--1797
ISSN: 0036-1429
DOI: 10.1137/S0036142901389980
BibTeX: Download
Burger M, Haslinger J, Engl H, Bodenhofer U:
Regularized data-driven construction of fuzzy controllers
In: Journal of Inverse and Ill-posed Problems 10 (2002), p. 319-344
ISSN: 0928-0219
DOI: 10.1515/jiip.2002.10.4.319
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Haslinger J, Bodenhofer U, Burger M:
Tuning of fuzzy systems as an ill-posed problem
ECMI 2000 (Palermo)
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2001

Burger M.:
A level set method for inverse problems
In: Inverse Problems 17 (2001), p. 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), p. 235-250
ISSN: 0021-9045
DOI: 10.1006/jath.2001.3613
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Burger M, Engl H, Markowich P, Pietra P:
Identification of doping profiles in semiconductor device
In: Inverse Problems 17 (2001), p. 1765-1795
ISSN: 0266-5611
DOI: 10.1088/0266-5611/17/6/315
BibTeX: Download
Burger M.:
Iterative regularization of a parameter identification problem occurring in polymer crystallization
In: SIAM Journal on Numerical Analysis 39 (2001), p. 1029-1054
ISSN: 0036-1429
DOI: 10.1137/S0036142999363772
BibTeX: Download
Burger M, Capasso V:
Mathematical modelling and simulation of non-isothermal crystallization of polymers
In: Mathematical Models & Methods in Applied Sciences 11 (2001), p. 1029-1054
ISSN: 0218-2025
DOI: 10.1142/S0218202501001227
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Burger M, Scherzer O:
Regularization methods for blind deconvolution and blind source separation problems
In: Mathematics of Control Signals and Systems 14 (2001), p. 358-383
ISSN: 0932-4194
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Micheletti A, Burger M:
Stochastic and deterministic simulation of nonisothermal crystallization of polymers
In: Journal of Mathematical Chemistry 30 (2001), p. 169--193
ISSN: 0259-9791
DOI: 10.1023/A:1017923703579
BibTeX: Download

2000

Burger M, Engl H:
Training neural networks with noisy data as an ill-posed problem
In: Advances in Computational Mathematics 13 (2000), p. 335-354.
ISSN: 1019-7168
BibTeX: Download

1999

Burger M, Capasso V, Engl H:
Inverse problems related to crystallization of polymers
In: Inverse Problems 15 (1999), p. 155-173
ISSN: 0266-5611
DOI: 10.1088/0266-5611/15/1/018
BibTeX: Download
Burger M, Capasso V, Eder G, Engl H:
Modelling and parameter-identification in non-isothermal crystallization of polymers
EcMI 98 (Gothenburg)
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Teaching

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