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  4. Prof. Dr. Martin Burger

Prof. Dr. Martin Burger

In page navigation: Applied Mathematics 1
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    • Dr. Vadym Aizinger
    • Dr. Apratim Bhattacharya
    • Astrid Bigott
    • Dr. Leon Bungert
    • Prof. Dr. Martin Burger
    • Dr. Tobias Elbinger
    • PD Dr. Florian Frank
    • Dr. Antonio Esposito
    • Dr. Lea Föcke
    • Dr. Hubertus Grillmeier
    • Samira Kabri
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    • Dr. Markus Knodel
    • Alice Lieu, PhD
    • Dr. Balthasar Reuter
    • Dr. Andreas Rupp
    • Doris Schneider
    • Dr. habil. Raphael Schulz
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Prof. Dr. Martin Burger

Prof. Dr. Martin Burger

Prof. Dr. Martin Burger

Department of Mathematics
Chair of Applied Mathematics (Modeling and Numerics) (N.N.)

Cauerstr. 11
91058 Erlangen
  • Email: martin.burger@fau.de
  • Website: https://www.math.fau.de/person/prof-dr-martin-burger/

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)
    BibTeX: Download
  • 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
    BibTeX: Download
  • Burger M, Mühlhuber W:
    Iterative regularization of parameter identification problems by SQP methods
    In: Inverse Problems 18 (2002), p. 943-970
    ISSN: 0266-5611
    BibTeX: Download
  • Burger M, Capasso V, Micheletti A:
    Mathematical modelling of the crystallization process of polymers
    5th Hellenic Conference on Computer Mathematics and its Applications (Athens)
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • Haslinger J, Bodenhofer U, Burger M:
    Tuning of fuzzy systems as an ill-posed problem
    ECMI 2000 (Palermo)
    BibTeX: Download

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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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
    BibTeX: Download
  • 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)
    BibTeX: Download

Teaching

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