Martin Burger

2024

• Fazeny A., Tenbrinck D., Lukin K., Burger M.:
  Hypergraph p-Laplacians and Scale Spaces
  In: Journal of Mathematical Imaging and Vision (2024)
  ISSN: 0924-9907
  DOI: 10.1007/s10851-024-01183-0
  URL: https://link.springer.com/article/10.1007/s10851-024-01183-0

2023

• Burger M., Rossi A.:
  ANALYSIS OF KINETIC MODELS FOR LABEL SWITCHING AND STOCHASTIC GRADIENT DESCENT
  In: Kinetic and Related Models (2023)
  ISSN: 1937-5093
  DOI: 10.3934/krm.2023005
• Fazeny A., Tenbrinck D., Burger M.:
  Hypergraph p-Laplacians, Scale Spaces, and Information Flow in Networks
  International Conference on Scale Space and Variational Methods in Computer Vision (Santa Margherita di Pula, May 21, 2023 - May 25, 2023)
  In: SSVM 2023: Scale Space and Variational Methods in Computer Vision 2023
  DOI: 10.1007/978-3-031-31975-4_52
• Kabri S., Roith T., Tenbrinck D., Burger M.:
  Resolution-Invariant Image Classification Based on Fourier Neural Operators
  International Conference on Scale Space and Variational Methods in Computer Vision (Santa Margherita di Pula, May 23, 2023 - May 25, 2023)
  In: Scale Space and Variational Methods in Computer Vision 2023
  DOI: 10.1007/978-3-031-31975-4_18

2022

• Bhattacharjee P., Burger M., Boerner A., Morgenshtern V.:
  Region-of-Interest Prioritised Sampling for Constrained Autonomous Exploration Systems
  In: IEEE Transactions on Computational Imaging (2022)
  ISSN: 2333-9403
  DOI: 10.1109/TCI.2022.3163552
• Bozorgnia F., Burger M., Fotouhi M.:
  ON A CLASS OF SINGULARLY PERTURBED ELLIPTIC SYSTEMS WITH ASYMPTOTIC PHASE SEGREGATION
  In: Discrete and Continuous Dynamical Systems (2022)
  ISSN: 1078-0947
  DOI: 10.3934/dcds.2022023
• Bruna M., Burger M., Esposito A., Schulz S.:
  WELL-POSEDNESS OF AN INTEGRO-DIFFERENTIAL MODEL FOR ACTIVE BROWNIAN PARTICLES
  In: SIAM Journal on Mathematical Analysis 54 (2022), p. 5662-5697
  ISSN: 0036-1410
  DOI: 10.1137/21M1462039
• Bruna M., Burger M., Esposito A., Schulz SM.:
  PHASE SEPARATION IN SYSTEMS OF INTERACTING ACTIVE BROWNIAN PARTICLES
  In: SIAM Journal on Applied Mathematics 82 (2022), p. 1635-1660
  ISSN: 0036-1399
  DOI: 10.1137/21M1452524
• Bruna M., Burger M., Pietschmann JF., Wolfram MT.:
  Active Crowds
  DOI: 10.1007/978-3-030-93302-9_2
• Bungert L., Burger M.:
  Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions
  DOI: 10.1016/bs.hna.2021.12.013
• Bungert L., Roith T., Tenbrinck D., Burger M.:
  A Bregman Learning Framework for Sparse Neural Networks
  In: Journal of Machine Learning Research (2022)
  ISSN: 1532-4435
  Open Access: https://www.jmlr.org/papers/v23/21-0545.html
• Burger M.:
  KINETIC EQUATIONS FOR PROCESSES ON CO-EVOLVING NETWORKS
  In: Kinetic and Related Models (2022)
  ISSN: 1937-5093
  DOI: 10.3934/krm.2021051
• Hopf K., Burger M.:
  On multi-species diffusion with size exclusion
  In: Nonlinear Analysis - Theory Methods & Applications 224 (2022)
  ISSN: 0362-546X
  DOI: 10.1016/j.na.2022.113092
• Werner P., Burger M., Frank F., Garcke H.:
  A diffuse interface model for cell blebbing including membrane-cortex coupling with linker dynamics
  In: SIAM Journal on Applied Mathematics 3 (2022), p. 1091-1112
  ISSN: 0036-1399
  DOI: 10.1137/21m1433642

2021

• Burger M.:
  Network Structured Kinetic Models of Social Interactions
  In: Vietnam Journal of Mathematics (2021)
  ISSN: 0866-7179
  DOI: 10.1007/s10013-021-00505-8
• Burger M., Hauptmann A., Helin T., Hyvonen N., Puska JP.:
  Sequentially optimized projections in x-ray imaging *
  In: Inverse Problems 37 (2021)
  ISSN: 0266-5611
  DOI: 10.1088/1361-6420/ac01a4
• Burger M., Kreusser LM., Totzeck C.:
  Mean-field optimal control for biological pattern formation
  In: Esaim-Control Optimisation and Calculus of Variations 27 (2021), Article No.: 40
  ISSN: 1262-3377
  DOI: 10.1051/cocv/2021034
• Burger M., Pinnau R., Totzeck C., Tse O.:
  Mean-field optimal control and optimality conditions in the space of probability measures
  In: SIAM Journal on Control and Optimization 59 (2021), p. 977-1006
  ISSN: 0363-0129
  DOI: 10.1137/19M1249461
• Burger M., Weinan E., Ruthotto L., Osher SJ.:
  Connections between deep learning and partial differential equations
  In: European Journal of Applied Mathematics 32 (2021), p. 395-396
  ISSN: 0956-7925
  DOI: 10.1017/S0956792521000085
• Koulouri A., Heins P., Burger M.:
  Adaptive Superresolution in Deconvolution of Sparse Peaks
  In: IEEE Transactions on Signal Processing 69 (2021), p. 165-178
  ISSN: 1053-587X
  DOI: 10.1109/TSP.2020.3037373
• Schwinn L., Nguyen A., Raab R., Bungert L., Tenbrinck D., Zanca D., Burger M., Eskofier B.:
  Identifying untrustworthy predictions in neural networks by geometric gradient analysis
  Conference on Uncertainty in Artificial Intelligence (UAI) (Online, July 27, 2021 - July 30, 2021)
  URL: https://arxiv.org/abs/2102.12196
• Schwinn L., Nguyen A., Raab R., Zanca D., Eskofier B., Tenbrinck D., Burger M.:
  Dynamically Sampled Nonlocal Gradients for Stronger Adversarial Attacks
  International Joint Conference on Neural Networks (IJCNN) (Online, July 18, 2021 - July 22, 2021)
  DOI: 10.1109/ijcnn52387.2021.9534190

2020

• Arridge SR., Burger M., Ehrhardt MJ.:
  Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging
  In: Inverse Problems 36 (2020)
  ISSN: 0266-5611
  DOI: 10.1088/1361-6420/ab4abb
• Bruna M., Burger M., Carrillo JA.:
  Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient flow structure
  In: European Journal of Applied Mathematics (2020)
  ISSN: 0956-7925
  DOI: 10.1017/S0956792520000285
• Bungert L., Burger M., Korolev Y., Schönlieb CB.:
  Variational regularisation for inverse problems with imperfect forward operators and general noise models
  In: Inverse Problems 36 (2020)
  ISSN: 0266-5611
  DOI: 10.1088/1361-6420/abc531
  URL: https://iopscience.iop.org/article/10.1088/1361-6420/abc531
• Bungert L., Korolev Y., Burger M.:
  Structural analysis of an L-infinity variational problem and relations to distance functions
  In: Pure and Applied Analysis 2 (2020), p. 703 - 738
  ISSN: 2578-5893
  DOI: 10.2140/paa.2020.2.703
  URL: https://arxiv.org/abs/2001.07411
• Burger M., Carrillo JA., Pietschmann JF., Schmidtchen M.:
  Segregation effects and gap formation in cross-diffusion models
  In: Interfaces and Free Boundaries 22 (2020), p. 175-203
  ISSN: 1463-9963
  DOI: 10.4171/IFB/438
• Burger M., Friele P., Pietschmann JF.:
  On a reaction-cross-diffusion system modeling the growth of glioblastoma
  In: SIAM Journal on Applied Mathematics 80 (2020), p. 160-182
  ISSN: 0036-1399
  DOI: 10.1137/18M1194559
• Burger M., Humpert I., Pietschmann JF.:
  ON FOKKER-PLANCK EQUATIONS WITH IN- AND OUTFLOW OF MASS
  In: Kinetic and Related Models 13 (2020), p. 249-277
  ISSN: 1937-5093
  DOI: 10.3934/krm.2020009
• Burger M., Laurencot P., Trescases A.:
  Delayed blow-up for chemotaxis models with local sensing
  In: Journal of the London Mathematical Society-Second Series (2020)
  ISSN: 0024-6107
  DOI: 10.1112/jlms.12420
• Burger M., Pietschmann JF., Wolfram MT.:
  Data assimilation in price formation
  In: Inverse Problems 36 (2020)
  ISSN: 0266-5611
  DOI: 10.1088/1361-6420/ab6d5a
• Burger M., Pinnau R., Totzeck C., Tse O., Roth A.:
  Instantaneous control of interacting particle systems in the mean-field limit
  In: Journal of Computational Physics 405 (2020), Article No.: 109181
  ISSN: 0021-9991
  DOI: 10.1016/j.jcp.2019.109181
• Burger M., Resmerita E., Benning M.:
  An entropic Landweber method for linear ill-posed problems
  In: Inverse Problems 36 (2020), Article No.: 015009
  ISSN: 0266-5611
  DOI: 10.1088/1361-6420/ab5c49
• Drechsler M., Lang LF., Al-Khatib L., Dirks H., Burger M., Schönlieb CB., Palacios IM.:
  Optical flow analysis reveals that Kinesin-mediated advection impacts the orientation of microtubules in the Drosophila oocyte
  In: Molecular Biology of the Cell 31 (2020), p. 1246-1258
  ISSN: 1059-1524
  DOI: 10.1091/mbc.E19-08-0440
• Gross-Thebing S., Truszkowski L., Tenbrinck D., Sanchez-Iranzo H., Camelo C., Westerich KJ., Singh A., Maier P., Prengel J., Lange P., Huewel J., Gaede F., Sasse R., Vos BE., Betz T., Matis M., Prevedel R., Luschnig S., Diz-Munoz A., Burger M., Raz E.:
  Using migrating cells as probes to illuminate features in live embryonic tissues
  In: Science Advances 6 (2020)
  ISSN: 2375-2548
  DOI: 10.1126/sciadv.abc5546
• Hong BW., Koo J., Burger M., Soatto S.:
  Adaptive Regularization of Some Inverse Problems in Image Analysis
  In: IEEE Transactions on Image Processing 29 (2020), p. 2507-2521
  ISSN: 1057-7149
  DOI: 10.1109/TIP.2019.2960587

2019

• 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
• 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
• 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
• 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
• Bungert L., Burger M., Tenbrinck D.:
  Computing Nonlinear Eigenfunctions via Gradient Flow Extinction
  SSVM 2019 (Hofgeismar, June 30, 2019 - July 4, 2019)
  DOI: 10.1007/978-3-030-22368-7_23
  URL: https://arxiv.org/abs/1902.10414
• 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
• 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
• 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
• 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, June 30, 2019 - July 4, 2019)
  In: Jan Lellmann, Jan Modersitzki, Martin Burger (ed.): Lecture Notes in Computer Science 2019
  DOI: 10.1007/978-3-030-22368-7_38

2018

• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

2017

• 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, June 4, 2017 - June 8, 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
• 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
• 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
• 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
• 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
• 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

2016

• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

2011

• Benning M., Burger M.:
  Error estimates for general fidelities
  In: Electronic Transactions on Numerical Analysis 38 (2011), p. 44-68
  ISSN: 1068-9613
• 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
• 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
• 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
• Burger M.:
  Inverse problems in ion channel modelling
  In: Inverse Problems 27 (2011)
  ISSN: 0266-5611
  DOI: 10.1088/0266-5611/27/8/083001
  (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
• 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
• Burger M., Pinnau R.:
  Optimization Models for Semiconductor Devices
  2011
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• 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
• 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
• Sawatzky A., Burger M.:
  Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy
  ICNAAM 2010 (Rhodes, Greece)
  DOI: 10.1063/1.3498325
• 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
• 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
• 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

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
• 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
• Schönlieb C, Bertozzi A, Burger M, He L:
  Image inpainting using a fourth-order total variation flow
  SampTA09 (Marseille)
• 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
• 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
• 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
• 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
• 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

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
• 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)
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• 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
• 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
• 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
• 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
• Burger M, Frick K, Osher S, Scherzer O:
  Inverse total variation flow
  In: Multiscale Modeling & Simulation 6 (2007), p. 366-395.
  ISSN: 1540-3459
• 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

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
• 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
• Berkels B, Burger M, Droske M, Nemitz O, Rumpf M:
  Cartoon extraction based on anisotropic image classification
  Vision, Modeling, and Visualization Proceedings
• Burger M. (ed.):
  Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry
  2006
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Su B, Burger M:
  Weak solutions of a polymer crystal growth model
  (2006)
  (Techreport)

2005

• Burger M.:
  A model hierarchy for surface diffusion: the small slope case
  5th MATHMOD (Vienna)
• 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
• 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
  (Rezension)
• Burger M, Hofinger A:
  Greedy algorithms for neural network training with data noise
  In: Computing 74 (2005), p. 1-22
  ISSN: 0010-485X
• Wolfram M, Burger M:
  Inverse dopant profiling for highly doped semiconductor devices
  5th MATHMOD (Vienna)
• 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
• 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
• 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
• Burger M, Gu H:
  Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations
  Workshop on Symbolic-Numerical Computation 2005

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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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

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
• Burger M.:
  Growth and impingement in polymer melts
  FBP 2002 (Trento)
• 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
• 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

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

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
• 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
• 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
• 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
• 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
• 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
• 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

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

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
• Burger M, Capasso V, Eder G, Engl H:
  Modelling and parameter-identification in non-isothermal crystallization of polymers
  EcMI 98 (Gothenburg)