Forschung AG Imaging - Prof. Dr. Martin Burger

 

Forschungsschwerpunkte

  • Inverse Probleme
  • Mathematische Bildverarbeitung
  • Medizinische Bildrekonstruktion
  • Mathematische Modellierung und Simulation in der Biomedizin
  • Partielle Differentialgleichungen
 

Projekte

Laufend
Abgeschlossen
 

Neueste Publikationen

  • Haidl M, Steuwer M, Dirks H, Humernbrum T, Gorlatch S. . ‘Towards Composable GPU Programming: Programming GPUs with Eager Actions and Lazy Views.’ In Proceedings of the 8th International Workshop on Programming Models and Applications for Multicores and Manycores, edited by Chen Q, Huang Z, 58-67. New York, NY: ACM. doi: 10.1145/3026937.3026942.
  • Neugebauer F, Möddel G, Rampp S, Burger M, Wolters C,. . ‘The effect of head model simplification on beamformer source localization.’ Frontiers in Neuroscience 11, Nr. 625. doi: 10.3389/fnins.2017.00625.
  • J. Berendsen, M. Burger, J.-F. Pietschmann. . ‘On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion.’ Nonlinear Analysis 159.
  • H. Egger, J.-F. Pietschmann, M. Schlottbom. . ‘On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.’ Inverse Problems 33. doi: 10.1088/1361-6420/aa8cae.
  • Burger M., Lorz A., Wolfram M. . ‘Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth.’ Kinetic and Related Models 10, Nr. 1: 117-140. doi: 10.3934/krm.2017005.

  • Burger M., Pietschmann J. . ‘Flow characteristics in a crowded transport model.’ Nonlinearity 29, Nr. 11: 3528-3550. doi: 10.1088/0951-7715/29/11/3528.
  • Burger M., Rossmanith C., Zhang X. . ‘Simultaneous reconstruction and segmentation for dynamic SPECT imaging.’ Inverse Problems 32, Nr. 10. doi: 10.1088/0266-5611/32/10/104002.
  • Grah J., Harrington J., Koh S., Pike J., Schreiner A., Burger M., Schönlieb C., Reichelt S. . ‘Mathematical imaging methods for mitosis analysis in live-cell phase contrast microscopy.’ Methods null, Nr. null. doi: 10.1016/j.ymeth.2017.02.001. [Im Druck]
  • Burger M., Lorz A., Wolfram M. . ‘On a Boltzmann mean field model for knowledge growth.’ SIAM Journal on Applied Mathematics 76, Nr. 5: 1799-1818. doi: 10.1137/15M1018599.
  • Burger M. . ‘Bregman distances in inverse problems and partial differential equations.’ In Advances in Mathematical Modeling, Optimization, and Optimal Control, edited by J.Hiriard-Urrurty, A.Korytowski, H.Maurer, M.Szymkat, 3-33. Springer International Publishing. doi: 10.1007/978-3-319-30785-5_2.
 

Habilitationen

Wolters, CarstenFinite Element Method based Electro- and Magnetoencephalography Source Analysis in the Human Brain (kumulative Habilitationsschrift)
 

Dissertationen

Foecke, JanicImage Reconstruction in MRXI
Frerking, LenaVariational Methods for Direct and Indirect Tracking in Dynamic Imaging
Felix LuckaBayesian Inversion in Biomedical Imaging
Wagner, SvenOptimizing tCS and TMS multi-sensor setups using realistic head models
Wagner, SvenOptimizing tCS and TMS multi-sensor setups using realistic head models
Suhr, SebastianVariational Methods for Combined Image and Motion Estimation
Hendrik DirksVariational Methods for Joint Motion Estimation and Image Reconstruction
Lucka, FelixBayesian Inversion in Biomedical Imaging
Felix LuckaBayesian Inversion in Biomedical Imaging
Heins, PiaReconstruction Using Local Sparsity - A Novel Regularization Technique and an Asymptotic Analysis of Local Sparsity Priors
Lanfer, BenjaminAutomatic Generation of Volume Conductor Models of the Human Head for EEG Source Analysis
Jan HegemannEfficient Evolution Algorithms for Embedded Interfaces
Jahn MüllerAdvanced Image Reconstruction and Denoising: Bregmanized (Higher order) Total Variation and Application in PET
Marcisse FouegoOptimal Control of Transient Drift-Diffusion and Nonlinear Schrödinger-Poisson Problems
Louise ReipsParameter Identification in Medical Imaging
Lars RuthottoHyperelastic Image Registration - Theory, Numerical Mehods, and Applications
Möller, MichaelVariational Methods for High-Dimensional Image Processing
Franek, MarzenaVariational Methods using Transport Metrics and Applications
Sawatzky, Alex(Nonlocal) Total Variation in Medical Imaging
Meuth, PatrickThalamische Neurone in silico
Benning, MartinSingular Regularization of Inverse Problems: Bergman Distances and their Applications to Variational Frameworks with Singular Regularization Energies
Schlake, BärbelMathematical Models for Particle Transport: Crowded Motion
Brune, Christoph4D Imaging in Tomography and Optical Nanoscopy
Kattrin ArningMathematical Modelling and Simulation of Ion Channels
Marie-Therese WolframForward and Inverse Solvers for Electrodiffusion Systems
Hackl, BenjaminShape Variations, Level Set and Phase-field Methods for Perimeter Regularized Geometric Inverse Problems