Forschung AG Imaging - Prof. Dr. Martin Burger

 

Forschungsschwerpunkte

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

Projekte

 

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 Press. doi: 10.1145/3026937.3026942.
  • 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.
  • 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.

  • Brinkmann Eva-Maria, Burger Martin, Rasch Julian, Sutour Camille. . ‘Bias-Reduction in Variational Regularization.’ Journal of Mathematical Imaging and Vision Special Issue MIA 2016. [submitted / under review]
  • Mannweiler D., Suhr S., Modersitzki J., Burger M. . ‘Variational method for motion corrected reconstruction with MRI information in positron emission tomography.’ Contributed to the 2015 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2015, usa. doi: 10.1109/NSSMIC.2015.7582045.
  • Burger M., Gilboa G., Moeller M., Eckardt L., Cremers D. . ‘Spectral decompositions using one-homogeneous functionals.’ SIAM Journal on Imaging Sciences 9, Nr. 3: 1374–1408. doi: 10.1137/15M1054687.
  • 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.
  • 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.
 

Betreute Habilitation

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

Betreute Promotionen

Foecke, JanicImage Reconstruction in MRXI
Variational Methods for Direct and Indirect Tracking in Dynamic Imaging
Bayesian Inversion in Biomedical Imaging
Optimizing tCS and TMS multi-sensor setups using realistic head models
Wagner, SvenOptimierung von Multi-Kanal tCS und TMS unter Nutzung realistischer Kopfmodelle
Wagner, SvenOptimizing tCS and TMS multi-sensor setups us-ing realistic head models
Variational Methods for Joint Motion Estimation and Image Reconstruction
Variational Methods for Combined Image and Motion Estimation
Lucka, FelixBayesianische Invertierung in der Biomedizinischen Bildgebung
Lucka, FelixBayesian Inversion in Biomedical Imaging
Reconstruction 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
Advanced Image Reconstruction and Denoising: Bregmanized (Higher order) Total Variation and Application in PET
Optimal Control of Transient Drift-Diffusion and Nonlinear Schrödinger-Poisson Problems
Louise ReipsParameter Identification in Medical Imaging
Hyperelastic Image Registration - Theory, Numerical Mehods, and Applications
Möller, MichaelVariational Methods for High-Dimensional Image Processing
Variational Methods using Transport Metrics and Applications
(Nonlocal) Total Variation in Medical Imaging
Meuth, PatrickThalamische Neurone in silico
Singular Regularization of Inverse Problems: Bergman Distances and their Applications to Variational Frameworks with Singular Regularization Energies
Mathematical Models for Particle Transport: Crowded Motion
4D 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