Research AG Imaging

 

Research Areas

  • Inverse Problems
  • Mathematical Imaging
  • Medical Imaging
  • Mathematical Modelling and Simulation in Biomedicine
  • Partial Differential Equations
 

Projects

In Progress
Finished
 

Latest Publications

  • 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.
  • 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, No. 1: 117-140. doi: 10.3934/krm.2017005.

  • Wagner S., Lucka F., Vorwerk J., Herrmann C., Nolte G., Burger M., Wolters C. . ‘Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem.’ NeuroImage 140, No. null: 163-173. doi: 10.1016/j.neuroimage.2016.04.005.
  • Bruna M., Burger M., Ranetbauer H., Wolfram M. . ‘Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures.’ Journal of Nonlinear Science null, No. null: 1-33. doi: 10.1007/s00332-016-9348-z. [In Press]
  • Burger M., Gilboa G., Moeller M., Eckardt L., Cremers D. . ‘Spectral decompositions using one-homogeneous functionals.’ SIAM Journal on Imaging Sciences 9, No. 3: 1374-1408. doi: 10.1137/15M1054687.
  • Wagner S, Burger M, Wolters CH. . ‘An optimization approach for well-targeted transcranial direct current stimulation.’ SIAM Journal on Applied Mathematics 76, No. 6: 2154-2174. doi: 10.1137/15M1026481.
  • Gilboa G., Moeller M., Burger M. . ‘Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects.’ Journal of Mathematical Imaging and Vision 56, No. 2: 300-319. doi: 10.1007/s10851-016-0665-5.
  • 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.
  • 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., Hittmeir S., Ranetbauer H., Wolfram M. . ‘Lane formation by side-stepping.’ SIAM Journal on Mathematical Analysis 48, No. 2: 981-1005. doi: 10.1137/15M1033174.
 

Habilitations

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

Dissertations

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, Michael Multiscale Methods for (Generalized) Sparse Recovery and Applications in High Dimensional Imaging
Franek, MarzenaVariational Methods using Transport Metrics and Applications
Sawatzky, Alex(Nonlocal) Total Variation in Medical Imaging
Meuth, PatrickThalamic neurons 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