PhD Thesis

In case you are interested, please contact Univ.-Prof. Dr. Markus Haltmeier for further information.

Master Thesis

We offer master theses in applied mathematics, inverse problems, photoacoustic imaging, computed tomography, deep learning and neural networks. In case you are interested, please contact Univ.-Prof. Dr. Markus Haltmeier for further infor-mation.

Currently available master topics can be found on the bulletin board at the department of mathematics.

Open Bachelor Projects

• Reconstruction algorithms for multi-spectral X-ray CT imaging
  For the project description see [pdf ]
  Supervisors: M. Haltmeier, L. Neumann
  

• Iterative time reversal in photoacoustic tomography
  Supervisor: M. Haltmeier
  Reference: M. Haltmeier, L. Nguyen (2017) Analysis of iterative methods in photoacoustic tomography with variable sound speed. SIAM Journal on Imaging Sciences.

• Deep learning in tomography
  Supervisor: M. Haltmeier
  Reference:  S. Antholzer, M. Haltmeier, J. Schwab (2017) Deep learning for photoacoustic tomography from sparse data. arXiv:1704.04587.

• Free the bird - Inpainting
  For the project description see [pdf ]
  Supervisor: K. Schnass
  

• Integrating low-rank components into weighted KSVD for dictionary based inpainting
  For the project description see [pdf ]
  Supervisor: K. Schnass
  

• Masked Hard Thresholding Pursuit for dictionary based inpainting
  For the project description see [pdf ]
  Supervisor: K. Schnass
  

• Initialisation strategies for dictionary learning
  For the project description see [pdf ]
  Supervisor: K. Schnass

• Numerical inversion of a broken ray transform
  For the project description see [pdf ]
  Supervisor: M. Haltmeier

• Product integration for Abel integral equations
  For the project description see [pdf ]
  Supervisor: M. Haltmeier

• Convergence analysis of the fast iterative shrinkage-thresholding algorithm
  For the project description see [pdf ]
  Supervisor: M. Haltmeier

• Simulation of dissipative waves
  For the project description see [pdf ]
  Supervisor: R. Kowar

Current Bachelor Projects

• Integrating low-rank components into weighted KSVD for dictionary based inpainting
  Supervisor: K. Schnass [pdf ]
  Student: Markus Tiefenthaler

• Markov chain Monte Carlo methods
  Supervisor: M. Haltmeier
  Student: Mathias Wasle

Finished Bachelor Projects

2018

• Inversion of the Conical Radon Transform
  Supervisor: M. Haltmeier
  Student: Andrea Ebner
  Graduation 2018

• Boosted Decision Trees with Application to Galaxy Classification
  Supervisor: M. Haltmeier
  Student: Philipp Anrain
  Graduation 2018

2017

• Sampling Theory for the Circular Radon Transform
  Supervisor: M. Haltmeier
  Student: Iwanow Jawor
  Graduation 2017

• Signalentrauschung mittels Wavelet Soft-Thresholding
  Supervisor: M. Haltmeier
  Student: Wolfgang Wetscher
  Graduation: 2017

• Neural networks with application to galaxy classification
  Supervisor: M. Haltmeier
  Sudent: Christoph Angermann
  Graduation 2017

• The stochastic gradient algorithm
  Supervisor: M. Haltmeier
  Student: Chris Wendler
  Graduation 2017

2016

• Hard Thresholding Pursuit for Sparse Approximation
  For the project description see [pdf ]
  Supervisor: K. Schnass
  Student: E. Höck
  

• Introduction to statistical inverse problems
  For the project description see
  Supervisor: R. Kowar

• Iterative Reconstruction Techniques in CT
  Supervisor: M. Haltmeier
  Student: Kurt Eller

• Improving photoacoustic inversion on parabolas
  Supervisors: S. Pereverzyev Jr., M. Haltmeier
  Student: Florian Dreier

• Inversion of the V-line Radon transform
  Supervisor: M. Haltmeier
  Student: Simon Ruetz

• Inversion of the Broken-ray Radon Transform
  Supervisor: M. Haltmeier
  Student: Johannes Schwab

• Dykstra's Cyclic Projection Algorithm
  Supervisor: M. Haltmeier
  Student: Matthias Köchl