My research is focused on new data representations and dimension reduction with orthogonal projections, connecting the research fields of Mathematics, Data Science and Medical Imaging.

Interests in Applied Mathematics and Data Science

Grassmannian manifold

  • Covering sequences and properties

  • Numerical analysis and implementations

  • Orthogonal projections for dimension reduction

Image processing

  • Image segmentation (2D and higher dimensions)

  • Feature extraction with traditional methods

  • Variational methods and energy minimization

Data quality measures

  • Adaption of loss functions in neural network learning

  • Blind image quality assessment

  • Correlation analyses

Interests in Medical imaging

Optical coherence tomography (OCT)

  • Retinal fluid classification and quantification

  • Identification of the photoreceptor region

Magnetic resonance imaging (MRI)

  • Brain tissue segmentation

  • Data compression in MRI reconstruction from multiple coil arrays