Mathematical Image Analysis

We are interested in inverse problems, such as: 

  • Inference of brain anatomy from diffusion weighted magnetic resonance imaging (tractography, connectivity)
  • Detection, enhancement, completion, and geometric analysis of elongated structures in 2-and 3-dimensional images
  • AI enhanced geometric image analysis

Development of new methodologies and algorithms for the representation and analysis of complex imaging data (`big images’) for healthcare applications.

Our methodological approach relies on a broad spectrum of mathematical techniques, such as• Finsler geometry• tensor calculus• Lie group theory• calculus of variations• geometric control theory• semigroup theory for multiresolution

More about MIA