Interests in applied mathematics

  • Dimension reduction techniques

  • Orthogonal projections and Grassmannian manifolds

  • Image segmentation (2D and higher dimensional images)

  • Feature extraction with traditional image processing methods

  • Variational methods and energy minimization in image processing

  • Supervised and unsupervised learning algorithms

  • Shallow and deep (convolutional) neural networks

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

  • MRI reconstruction from multiple coil arrays