• Shape analysis for inverse problems 

      Bøe, Erik Oscar (Master thesis, 2021)
      Denne oppgaven undersøker problemet med å invertere Radon-transformasjonen av en form, hvor vi kun har tilgjengelig data fra et fåtall vinkler i et begrenset intervall. For å løse dette foreslår vi en regulariseringsfunksjonal, ...
    • Source Conditions for Non-Quadratic Tikhonov Regularization 

      Grasmair, Markus (Peer reviewed; Journal article, 2020)
      In this paper, we consider convex Tikhonov regularization for the solution of linear operator equations on Hilbert spaces. We show that standard fractional source conditions can be employed in order to derive convergence ...
    • The line planning with simultaneous optimisation of operational cost and travel time 

      Rosalia, Rosalia (Master thesis, 2017)
      In this thesis, we discuss a method of line planning of a public transportation system on a city road network. The desired solution is the cheapest and fastest line network, which is a complex combination to attack at the ...
    • Towards a data-driven system for personalized cervical cancer risk stratification 

      Langberg, Geir Severin Rakh Elvatun; Nygård, Jan Franz; Gogineni, Vinay Chakravarthi; Nygård, Mari; Grasmair, Markus; Naumova, Valeriya (Peer reviewed; Journal article, 2022)
      Mass-screening programs for cervical cancer prevention in the Nordic countries have been effective in reducing cancer incidence and mortality at the population level. Women who have been regularly diagnosed with normal ...
    • Variational Methods for Coherence Enhancing Image Denoising 

      Åsmot, Lasse (Master thesis, 2017)
      Image denoising by regularization of coherence enhancing functionals have become increasingly standard due to their structural preservation properties. One example of coherence enhancing regularization is formulated by ...