Browsing Department of Mathematics by Author "Christiansen, Oddvar"

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    • Mathematical Segmentation and Denoising of Images with Applications to MRI and Diffusion Tensor MRI 

      Christiansen, Oddvar (Doctoral thesis, 2008-02-01)
      In medicine digital images play a vital role in both research and clinical work. Using advanced techniques like Magnetic Resonance Imaging (MRI), Computertomografi (CT), Positron Emission Tomography (PET) or X-ray, images ...

    • Total Variation Regularization of Matrix-Valued Images 

      Christiansen, Oddvar; Lee, Tin-Man; Lie, Johan; Sinha, Usha; Chan, Tony F. (Peer reviewed; Journal article, 2007)
      We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrix-valued data, in particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color ...