Blar i Bergen Open Research Archive på forfatter "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 ...