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Title
TGV for diffusion tensors: A comparison of fidelity functions / Tuomo Valkonen, Kistian Bredies and Florian Knoll
AuthorValkonen, Tuomo ; Bredies, Kristian In der Gemeinsamen Normdatei der DNB nachschlagen ; Knoll, Florian
Published in
Journal of Inverse and Ill-posed Problems, 2013, Vol. 21, Issue 3, page 355-377
PublishedDe Gruyter
LanguageEnglish
Document typeJournal Article
Keywords (EN)Total generalised variation / total Deformation / regularisation / diffusion tensor imaging / medical imaging
ISSN1569-3945
URNurn:nbn:at:at-ubg:3-1370 Persistent Identifier (URN)
DOIdoi:10.1515/jip-2013-0005 
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 The work is publicly available
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Abstract (English)

We study the total generalised variation regularisation of symmetric tensor fields from medical applications, namely diffusion tensor regularisation. We study the effect of the pointwise positivity constraint on the tensor field, as well as the difference between direct denoising of the tensor field first solved from the StejskalTanner equation, as was done in our earlier work, and of incorporating this equation into the fidelity function. Our results indicate that the latter novel approach provides improved computational results.

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