Skip to content
Licensed Unlicensed Requires Authentication Published by De Gruyter June 5, 2013

TGV for diffusion tensors: A comparison of fidelity functions

Tuomo Valkonen, Kristian Bredies and Florian Knoll

Abstract.

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 Stejskal–Tanner 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.

Received: 2012-10-01
Published Online: 2013-06-05
Published in Print: 2013-06-01

© 2013 by Walter de Gruyter Berlin Boston