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TGV for diffusion tensors: A comparison of fidelity functions
-
Tuomo Valkonen
,
Kristian Bredies
Veröffentlicht/Copyright:
5. Juni 2013
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.
Keywords: Total generalised variation; total deformation; regularisation; diffusion tensor imaging; medical imaging
Received: 2012-10-01
Published Online: 2013-06-05
Published in Print: 2013-06-01
© 2013 by Walter de Gruyter Berlin Boston
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Artikel in diesem Heft
- Masthead
- “Recent Progress in Regularization Theory” Minisymposium M5 of the 6-th International Conference “Inverse Problems: Modeling and Simulation”
- TGV for diffusion tensors: A comparison of fidelity functions
- Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces
- Variational smoothness assumptions in convergence rate theory—an overview
- On the smoothness and convexity of Besov spaces
- An H1-Kaczmarz reconstructor for atmospheric tomography
- A new cumulative wavefront reconstructor for the Shack–Hartmann sensor
Schlagwörter für diesen Artikel
Total generalised variation;
total deformation;
regularisation;
diffusion tensor imaging;
medical imaging
Artikel in diesem Heft
- Masthead
- “Recent Progress in Regularization Theory” Minisymposium M5 of the 6-th International Conference “Inverse Problems: Modeling and Simulation”
- TGV for diffusion tensors: A comparison of fidelity functions
- Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces
- Variational smoothness assumptions in convergence rate theory—an overview
- On the smoothness and convexity of Besov spaces
- An H1-Kaczmarz reconstructor for atmospheric tomography
- A new cumulative wavefront reconstructor for the Shack–Hartmann sensor
