TGV for diffusion tensors: A comparison of fidelity functions

Valkonen T, Bredies K, Knoll F (2013)

Publication Type: Journal article

Publication year: 2013

Journal

Journal of Inverse and Ill-posed Problems De Gruyter

Book Volume: 21

Pages Range: 355-377

Journal Issue: 3

DOI: 10.1515/jip-2013-0005

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. © de Gruyter 2013.

Authors with CRIS profile

Florian Knoll

Involved external institutions

Karl-Franzens-Universität Graz AT Austria (AT) Technische Universität Graz AT Austria (AT)

How to cite

APA:

Valkonen, T., Bredies, K., & Knoll, F. (2013). TGV for diffusion tensors: A comparison of fidelity functions. Journal of Inverse and Ill-posed Problems, 21(3), 355-377. https://doi.org/10.1515/jip-2013-0005

MLA:

Valkonen, Tuomo, Kristian Bredies, and Florian Knoll. "TGV for diffusion tensors: A comparison of fidelity functions." Journal of Inverse and Ill-posed Problems 21.3 (2013): 355-377.

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