Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging Based on a Riemannian Manifold Approach

Baust M, Weinmann A, Wieczorek M, Lasser T, Storath M, Navab N (2016)

Publication Type: Journal article

Publication year: 2016

Journal

IEEE Transactions on Medical Imaging Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 35

Pages Range: 1972-1989

Article Number: 7460232

Journal Issue: 8

DOI: 10.1109/TMI.2016.2528820

Abstract

In this paper, we consider combined TV denoising and diffusion tensor fitting in DTI using the affine-invariant Riemannian metric on the space of diffusion tensors. Instead of first fitting the diffusion tensors, and then denoising them, we define a suitable TV type energy functional which incorporates the measured DWIs (using an inverse problem setup) and which measures the nearness of neighboring tensors in the manifold. To approach this functional, we propose generalized forward-backward splitting algorithms which combine an explicit and several implicit steps performed on a decomposition of the functional. We validate the performance of the derived algorithms on synthetic and real DTI data. In particular, we work on real 3D data. To our knowledge, the present paper describes the first approach to TV regularization in a combined manifold and inverse problem setup.

Involved external institutions

Technische Universität München (TUM) DE Germany (DE) Ruprecht-Karls-Universität Heidelberg DE Germany (DE)

How to cite

APA:

Baust, M., Weinmann, A., Wieczorek, M., Lasser, T., Storath, M., & Navab, N. (2016). Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging Based on a Riemannian Manifold Approach. IEEE Transactions on Medical Imaging, 35(8), 1972-1989. https://doi.org/10.1109/TMI.2016.2528820

MLA:

Baust, Maximilian, et al. "Combined Tensor Fitting and TV Regularization in Diffusion Tensor Imaging Based on a Riemannian Manifold Approach." IEEE Transactions on Medical Imaging 35.8 (2016): 1972-1989.

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