A unified framework for estimating diffusion tensors of any order with symmetric positive-definite constraints
by Barmpoutis, A. | Vemuri,B. C.
Proceedings of the IEEE International Symposium on Biomedical Imaging, April 14-17, 2010, pp. 1385-1388. https://dx.doi.org/10.1109/ISBI.2010.5490256
Proceedings of the IEEE International Symposium on Biomedical Imaging, April 14-17, 2010, pp. 1385-1388. https://dx.doi.org/10.1109/ISBI.2010.5490256
Description
Cartesian tensors of various orders have been employed for either modeling the diffusivity or the orientation distribution function in Diffusion-Weighted MRI datasets. In both cases, the estimated tensors have to be positive-definite since they model positive-valued functions. In this paper we present a novel unified framework for estimating positive-definite tensors of any order, in contrast to the existing methods in literature, which are either order-specific or fail to handle the positive-definite property. The proposed framework employs a homogeneous polynomial parametrization that covers the full space of any order positive-definite tensors and explicitly imposes the positive-definite constraint on the estimated tensors. We show that this parametrization leads to a linear system that is solved using the non-negative least squares technique. The framework is demonstrated using synthetic and real data from an excised rat hippocampus.
Additional information
| Author | Barmpoutis, A., Vemuri,B. C. |
|---|---|
| Journal | Proceedings of the IEEE International Symposium on Biomedical Imaging |
| Month | April 14-17 |
| Year | 2010 |
| Pages | 1385-1388 |
| DOI |
Citation
Citation
Barmpoutis, A. and Vemuri,B. C., , 2010. A unified framework for estimating diffusion tensors of any order with symmetric positive-definite constraints. Proceedings of the IEEE International Symposium on Biomedical Imaging, pp. 1385-1388. https://dx.doi.org/10.1109/ISBI.2010.5490256
BibTex
@article{digitalWorlds:156,
doi = {https://dx.doi.org/10.1109/ISBI.2010.5490256},
author = {Barmpoutis, A. and Vemuri,B. C.},
title = {A unified framework for estimating diffusion tensors of any order with symmetric positive-definite constraints},
journal = {Proceedings of the IEEE International Symposium on Biomedical Imaging},
month = {April 14-17},
year = {2010},
pages = {1385-1388}
} 
