Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)

by Weldeselassie, Y. T. | Barmpoutis, A. | Atkins, S.

In Proceedings of MICCAI10: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS, vol. 6361, September 20-24, 2010, pp. 582-589. https://doi.org/10.1007/978-3-642-15705-9_71

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Description

In this paper we present a novel method for estimating a field of orientation distribution functions (ODF) from a given set of Diffusion- Weighted MR images. In our technique the ODF is modeled by Cartesian tensor basis using a parametrization that explicitly enforces the positive definite property to the computed ODFs. The computed Cartesian tensors, dubbed Cartesian Tensor-ODFs (CT-ODFs), are symmetric positive definite tensors whose coefficients can be efficiently estimated by solving a linear system with non-negative constraints. Furthermore, we show how to use our method for converting higher-order diffusion tensors to CT-ODFs, which is an essential task since the maxima of higher-order tensors do not correspond to the underlying fiber orientations. We quantitatively evaluate our method using simulated DW-MR images as well as a real brain dataset from a post-mortem porcine brain. The results conclusively demonstrate the superiority of the proposed technique over several existing multi-fiber reconstruction methods.

Additional information

Author

Weldeselassie, Y. T., Barmpoutis, A., Atkins, S.
Journal

In Proceedings of MICCAI10: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS
Volume

6361
Publisher

Springer
Year

2010
Month

September 20-24
Pages

582-589
DOI

https://doi.org/10.1007/978-3-642-15705-9_71

Citation

Citation

Weldeselassie, Y., Barmpoutis, A. and Atkins, S., 2010. Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF). In Proceedings of MICCAI10: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS, vol. 6361, pp. 582-589. https://doi.org/10.1007/978-3-642-15705-9_71

BibTex

@article{digitalWorlds:157,
doi = {https://doi.org/10.1007/978-3-642-15705-9_71},
author = {Weldeselassie, Y. T.  and  Barmpoutis, A.  and  Atkins, S.},
title = {Symmetric Positive-Definite Cartesian Tensor Orientation Distribution Functions (CT-ODF)},
journal = {In Proceedings of MICCAI10: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS},
month = {September 20-24},
volume = {6361},
year = {2010},
pages = {582-589}
}

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