Fast displacement probability profile approximation from HARDI using 4th-order tensors
by Barmpoutis, A. | Vemuri, B. C. | Forder, J. R.
In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging, May 14-17, 2008, pp. 911-914. https://doi.org/10.1109/ISBI.2008.4541145
In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging, May 14-17, 2008, pp. 911-914. https://doi.org/10.1109/ISBI.2008.4541145
Description
Cartesian tensor basis have been widely used to approximate spherical functions. In Medical Imaging, tensors of various orders have been used to model the diffusivity function in Diffusion-weighted MRI data sets. However, it is known that the peaks of the diffusivity do not correspond to orientations of the underlying fibers and hence the displacement probability profiles should be employed instead. In this paper, we present a novel representation of the probability profile by a 4th order tensor, which is a smooth spherical function that can approximate single-fibers as well as multiple-fiber structures. We also present a method for efficiently estimating the unknown tensor coefficients of the probability profile directly from a given high-angular resolution diffusion-weighted (HARDI) data set. The accuracy of our model is validated by experiments on synthetic and real HARDI datasets from a fixed rat spinal cord.
Additional information
| Author | Barmpoutis, A., Vemuri, B. C., Forder, J. R. |
|---|---|
| Journal | In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging |
| Year | 2008 |
| Month | May 14-17 |
| Pages | 911-914 |
barmpoutis_isbi08.pdf |
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| DOI |
Citation
Citation
Barmpoutis, A., Vemuri, B. and Forder, J., 2008. Fast displacement probability profile approximation from HARDI using 4th-order tensors. In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging, pp. 911-914. https://doi.org/10.1109/ISBI.2008.4541145
BibTex
@article{digitalWorlds:168,
doi = {https://doi.org/10.1109/ISBI.2008.4541145},
author = {Barmpoutis, A. and Vemuri, B. C. and Forder, J. R.},
title = {Fast displacement probability profile approximation from HARDI using 4th-order tensors},
journal = {In Proceedings of ISBI08: IEEE International Symposium on Biomedical Imaging},
month = {May 14-17},
year = {2008},
pages = {911-914}
} 
