Groupwise Registration and atlas construction of 4th-order tensor fields using the R+ Riemannian metric
by Barmpoutis, A. | Vemuri, B. C.
In Proceedings of MICCAI09: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS, vol. 5761, September 22-24, 2009, pp. 640-647. https://doi.org/10.1007/978-3-642-04268-3_79
In Proceedings of MICCAI09: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS, vol. 5761, September 22-24, 2009, pp. 640-647. https://doi.org/10.1007/978-3-642-04268-3_79
Description
Registration of Diffusion-Weighted MR Images (DW-MRI) can be achieved by registering the corresponding 2nd-order Diffusion Tensor Images (DTI). However, it has been shown that higher-order diffusion tensors (e.g. order-4) outperform the traditional DTI in approximating complex fiber structures such as fiber crossings. In this paper we present a novel method for unbiased group-wise non-rigid registration and atlas construction of 4th-order diffusion tensor fields. To the best of our knowledge there is no other existing method to achieve this task. First we define a metric on the space of positive-valued functions based on the Riemannian metric of real positive numbers (denoted by R+). Then, we use this metric in a novel functional minimization method for non-rigid 4th-order tensor field registration. We define a cost function that accounts for the 4th-order tensor re-orientation during the registration process and has analytic derivatives with respect to the transformation parameters. Finally, the tensor field atlas is computed as the minimizer of the variance defined using the Riemannian metric. We quantitatively compare the proposed method with other techniques that register scalar-valued or diffusion tensor (rank-2) representations of the DWMRI. This comparison is achieved using synthetic data and atlas construction results are depicted for real human hippocampal data sets.
Additional information
| Author | Barmpoutis, A., Vemuri, B. C. |
|---|---|
| Journal | In Proceedings of MICCAI09: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS |
| Volume | 5761 |
| Publisher | Springer |
| Year | 2009 |
| Month | September 22-24 |
| Pages | 640-647 |
| DOI |
Citation
Citation
Barmpoutis, A. and Vemuri, B., 2009. Groupwise Registration and atlas construction of 4th-order tensor fields using the R+ Riemannian metric. In Proceedings of MICCAI09: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS, vol. 5761, pp. 640-647. https://doi.org/10.1007/978-3-642-04268-3_79
BibTex
@article{digitalWorlds:160,
doi = {https://doi.org/10.1007/978-3-642-04268-3_79},
author = {Barmpoutis, A. and Vemuri, B. C.},
title = {Groupwise Registration and atlas construction of 4th-order tensor fields using the R+ Riemannian metric},
journal = {In Proceedings of MICCAI09: Int. Conf. on Medical Image Computing and Computer Assisted Intervention, LNCS},
month = {September 22-24},
volume = {5761},
year = {2009},
pages = {640-647}
} 
