A Riemannian Framework for Tensor Computing
International Journal of Computer Vision
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
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Multi-tensor models have been proposed to assess multiple fiber orientations but are known to be numerically challenging. We show that the estimation cannot be performed with a single-shell HARDI acquisition because the fitting procedure leads to an infinite number of solutions; multiple-shell HARDI acquisitions are required. Additionally, we propose a new log-euclidean constrained two-tensor model capable of assessing crossing fibers configurations with a relative limited number of DW acquisitions. We provide numerical experiments with this model to verify experimentally the necessity of multiple-shell HARDI acquisitions schemes for multitensor models.