Why multiple b-values are required for multi-tensor models: evaluation with a constrained log-Euclidean model

  • Authors:
  • Benoit Scherrer;Simon K. Warfield

  • Affiliations:
  • Computational Radiology Laboratory, Department of Radiology, Children's Hospital, Boston, MA;Computational Radiology Laboratory, Department of Radiology, Children's Hospital, Boston, MA

  • Venue:
  • ISBI'10 Proceedings of the 2010 IEEE international conference on Biomedical imaging: from nano to Macro
  • Year:
  • 2010

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Abstract

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.