Efficient Computation of PDF-Based Characteristics from Diffusion MR Signal

Authors:
Haz-Edine Assemlal;David Tschumperlé;Luc Brun
Affiliations:
GREYC (CNRS UMR 6072), Caen Cedex, France 14050;GREYC (CNRS UMR 6072), Caen Cedex, France 14050;GREYC (CNRS UMR 6072), Caen Cedex, France 14050
Venue:
MICCAI '08 Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II
Year:
2008

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Abstract

We present a general method for the computation of PDF-based characteristics of the tissue micro-architecture in MR imaging. The approach relies on the approximation of the MR signal by a series expansion based on Spherical Harmonics and Laguerre-Gaussian functions, followed by a simple projection step that is efficiently done in a finite dimensional space. The resulting algorithm is generic, flexible and is able to compute a large set of useful characteristics of the local tissues structure. We illustrate the effectiveness of this approach by showing results on synthetic and real MR datasets acquired in a clinical time-frame.