Diffusion MRI Signal Reconstruction with Continuity Constraint and Optimal Regularization

Emmanuel Caruyer 1 Rachid Deriche 1
1 ATHENA - Computational Imaging of the Central Nervous System
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : In diffusion MRI, the reconstruction of the full Ensemble Average Propagator (EAP) provides new insights in the diffusion process and the underlying microstructure. The reconstruction of the signal in the whole Q-space is still extremely challenging however. It requires very long acquisition protocols, and robust reconstruction to cope with the very low SNR at large b-values. Several reconstruction methods were proposed recently, among which the Spherical Polar Fourier (SPF) expansion, a promising basis for signal reconstruction. Yet the reconstruction in SPF is still subject to noise and discontinuity of the reconstruction. In this work, we present a method for the reconstruction of the diffusion attenuation in the whole Q-space, with a special focus on continuity and optimal regularization. We derive a modified Spherical Polar Fourier (mSPF) basis, orthonormal and compatible with SPF, for the reconstruction of a signal with continuity constraint. We also derive the expression of a Laplace regularization operator in the basis, together with a method based on generalized cross validation for the optimal choice of the parameter. Our method results in a noticeable dimension reduction as compared with SPF. Tested on synthetic and real data, the reconstruction with this method is more robust to noise and better preserves fiber directions and crossings.
Type de document :
Article dans une revue
Medical Image Analysis, Elsevier, 2012, 16 (6), pp.1113-1120. 〈10.1016/j.media.2012.06.011〉
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Soumis le : mardi 26 juin 2012 - 08:43:45
Dernière modification le : vendredi 12 janvier 2018 - 11:03:53
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Emmanuel Caruyer, Rachid Deriche. Diffusion MRI Signal Reconstruction with Continuity Constraint and Optimal Regularization. Medical Image Analysis, Elsevier, 2012, 16 (6), pp.1113-1120. 〈10.1016/j.media.2012.06.011〉. 〈hal-00711883〉



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