Abstract : In this paper we address two problems related to the parametric reconstruction of the diffusion signal in the complete 3D Q-space. We propose a modified Spherical Polar Fourier (mSPF) basis to naturally impose the continuity of the diffusion signal on the whole space. This mathematical constraint results in a dimension reduction with respect to the original SPF basis. In addition, we derive the expression of a Laplace regularization operator in this basis, and compute optimal regularization weight using generalized cross validation (GCV). Experiments on synthetic and real data show that this regularization leads to a more accurate reconstruction than the commonly used low-pass filters.
https://hal.inria.fr/hal-00660635
Contributor : Emmanuel Caruyer
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Submitted on : Tuesday, January 17, 2012 - 11:17:51 AM
Last modification on : Thursday, January 11, 2018 - 4:24:43 PM
Long-term archiving on : Monday, November 19, 2012 - 1:50:28 PM
Emmanuel Caruyer, Rachid Deriche. Optimal Regularization for MR Diffusion Signal Reconstruction. ISBI - 9th IEEE International Symposium on Biomedical Imaging, May 2012, Barcelona, Spain. ⟨hal-00660635⟩
