Merlet Sylvain, Caruyer Emmanuel, Deriche Rachid
Athena Project-Team, INRIA Sophia Antipolis - Méditerranée, France.
Med Image Comput Comput Assist Interv. 2011;14(Pt 2):116-23. doi: 10.1007/978-3-642-23629-7_15.
We evaluate the impact of radial and angular sampling on multiple shells (MS) acquisition in diffusion MRI. The validation of our results is based on a new and efficient method to accurately reconstruct the Ensemble Average Propagator (EAP) in term of the Spherical Polar Fourier (SPF) basis from very few diffusion weighted magnetic resonance images (DW-MRI). This approach nicely exploits the duality between SPF and a closely related basis in which one can respectively represent the EAP and the diffusion signal using the same coefficients. We efficiently combine this relation to the recent acquisition and reconstruction technique called Compressed Sensing (CS). Based on results of multi-tensors models reconstruction, we show how to construct a robust acquisition scheme for both neural fibre orientation detection and attenuation signal/EAP reconstruction.
我们评估了径向和角度采样对扩散磁共振成像（MRI）中多壳层（MS）采集的影响。我们结果的验证基于一种新的高效方法，该方法能从极少的扩散加权磁共振图像（DW-MRI）中，以球极傅里叶（SPF）基准确重建总体平均传播子（EAP）。这种方法很好地利用了SPF与一个密切相关基之间的对偶性，在该对偶性中，可以使用相同的系数分别表示EAP和扩散信号。我们有效地将这种关系与最近称为压缩感知（CS）的采集和重建技术相结合。基于多张量模型重建的结果，我们展示了如何构建一种稳健的采集方案，用于神经纤维方向检测以及衰减信号/EAP重建。
