About the Geometry of Asymmetric Fiber Orientation Distributions
About the Geometry of Asymmetric Fiber Orientation Distributions
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DOI：
10.1109/tmi.2012.2187916
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发表时间：
2012-06-01
影响因子：
10.6
通讯作者：
Kiselev, Valerij G.
中科院分区：
文献类型：
--
作者：
Reisert, Marco;Kellner, Elias;Kiselev, Valerij G.
基于扩散敏化磁共振成像的纤维取向分布（FOD）通常是对称的，这主要是由于扩散的性质。相比之下，下面的光纤配置不是，因为弯曲或扇形配置本质上是不对称的。我们建议驳回的对称性的FOD额外编码的不对称性的基础纤维配置。这对于扩散加权成像中常见的低分辨率图像特别重要。我们建立了数学基础和几何解释的不对称FOD，并显示如何可以受益于这些考虑。我们推断出一个连续性条件，该条件被用作FOD估计过程中的先验约束球面反卷积。与其他空间正则化策略相比，这种新的先验在可靠性和准确性方面表现出上级性能。
Fiber orientation distributions (FODs) based on diffusion-sensitized magnetic resonance imaging are usually symmetric, primarily due to the nature of the diffusion. In contrast, the underlying fiber configurations are not, as bending or fanning configurations are inherently asymmetric. We propose to dismiss the symmetry of the FOD to additionally encode the asymmetry of the underlying fiber configuration. This is of particular importance for low resolution images that are common in diffusion weighted imaging. We set up the mathematical foundations and geometric interpretations of asymmetric FODs and show how one can benefit from these considerations. We infer a continuity condition that is used as a prior during FOD estimation by constrained spherical deconvolution. This new prior shows superior performance in comparison to other spatial regularization strategies in reliability and accuracy.