Diffeomorphic sulcal shape analysis on the cortex.
Diffeomorphic sulcal shape analysis on the cortex.
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DOI：
10.1109/tmi.2012.2186975
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发表时间：
2012-06
影响因子：
10.6
通讯作者：
Woods RP
中科院分区：
文献类型：
--
作者：
Joshi SH;Cabeen RP;Joshi AA;Sun B;Dinov I;Narr KL;Toga AW;Woods RP
我们提出了一种微分同胚方法来构建人类皮层脑沟的内在形状图集。脑沟被表示为ℝ3中连续开曲线的平方根速度函数，并且它们的形状被研究为无限维球体的函数表示。这种球面流形具有一些有利的特性——它在切线空间上配备了黎曼度量，并且有利于计算分析和脑沟形状之间的对应。脑沟形状映射是通过计算形状模尺度、平移、刚性旋转和重新参数化的商空间中的测地线来实现的。由此产生的脑沟形状图集保留了样本群体中固有的重要局部几何形状。脑沟形状图集集成在皮质配准框架中，与传统的欧几里德方法相比，表现出更好的几何匹配。我们展示了不同受试者群体的两种不同表面提取协议的脑沟形状映射、皮质表面配准和脑沟分类的实验结果。
We present a diffeomorphic approach for constructing intrinsic shape atlases of sulci on the human cortex. Sulci are represented as square-root velocity functions of continuous open curves in ℝ3, and their shapes are studied as functional representations of an infinite-dimensional sphere. This spherical manifold has some advantageous properties – it is equipped with a Riemannian metric on the tangent space and facilitates computational analyses and correspondences between sulcal shapes. Sulcal shape mapping is achieved by computing geodesics in the quotient space of shapes modulo scales, translations, rigid rotations and reparameterizations. The resulting sulcal shape atlas preserves important local geometry inherently present in the sample population. The sulcal shape atlas is integrated in a cortical registration framework and exhibits better geometric matching compared to the conventional euclidean method. We demonstrate experimental results for sulcal shape mapping, cortical surface registration, and sulcal classification for two different surface extraction protocols for separate subject populations.