Coupled Reconstruction of Cortical Surfaces by Diffeomorphic Mesh Deformation.

Hao Zheng, Hongming Li, Yong Fan
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Abstract

Accurate reconstruction of cortical surfaces from brain magnetic resonance images (MRIs) remains a challenging task due to the notorious partial volume effect in brain MRIs and the cerebral cortex's thin and highly folded patterns. Although many promising deep learning-based cortical surface reconstruction methods have been developed, they typically fail to model the interdependence between inner (white matter) and outer (pial) cortical surfaces, which can help generate cortical surfaces with spherical topology. To robustly reconstruct the cortical surfaces with topological correctness, we develop a new deep learning framework to jointly reconstruct the inner, outer, and their in-between (midthickness) surfaces and estimate cortical thickness directly from 3D MRIs. Our method first estimates the midthickness surface and then learns three diffeomorphic flows jointly to optimize the midthickness surface and deform it inward and outward to the inner and outer cortical surfaces respectively, regularized by topological correctness. Our method also outputs a cortex thickness value for each surface vertex, estimated from its diffeomorphic deformation trajectory. Our method has been evaluated on two large-scale neuroimaging datasets, including ADNI and OASIS, achieving state-of-the-art cortical surface reconstruction performance in terms of accuracy, surface regularity, and computation efficiency.

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通过差构网格变形耦合重建皮质表面
由于脑磁共振成像(MRI)中众所周知的部分容积效应以及大脑皮层薄且高度折叠的模式,从脑磁共振成像(MRI)中准确重建皮层表面仍然是一项具有挑战性的任务。虽然已经开发出了许多有前途的基于深度学习的皮质表面重建方法,但它们通常无法模拟皮质内表面(白质)和外表面(髓质)之间的相互依存关系,而这有助于生成具有球形拓扑结构的皮质表面。为了稳健地重建具有拓扑正确性的皮质表面,我们开发了一种新的深度学习框架,以联合重建内、外及其中间(中厚)表面,并直接从三维核磁共振成像中估计皮质厚度。我们的方法首先估算中厚表面,然后联合学习三个差分形态流来优化中厚表面,并将其分别向内和向外变形到皮层内表面和外表面,并通过拓扑正确性进行正则化。我们的方法还能为每个表面顶点输出皮层厚度值,该值是根据其差异变形轨迹估算的。我们的方法已在两个大规模神经成像数据集(包括 ADNI 和 OASIS)上进行了评估,在准确性、表面规则性和计算效率方面都达到了最先进的皮层表面重建性能。
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