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Human Brain Mapping with Conformal Geometry and Multivariate Tensor-Based Morphometry

机译：具有共形几何和基于多元张量的形态的人脑映射

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摘要

In this paper, we introduce theories and algorithms in con-formal geometry, including Riemann surface, harmonic map, holomor-phic 1-form, and Ricci flow, which play important roles in computational anatomy. In order to study the deformation of brain surfaces, we introduce the multivariate tensor-based morphometry (MTBM) method for statistical computing. For application, we introduce our system for detecting Alzheimer's Disease (AD) symptoms on hippocampal surfaces with an automated surface fluid registration method, which is based on surface conformal mapping and mutual information regularized image fluid registration. Since conformal mappings are diffeomorphic and the mutual information method is able to drive a diffeomorphic flow that is adjusted to enforce appropriate surface correspondences in the surface parameter domain, combining conformal and fluid mappings will generate 3D shape correspondences that are diffeomorphic. We also incorporate in the system a novel method to compute curvatures using surface conformal parameterization. Experimental results in ADNI baseline data diagnostic group difference and APOE4 effects show that our system has better performance than other similar work in the literature.
机译：在本文中，我们介绍了共形几何学中的理论和算法，包括Riemann曲面，调和图，Holomor-phic 1-form和Ricci流，它们在计算解剖学中起着重要的作用。为了研究脑表面的变形，我们引入了基于多元张量的形态计量学（MTBM）方法进行统计计算。作为应用，我们介绍了一种基于表面保形映射和互信息正则化图像流体配准的自动表面流体配准方法，用于检测海马表面阿尔茨海默氏病（AD）症状的系统。由于共形映射是微晶的，并且互信息方法能够驱动微分流，调整该微分流以在表面参数域中强制执行适当的表面对应，因此，将共形映射和流体映射结合将生成3D形状的微分对应。我们还将系统中采用表面保形参数化计算曲率的新方法。 ADNI基线数据诊断组差异和APOE4效应的实验结果表明，我们的系统具有比文献中其他类似工作更好的性能。

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  • 来源
    《Multimodal Brain Image Analysis》|2011年|p.126-134|共9页
  • 会议地点 Toronto(CA);Toronto(CA);Toronto(CA);Toronto(CA)
  • 作者

    Jie Shi; Paul M. Thompson; Yalin Wang;

  • 作者单位

    School of Computing, Informatics and Decision Systems Engineering,ASU, Tempe, AZ 85281, USA;

    Lab. of Neuro Imaging, UCLA School of Medicine, Los Angeles, CA 90095, USA;

    School of Computing, Informatics and Decision Systems Engineering,ASU, Tempe, AZ 85281, USA;

  • 会议组织
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 医用物理学;脑部疾病;
  • 关键词

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