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Teichmller shape descriptor and its application to Alzheimers disease study

Wei Zeng Rui Shi Yalin Wang Shing-Tung Yau Xianfeng Gu Alzheimers Disease Neuroimaging Initiative

Computational Geometry mathscidoc:1912.43587

International journal of computer vision, 105, (2), 155-170, 2013.11
We propose a novel method to apply Teichmller space theory to study the signature of a family of nonintersecting closed 3D curves on a general genus zero closed surface. Our algorithm provides an efficient method to encode both global surface and local contour shape information. The signatureTeichmller shape descriptoris computed by surface Ricci flow method, which is equivalent to solving an elliptic partial differential equation on surfaces and is numerically stable. We propose to apply the new signature to analyze abnormalities in brain cortical morphometry. Experimental results with 3D MRI data from Alzheimers disease neuroimaging initiative (ADNI) dataset [152 healthy control subjects versus 169 Alzheimers disease (AD) patients] demonstrate the effectiveness of our method and illustrate its potential as a novel surface-based cortical morphometry measurement in AD research.
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@inproceedings{wei2013teichmller,
  title={Teichmller shape descriptor and its application to Alzheimers disease study},
  author={Wei Zeng, Rui Shi, Yalin Wang, Shing-Tung Yau, Xianfeng Gu, and Alzheimers Disease Neuroimaging Initiative},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204251943921151},
  booktitle={International journal of computer vision},
  volume={105},
  number={2},
  pages={155-170},
  year={2013},
}
Wei Zeng, Rui Shi, Yalin Wang, Shing-Tung Yau, Xianfeng Gu, and Alzheimers Disease Neuroimaging Initiative. Teichmller shape descriptor and its application to Alzheimers disease study. 2013. Vol. 105. In International journal of computer vision. pp.155-170. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204251943921151.
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