Euclidean Geodesic Loops on High-Genus Surfaces Applied to the Morphometry of Vestibular Systems

Shi-Qing Xin Nanyang Technological University Ying He Nanyang Technological University Chi-Wing Fu Nanyang Technological University Defeng Wang The Chinese University of Hong Kong Shi Lin The Chinese University of Hong Kong Winnie C.W. Chu The Chinese University of Hong Kong Jack C.Y. Cheng The Chinese University of Hong Kong Xianfeng Gu Stony Brook University Ronald Lok Ming Lui The Chinese University of Hong Kong

Computational Geometry mathscidoc:1609.09031

Medical Image Computing and Computer-Assisted Intervention, 384-92, 2011
This paper proposes a novel algorithm to extract feature landmarks on the vestibular system (VS), for the analysis of Adolescent Idiopathic Scoliosis (AIS) disease. AIS is a 3-D spinal deformity commonly occurred in adolescent girls with unclear etiology. One popular hypothesis was suggested to be the structural changes in the VS that induce the disturbed balance perception, and further cause the spinal deformity. The morphometry of VS to study the geometric differences between the healthy and AIS groups is of utmost importance. However, the VS is a genus-3 structure situated in the inner ear. The high-genus topology of the surface poses great challenge for shape analysis. In this work, we present a new method to compute exact geodesic loops on the VS. The resultant geodesic loops are in Euclidean metric, thus characterizing the intrinsic geometric properties of the VS based on the real background geometry. This leads to more accurate results than existing methods, such as the hyperbolic Ricci flow method. Furthermore, our method is fully automatic and highly efficient, e.g., one order of magnitude faster than. We applied our algorithm to the VS of normal and AIS subjects. The promising experimental results demonstrate the efficacy of our method and reveal more statistically significant shape difference in the VS between right-thoracic AIS and normal subjects.
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@inproceedings{shi-qing2011euclidean,
  title={Euclidean Geodesic Loops on High-Genus Surfaces Applied to the Morphometry of Vestibular Systems},
  author={Shi-Qing Xin, Ying He, Chi-Wing Fu, Defeng Wang, Shi Lin, Winnie C.W. Chu, Jack C.Y. Cheng, Xianfeng Gu, and Ronald Lok Ming Lui},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160906110242125377643},
  booktitle={Medical Image Computing and Computer-Assisted Intervention},
  pages={384-92},
  year={2011},
}
Shi-Qing Xin, Ying He, Chi-Wing Fu, Defeng Wang, Shi Lin, Winnie C.W. Chu, Jack C.Y. Cheng, Xianfeng Gu, and Ronald Lok Ming Lui. Euclidean Geodesic Loops on High-Genus Surfaces Applied to the Morphometry of Vestibular Systems. 2011. In Medical Image Computing and Computer-Assisted Intervention. pp.384-92. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160906110242125377643.
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