Automatic registration of vestibular systems with exact landmark correspondence

Minqi Zhang Nanyang Technological University Fang Li Nanyang Technological University Xingce Wang Beijing Normal University Zhongke Wu Beijing Normal University Shi-Qing Xin Ningbo University Ronald Lok Ming Lui The Chinese University of Hong Kong Lin Shi The Chinese University of Hong Kong Defeng Wang The Chinese University of Hong Kong Ying He Nanyang Technological University

Computational Geometry mathscidoc:1609.09019

Graphical Models, 76, (5), 532–541, 2014.9
Shape registration has a wide range of applications in geometric modeling, medical imaging, and computer vision. This paper focuses on the registration of the genus-3 vestibular systems and studies the geometric differences between the normal and Adolescent Idiopathic Scoliosis (AIS) groups. The non-trivial topology of the VS poses great technical challenges to the geometric analysis. To tackle these challenges, we present an effective and practical solution to register the vestibular systems. We first extract six geodesic landmarks for the VS, which are stable, intrinsic, and insensitive to the VS’s resolution and tessellation. Moreover, they are highly consistent regardless of the AIS and normal groups. The detected geodesic landmarks partition the VS into three patches, a topological annulus and two topological disks. For each pair of patches of the AIS subject and the control, we compute a bijective map using the holomorphic 1-form and harmonic map techniques. With a carefully designed boundary condition, the three individual maps can be glued in a seamless manner so that the resulting registration is a homeomorphism with exact landmark matching. Our method is robust, automatic and efficient. It takes only a few seconds on a low-end PC, which significantly outperforms the non-rigid ICP algorithm. We conducted a student’s t-test on the test data. Computational results show that using the mean curvature measure E_H, our method can distinguish the AIS subjects and the normal subjects.
Registration, Landmark matching, Vestibular system, Discrete geodesic, Harmonic map, Holomorphic 1-form
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@inproceedings{minqi2014automatic,
  title={Automatic registration of vestibular systems with exact landmark correspondence},
  author={Minqi Zhang, Fang Li, Xingce Wang, Zhongke Wu, Shi-Qing Xin, Ronald Lok Ming Lui, Lin Shi, Defeng Wang, and Ying He},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160905180217931814631},
  booktitle={Graphical Models},
  volume={76},
  number={5},
  pages={532–541},
  year={2014},
}
Minqi Zhang, Fang Li, Xingce Wang, Zhongke Wu, Shi-Qing Xin, Ronald Lok Ming Lui, Lin Shi, Defeng Wang, and Ying He. Automatic registration of vestibular systems with exact landmark correspondence. 2014. Vol. 76. In Graphical Models. pp.532–541. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160905180217931814631.
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