Hyperbolic harmonic brain surface registration with curvature-based landmark matching

Rui Shi Wei Zeng Zhengyu Su Yalin Wang Hanna Damasio Zhonglin Lu Shing-Tung Yau Xianfeng Gu

Computational Geometry mathscidoc:1912.43673

159-170, 2013.6
Brain Cortical surface registration is required for inter-subject studies of functional and anatomical data. Harmonic mapping has been applied for brain mapping, due to its existence, uniqueness, regularity and numerical stability. In order to improve the registration accuracy, sculcal landmarks are usually used as constraints for brain registration. Unfortunately, constrained harmonic mappings may not be diffeomorphic and produces invalid registration. This work conquer this problem by changing the Riemannian metric on the target cortical surface to a hyperbolic metric, so that the harmonic mapping is guaranteed to be a diffeomorphism while the landmark constraints are enforced as boundary matching condition. The computational algorithms are based on the Ricci flow method and hyperbolic heat diffusion. Experimental results demonstrate that, by changing the Riemannian metric, the registrations are
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@inproceedings{rui2013hyperbolic,
  title={Hyperbolic harmonic brain surface registration with curvature-based landmark matching},
  author={Rui Shi, Wei Zeng, Zhengyu Su, Yalin Wang, Hanna Damasio, Zhonglin Lu, Shing-Tung Yau, and Xianfeng Gu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204907783690237},
  pages={159-170},
  year={2013},
}
Rui Shi, Wei Zeng, Zhengyu Su, Yalin Wang, Hanna Damasio, Zhonglin Lu, Shing-Tung Yau, and Xianfeng Gu. Hyperbolic harmonic brain surface registration with curvature-based landmark matching. 2013. pp.159-170. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224204907783690237.
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