A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds

@article{NavaYazdani2021AHG,
  title={A Hierarchical Geodesic Model for Longitudinal Analysis on Manifolds},
  author={Esfandiar Nava-Yazdani and Hans-Christian Hege and Christoph von Tycowicz},
  journal={Journal of Mathematical Imaging and Vision},
  year={2021},
  volume={64},
  pages={395 - 407}
}
In many applications, geodesic hierarchical models are adequate for the study of temporal observations. We employ such a model derived for manifold-valued data to Kendall’s shape space. In particular, instead of the Sasaki metric, we adapt a functional-based metric, which increases the computational efficiency and does not require the implementation of the curvature tensor. We propose the corresponding variational time discretization of geodesics and employ the approach for longitudinal… 

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