Geodesic Analysis in Kendall’s Shape Space with Epidemiological Applications

@article{NavaYazdani2020GeodesicAI,
  title={Geodesic Analysis in Kendall’s Shape Space with Epidemiological Applications},
  author={Esfandiar Nava-Yazdani and Hans-Christian Hege and Timothy John Sullivan and Christoph von Tycowicz},
  journal={Journal of Mathematical Imaging and Vision},
  year={2020},
  volume={62},
  pages={549 - 559}
}
  • Esfandiar Nava-Yazdani, Hans-Christian Hege, +1 author Christoph von Tycowicz
  • Published 2020
  • Mathematics, Computer Science
  • Journal of Mathematical Imaging and Vision
  • We analytically determine Jacobi fields and parallel transports and compute geodesic regression in Kendall’s shape space. Using the derived expressions, we can fully leverage the geometry via Riemannian optimization and thereby reduce the computational expense by several orders of magnitude over common, nonlinear constrained approaches. The methodology is demonstrated by performing a longitudinal statistical analysis of epidemiological shape data. As an example application, we have chosen 3D… CONTINUE READING

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