Principal geodesic analysis

In geometric data analysis and statistical shape analysis, principal geodesic analysis is a generalization of principal component analysis to a non-Euclidean, non-linear setting of manifolds suitable for use with shape descriptors such as medial representations.

References

  • Principal Geodesic Analysis for the Study of Nonlinear Statistics of Shape
  • Probabilistic Principal Geodesic Analysis
  • Kernel Principal Geodesic Analysis
  • Mixture Probabilistic Principal Geodesic Analysis


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