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