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.
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Geodesics and Laplace spectrum on 3D contact sub-Riemannian manifolds: ... - Yves Colin de Verdière
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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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