Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.
The orthonormal bases of the tangent planes Txiℳ and Txiℳ determined by local PCA are marked on top of the manifold by double arrows. The lower part demonstrates the projection of the data points onto the subspaces spanned by the orthonormal bases (the tangent planes). The coloring of the axes (blue and red) correspond to the coloring of the basis vectors. In this case, Oij is a composition of a rotation and a reflection.
