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.
Famous quotes containing the words principal and/or analysis:
“Heaven has a Sea of Glass on which angels go sliding every afternoon. There are many golden streets, but the principal thoroughfares are Amen Street and Hallelujah Avenue, which intersect in front of the Throne. These streets play tunes when walked on, and all shoes have songs in them.”
—For the State of Florida, U.S. public relief program (1935-1943)
“Analysis as an instrument of enlightenment and civilization is good, in so far as it shatters absurd convictions, acts as a solvent upon natural prejudices, and undermines authority; good, in other words, in that it sets free, refines, humanizes, makes slaves ripe for freedom. But it is bad, very bad, in so far as it stands in the way of action, cannot shape the vital forces, maims life at its roots. Analysis can be a very unappetizing affair, as much so as death.”
—Thomas Mann (1875–1955)