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manifold (version 0.1.2)

rieExp.Euclidean: Riemannian exponential map

Description

Riemannian exponential map

Usage

# S3 method for Euclidean
rieExp(mfd, p, V, ...)
rieExp(mfd, p, V, ...)
# S3 method for L2
rieExp(mfd, p, V, ...)
# S3 method for HS
rieExp(mfd, p, V, ...)
# S3 method for Dens
rieExp(mfd, p, V, ...)
# S3 method for SO
rieExp(mfd, p, V, tol = 1e-10, ...)
# S3 method for LogEu
rieExp(mfd, p, V, ...)
# S3 method for AffInv
rieExp(mfd, p, V, ...)
# S3 method for Sphere
rieExp(mfd, p, V, ...)

Value

A matrix in which columns correspond to points on the manifold

Arguments

mfd

A manifold object created by createM

p, V

Matrices with n columns. The exponential map of each column in V is calculated w.r.t. the corresponding column in p.

...

Passed into specific methods

tol

Tolerance for `rieExp.SO`

Methods (by class)

  • rieExp(Euclidean): Method

  • rieExp(L2): Method

  • rieExp(HS): Method

  • rieExp(Dens): Method

  • rieExp(SO): Method

  • rieExp(LogEu): Method

  • rieExp(AffInv): Method

  • rieExp(Sphere): Method