rieExp: Riemannian exponential map

In manifold: Operations for Riemannian Manifolds

Riemannian exponential map

Description

Riemannian exponential map

Usage

## S3 method for class 'Euclidean'
rieExp(mfd, p, V, ...)

rieExp(mfd, p, V, ...)

## S3 method for class 'L2'
rieExp(mfd, p, V, ...)

## S3 method for class 'HS'
rieExp(mfd, p, V, ...)

## S3 method for class 'Dens'
rieExp(mfd, p, V, ...)

## S3 method for class 'SO'
rieExp(mfd, p, V, tol = 1e-10, ...)

## S3 method for class 'LogEu'
rieExp(mfd, p, V, ...)

## S3 method for class 'AffInv'
rieExp(mfd, p, V, ...)

## S3 method for class 'Sphere'
rieExp(mfd, p, V, ...)

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'

Value

A matrix in which columns correspond to points on the manifold

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

manifold documentation built on Dec. 1, 2025, 5:09 p.m.