rieLog: Riemannian logarithm map

In manifold: Operations for Riemannian Manifolds

Riemannian logarithm map

Description

Riemannian logarithm map

Usage

## S3 method for class 'Euclidean'
rieLog(mfd, p, X, ...)

rieLog(mfd, p, X, ...)

## S3 method for class 'L2'
rieLog(mfd, p, X, ...)

## S3 method for class 'HS'
rieLog(mfd, p, X, tol = 1e-07, ...)

## S3 method for class 'Dens'
rieLog(mfd, p, X, ...)

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

## S3 method for class 'LogEu'
rieLog(mfd, p, X, ...)

## S3 method for class 'AffInv'
rieLog(mfd, p, X, ...)

## S3 method for class 'Sphere'
rieLog(mfd, p, X, tol = 1e-10, ...)

Arguments

mfd	A manifold object created by createM
p, X	Matrices with n columns. The logarithm map of each column in X is calculated w.r.t. the corresponding column in p.
...	Passed into specific methods
tol	Tolerance for 'rieLog.SO'

Value

A matrix in which columns correspond to points on the tangent spaces

Methods (by class)

• rieLog(Euclidean): Method

• rieLog(L2): Method

• rieLog(HS): Method

• rieLog(Dens): Method

• rieLog(SO): Method

• rieLog(LogEu): Method

• rieLog(AffInv): Method

• rieLog(Sphere): Method

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