distance: Geodesic distance

In manifold: Operations for Riemannian Manifolds

Geodesic distance

Description

Geodesic distance

Usage

## S3 method for class 'Euclidean'
distance(mfd, X, Y, ...)

distance(mfd, X, Y, ...)

## S3 method for class 'L2'
distance(mfd, X, Y, ...)

## S3 method for class 'HS'
distance(mfd, X, Y, ...)

## S3 method for class 'Dens'
distance(mfd, X, Y, ...)

## S3 method for class 'SO'
distance(mfd, X, Y, ...)

## S3 method for class 'LogEu'
distance(mfd, X, Y, assumeLogRep = FALSE, ...)

## S3 method for class 'AffInv'
distance(mfd, X, Y, ...)

## S3 method for class 'Sphere'
distance(mfd, X, Y, ...)

Arguments

mfd	A manifold object created by createM
X, Y	Matrices with n columns. The distance between each pair of columns is calculated. If either X or Y is a vector then it is recycled.
...	Passed into specific methods
assumeLogRep	Whether to assume the input are already the representations under the logarithm map

Value

A vector with n entries containing the distances between pairs of points

Methods (by class)

• distance(Euclidean): Method

• distance(L2): Method

• distance(HS): Method

• distance(Dens): Method

• distance(SO): Method

• distance(LogEu): Method

• distance(AffInv): Method

• distance(Sphere): Method

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