origin: Returns the origin of the manifold

In manifold: Operations for Riemannian Manifolds

Returns the origin of the manifold

Description

Each manifold defined in this package has been designated a more or less reasonable choice of origin.

Usage

## S3 method for class 'Euclidean'
origin(mfd, dimIntrinsic, ...)

origin(mfd, dimIntrinsic, ...)

## S3 method for class 'L2'
origin(mfd, dimIntrinsic, ...)

## S3 method for class 'HS'
origin(mfd, dimIntrinsic, ...)

## S3 method for class 'Dens'
origin(mfd, dimIntrinsic, ...)

## S3 method for class 'SO'
origin(mfd, dimIntrinsic, ...)

## S3 method for class 'SPD'
origin(mfd, dimIntrinsic, ...)

## S3 method for class 'Sphere'
origin(mfd, dimIntrinsic, ...)

Arguments

mfd	A manifold object created by createM
dimIntrinsic	An integer for the intrinsic dimension
...	Passed into specific methods

Value

A matrix with 1 column, a designation of the origin on the manifold

Methods (by class)

• origin(Euclidean): Method

• origin(L2): Method

• origin(HS): Method

• origin(Dens): The uniform density

• origin(SO): The origin has 1 in the first ambient coordinate and 0 otherwise.

• origin(SPD): The origin is the identity matrix but vectorized.

• origin(Sphere): The origin has 1 in the first ambient coordinate and 0 otherwise.

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