exp_map

This function computes the exponential map on the unit sphere given a base point x and a vector v.

Fitting a smooth path to a given set of noisy spherical data observed at known time points. It implements a piecewise geodesic curve fitting method on the unit sphere based on a velocity-based penalization scheme. The proposed approach is implemented using the Riemannian block coordinate descent algorithm. To understand the method and algorithm, one can refer to Bak, K. Y., Shin, J. K., & Koo, J. Y. (2023) <doi:10.1080/02664763.2022.2054962> for the case of order 1. Additionally, this package includes various functions necessary for handling spherical data.

Kwan-Young Bak

spheresmooth

Piecewise Geodesic Smoothing for Spherical Data

Jae-Hwan Jhong

Ja-Yong Koo

Seyoung Lee

exp_map function

<dl><dt>x</dt>
<dd>Numeric vector representing the base point.</dd>
<dt>v</dt>
<dd>Numeric vector representing a point.</dd></dl>

Arguments

Compute the exponential map on the unit sphere. — exp_map

<dl>

<dt>x</dt>
<dd>Numeric vector representing the base point.</dd>


<dt>v</dt>
<dd>Numeric vector representing a point.</dd>

</dl>

exp_map: Compute the exponential map on the unit sphere.

Description

Usage

Value

Arguments

Examples