knots_quantile

This generates a sequence of knots for a given set of time points based on the quantiles.

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

knots_quantile function

<dl><dt>x</dt>
<dd>Numeric vector representing time points for the geodesic path.</dd>
<dt>dimension</dt>
<dd>Numeric vector the number of knots.</dd>
<dt>tiny</dt>
<dd>Numeric value representing a small constant that slightly expands the boundary.</dd></dl>

Arguments

Generate knots for the piecewise geodesic curve based on the quantiles — knots_quantile

<dl>

<dt>x</dt>
<dd>Numeric vector representing time points for the geodesic path.</dd>


<dt>dimension</dt>
<dd>Numeric vector the number of knots.</dd>


<dt>tiny</dt>
<dd>Numeric value representing a small constant that slightly expands the boundary.</dd>

</dl>

knots_quantile: Generate knots for the piecewise geodesic curve based on the quantiles

Description

Usage

Value

Arguments

Examples