spherical_to_cartesian

This function converts spherical coordinates (theta, phi) to Cartesian coordinates.

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

spherical_to_cartesian function

<dl><dt>theta_phi</dt>
<dd>A matrix where each row contains the spherical coordinates (theta, phi) of a point.</dd>
<dt>byrow</dt>
<dd>logical. If TRUE (the default) the matrix is filled by rows, otherwise the matrix is filled by columns.</dd></dl>

Arguments

Convert spherical coordinates to Cartesian coordinates — spherical_to_cartesian

<dl>

<dt>theta_phi</dt>
<dd>A matrix where each row contains the spherical coordinates (theta, phi) of a point.</dd>


<dt>byrow</dt>
<dd>logical. If TRUE (the default) the matrix is filled by rows, otherwise the matrix is filled by columns.</dd>

</dl>

spherical_to_cartesian: Convert spherical coordinates to Cartesian coordinates

Description

Usage

Value

Arguments

Examples