This function computes the dot product of two input vectors u and 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

dot function

<dl><dt>u</dt>
<dd>Numeric vector.</dd>
<dt>v</dt>
<dd>Numeric vector.</dd></dl>

Arguments

Compute the dot product of two vectors — dot

<dl>

<dt>u</dt>
<dd>Numeric vector.</dd>


<dt>v</dt>
<dd>Numeric vector.</dd>

</dl>

dot: Compute the dot product of two vectors

Description

Usage

Value

Arguments

Examples