optimise_one_coord_analytic

Does optimization in one parameter direction

Provides functions to align curves and to compute mean curves based on the
elastic distance defined in the square-root-velocity framework. For more details on
this framework see Srivastava and Klassen (2016, <doi:10.1007/978-1-4939-4020-2>).
For more theoretical details on our methods and algorithms see
Steyer et al. (2023, <doi:10.1111/biom.13706>) and Steyer et al. (2023, <arXiv:2305.02075>).

Lisa Steyer

elasdics

Elastic Analysis of Sparse, Dense and Irregular Curves

optimise_one_coord_analytic function

<dl><dt>t</dt>
<dd>current time points, first has to be 0, last has to be 1</dd>
<dt>i</dt>
<dd>index of t that should be updated</dd>
<dt>r</dt>
<dd>time points for p, first has to be 0, last has to be 1</dd>
<dt>p</dt>
<dd>square root velocity vectors, one less than time points in r</dd>
<dt>s</dt>
<dd>time points for q, first has to be 0, last has to be 1</dd>
<dt>q</dt>
<dd>square root velocity vectors, one less than time points in s</dd></dl>

Arguments

Does optimization in one parameter direction — optimise_one_coord_analytic

<dl>

<dt>t</dt>
<dd>current time points, first has to be 0, last has to be 1</dd>


<dt>i</dt>
<dd>index of t that should be updated</dd>


<dt>r</dt>
<dd>time points for p, first has to be 0, last has to be 1</dd>


<dt>p</dt>
<dd>square root velocity vectors, one less than time points in r</dd>


<dt>s</dt>
<dd>time points for q, first has to be 0, last has to be 1</dd>


<dt>q</dt>
<dd>square root velocity vectors, one less than time points in s</dd>

</dl>

optimise_one_coord_analytic: Does optimization in one parameter direction

Description

Usage

Value

Arguments