find_optimal_t

Finds optimal alignment for a discrete open srv curve to a smooth curve

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

find_optimal_t function

<dl><dt>srv_curve</dt>
<dd>srv transformation of the smooth curve, needs to be vectorized</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>
<dt>initial_t</dt>
<dd>starting value for the optimization algorithm</dd>
<dt>eps</dt>
<dd>convergence tolerance</dd></dl>

Arguments

Optimal alignment to a smooth curve — find_optimal_t

<dl>

<dt>srv_curve</dt>
<dd>srv transformation of the smooth curve, needs to be vectorized</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>


<dt>initial_t</dt>
<dd>starting value for the optimization algorithm</dd>


<dt>eps</dt>
<dd>convergence tolerance</dd>

</dl>

find_optimal_t: Optimal alignment to a smooth curve

Description

Usage

Value

Arguments