bezier_find_length

Control points in the form of a 4 by 2 matrix with rows
    corresponding to \(P_0\) to \(P_3\)

Point from which to start measuring arc length

from

Boolean, with default <code>TRUE</code> meaning to
 measure length towards the end, and<code>FALSE</code> meaning to measure
 in the opposite direction

increasing

Boolean, with <code>TRUE</code> meaning to return details from
 <code>uniroot()</code> and default <code>FALSE</code> meaning to give just the
 position on the curve

give

Further arguments passed to <code>uniroot()</code>

&#8230;

Finds the value of the Bezier parameter \(t\) that corresponds to a
given arclength from the start of a Bezier curve

Makes nice pictures of knots using Bezier curves and
numerical optimization.

Robin K S Hankin

knotR

Knot Diagrams using Bezier Curves

bezier_find_length function

<dl> <dt>P</dt>
<dd>Control points in the form of a 4 by 2 matrix with rows
 corresponding to \(P_0\) to \(P_3\)</dd> <dt>from</dt>
<dd>Point from which to start measuring arc length</dd> <dt>len</dt>
<dd>Arc length</dd> <dt>increasing</dt>
<dd>Boolean, with default <code>TRUE</code> meaning to
 measure length towards the end, and<code>FALSE</code> meaning to measure
 in the opposite direction</dd> <dt>give</dt>
<dd>Boolean, with <code>TRUE</code> meaning to return details from
 <code><a href="/link/uniroot()?package=knotR&version=1.0-2" data-mini-rdoc="knotR::uniroot()">uniroot()</a></code> and default <code>FALSE</code> meaning to give just the
 position on the curve</dd> <dt>...</dt>
<dd>Further arguments passed to <code><a href="/link/uniroot()?package=knotR&version=1.0-2" data-mini-rdoc="knotR::uniroot()">uniroot()</a></code></dd></dl>

Arguments

Author

Solve for arclength — bezier_find_length

<dl>

 <dt>P</dt>
<dd>Control points in the form of a 4 by 2 matrix with rows
 corresponding to \(P_0\) to \(P_3\)</dd>

 <dt>from</dt>
<dd>Point from which to start measuring arc length</dd>

 <dt>len</dt>
<dd>Arc length</dd>

 <dt>increasing</dt>
<dd>Boolean, with default <code>TRUE</code> meaning to
 measure length towards the end, and<code>FALSE</code> meaning to measure
 in the opposite direction</dd>

 <dt>give</dt>
<dd>Boolean, with <code>TRUE</code> meaning to return details from
 <code><a href='https://rdrr.io/r/stats/uniroot.html'>uniroot()</a></code> and default <code>FALSE</code> meaning to give just the
 position on the curve</dd>

 <dt>...</dt>
<dd>Further arguments passed to <code><a href='https://rdrr.io/r/stats/uniroot.html'>uniroot()</a></code></dd>

</dl>

bezier_find_length: Solve for arclength

Description

Usage

Arguments

Author

Details

See Also

Examples