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Catmull-Rom splines
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<iframe 
    src="http://jsxgraph.uni-bayreuth.de/share/iframe/catmull-rom-splines" 
    style="border: 1px solid black; overflow: hidden; width: 550px; aspect-ratio: 55 / 65;" 
    name="JSXGraph example: Catmull-Rom splines" 
    allowfullscreen
></iframe>
This code has to 
<div id="board-0-wrapper" class="jxgbox-wrapper " style="width: 100%; ">
   <div id="board-0" class="jxgbox" style="aspect-ratio: 1 / 1; width: 100%;" data-ar="1 / 1"></div>
</div>

<script type = "text/javascript"> 
    /*
    This example is licensed under a 
    Creative Commons Attribution 4.0 International License.
    https://creativecommons.org/licenses/by/4.0/
    
    Please note you have to mention 
    The Center of Mobile Learning with Digital Technology
    in the credits.
    */
    
    const BOARDID = 'board-0';

    const board = JXG.JSXGraph.initBoard(BOARDID, {
        axis: true,
        boundingbox: [-5, 5, 5, -5]
    });
    var p = [],
        c, i;
    
    // Create 5 random points
    for (i = 0; i < 5; i++) {
        p.push(board.create('point', [(Math.random() - 0.5) * 7, (Math.random() - 0.5) * 7]));
    }
    c = board.create('curve', JXG.Math.Numerics.CatmullRomSpline(p), {
        strokeWidth: 3
    });
 </script> 
/*
This example is licensed under a 
Creative Commons Attribution 4.0 International License.
https://creativecommons.org/licenses/by/4.0/

Please note you have to mention 
The Center of Mobile Learning with Digital Technology
in the credits.
*/

const BOARDID = 'your_div_id'; // Insert your id here!

const board = JXG.JSXGraph.initBoard(BOARDID, {
    axis: true,
    boundingbox: [-5, 5, 5, -5]
});
var p = [],
    c, i;

// Create 5 random points
for (i = 0; i < 5; i++) {
    p.push(board.create('point', [(Math.random() - 0.5) * 7, (Math.random() - 0.5) * 7]));
}
c = board.create('curve', JXG.Math.Numerics.CatmullRomSpline(p), {
    strokeWidth: 3
});
<jsxgraph width="100%" aspect-ratio="1 / 1" title="Catmull-Rom splines" description="This construction was copied from JSXGraph examples database: BTW HERE SHOULD BE A GENERATED LINKuseGlobalJS="false">
   /*
   This example is licensed under a 
   Creative Commons Attribution 4.0 International License.
   https://creativecommons.org/licenses/by/4.0/
   
   Please note you have to mention 
   The Center of Mobile Learning with Digital Technology
   in the credits.
   */
   
   const board = JXG.JSXGraph.initBoard(BOARDID, {
       axis: true,
       boundingbox: [-5, 5, 5, -5]
   });
   var p = [],
       c, i;
   
   // Create 5 random points
   for (i = 0; i < 5; i++) {
       p.push(board.create('point', [(Math.random() - 0.5) * 7, (Math.random() - 0.5) * 7]));
   }
   c = board.create('curve', JXG.Math.Numerics.CatmullRomSpline(p), {
       strokeWidth: 3
   });
</jsxgraph>
Have also a look at the examples 
// Define the id of your board in BOARDID

const board = JXG.JSXGraph.initBoard(BOARDID, {
    axis: true,
    boundingbox: [-5, 5, 5, -5]
});
var p = [],
    c, i;

// Create 5 random points
for (i = 0; i < 5; i++) {
    p.push(board.create('point', [(Math.random() - 0.5) * 7, (Math.random() - 0.5) * 7]));
}
c = board.create('curve', JXG.Math.Numerics.CatmullRomSpline(p), {
    strokeWidth: 3
});

license

This example is licensed under a Creative Commons Attribution 4.0 International License.
Please note you have to mention The Center of Mobile Learning with Digital Technology in the credits.