<!DOCTYPE HTML>
							 | 
						|
								<html>
							 | 
						|
								<head>
							 | 
						|
								    <title>Graph2d | Interpolation</title>
							 | 
						|
								    <link href="../../dist/vis.css" rel="stylesheet" type="text/css" />
							 | 
						|
								    <style type="text/css">
							 | 
						|
								        body, html {
							 | 
						|
								            font-family: sans-serif;
							 | 
						|
								        }
							 | 
						|
								    </style>
							 | 
						|
								
							 | 
						|
								    <script src="../../dist/vis.js"></script>
							 | 
						|
								
							 | 
						|
								</head>
							 | 
						|
								<body>
							 | 
						|
								<h2>Graph2d | Interpolation</h2>
							 | 
						|
								<div style="width:700px; font-size:14px; text-align: justify;">
							 | 
						|
								    The Graph2d makes use of <a href="http://en.wikipedia.org/wiki/Centripetal_Catmull%E2%80%93Rom_spline" target="_blank">Catmull-Rom spline interpolation</a>.
							 | 
						|
								    The user can configure these per group, or globally. In this example we show all 4 possiblities. The differences are in the parametrization of
							 | 
						|
								    the curves. The options are <code>uniform</code>, <code>chordal</code> and <code>centripetal</code>. Alternatively you can disable the Catmull-Rom interpolation and
							 | 
						|
								    a linear interpolation will be used. The <code>centripetal</code> parametrization produces the best result (no self intersection, yet follows the line closely) and is therefore the default setting.
							 | 
						|
								    <br /><br />
							 | 
						|
								    For both the <code>centripetal</code> and <code>chordal</code> parametrization, the distances between the points have to be calculated and this makes these methods computationally intensive
							 | 
						|
								    if there are very many points. The <code>uniform</code> parametrization still has to do transformations, though it does not have to calculate the distance between point. Finally, the
							 | 
						|
								    linear interpolation is the fastest method. For more on the Catmull-Rom method, <a href="http://www.cemyuksel.com/research/catmullrom_param/catmullrom.pdf" target="_blank">C. Yuksel et al. have an interesting paper titled ″On the parametrization of Catmull-Rom Curves″</a>.
							 | 
						|
								</div>
							 | 
						|
								<br />
							 | 
						|
								<div id="visualization"></div>
							 | 
						|
								
							 | 
						|
								<script type="text/javascript">
							 | 
						|
								    // create a dataSet with groups
							 | 
						|
								    var names = ['centripetal', 'chordal', 'uniform', 'disabled'];
							 | 
						|
								    var groups = new vis.DataSet();
							 | 
						|
								    groups.add({
							 | 
						|
								        id: 0,
							 | 
						|
								        content: names[0],
							 | 
						|
								        options: {
							 | 
						|
								            drawPoints: false,
							 | 
						|
								            catmullRom: {
							 | 
						|
								                parametrization: 'centripetal'
							 | 
						|
								            }
							 | 
						|
								        }});
							 | 
						|
								
							 | 
						|
								    groups.add({
							 | 
						|
								        id: 1,
							 | 
						|
								        content: names[1],
							 | 
						|
								        options: {
							 | 
						|
								            drawPoints: false,
							 | 
						|
								            catmullRom: {
							 | 
						|
								                parametrization: 'chordal'
							 | 
						|
								            }
							 | 
						|
								        }});
							 | 
						|
								
							 | 
						|
								    groups.add({
							 | 
						|
								        id: 2,
							 | 
						|
								        content: names[2],
							 | 
						|
								        options: {
							 | 
						|
								            drawPoints: false,
							 | 
						|
								            catmullRom: {
							 | 
						|
								                parametrization: 'uniform'
							 | 
						|
								            }
							 | 
						|
								        }
							 | 
						|
								    });
							 | 
						|
								
							 | 
						|
								    groups.add({
							 | 
						|
								        id: 3,
							 | 
						|
								        content: names[3],
							 | 
						|
								        options: {
							 | 
						|
								            drawPoints: { style: 'circle' },
							 | 
						|
								            catmullRom: false
							 | 
						|
								        }});
							 | 
						|
								
							 | 
						|
								    var container = document.getElementById('visualization');
							 | 
						|
								    var dataset = new vis.DataSet();
							 | 
						|
								    for (var i = 0; i < names.length; i++) {
							 | 
						|
								        dataset.add( [
							 | 
						|
								            {x: '2014-06-12', y: 0 , group: i},
							 | 
						|
								            {x: '2014-06-13', y: 40, group: i},
							 | 
						|
								            {x: '2014-06-14', y: 10, group: i},
							 | 
						|
								            {x: '2014-06-15', y: 15, group: i},
							 | 
						|
								            {x: '2014-06-15', y: 30, group: i},
							 | 
						|
								            {x: '2014-06-17', y: 10, group: i},
							 | 
						|
								            {x: '2014-06-18', y: 15, group: i},
							 | 
						|
								            {x: '2014-06-19', y: 52, group: i},
							 | 
						|
								            {x: '2014-06-20', y: 10, group: i},
							 | 
						|
								            {x: '2014-06-21', y: 20, group: i}
							 | 
						|
								        ]);
							 | 
						|
								    }
							 | 
						|
								
							 | 
						|
								    var options = {
							 | 
						|
								        dataPoints: false,
							 | 
						|
								        dataAxis: {visible: false},
							 | 
						|
								        legend: true,
							 | 
						|
								        start: '2014-06-11',
							 | 
						|
								        end: '2014-06-22'
							 | 
						|
								    };
							 | 
						|
								    var graph2d = new vis.Graph2d(container, dataset, groups, options);
							 | 
						|
								
							 | 
						|
								</script>
							 | 
						|
								</body>
							 | 
						|
								</html>
							 |