| 1 | <!DOCTYPE HTML>
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| 2 | <html>
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| 3 | <head>
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| 4 | <title>Graph2d | Interpolation</title>
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| 5 | <link href="../../dist/vis-timeline-graph2d.min.css" rel="stylesheet" type="text/css" />
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| 6 | <style type="text/css">
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| 7 | body, html {
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| 8 | font-family: sans-serif;
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| 9 | }
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| 10 | </style>
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| 11 |
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| 12 | <script src="../../dist/vis-timeline-graph2d.min.js"></script>
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| 13 |
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| 14 | </head>
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| 15 | <body>
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| 16 | <h2>Graph2d | Interpolation</h2>
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| 17 | <div style="width:700px; font-size:14px; text-align: justify;">
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| 18 | 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>.
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| 19 | The user can configure these per group, or globally. In this example we show all 4 possiblities. The differences are in the parametrization of
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| 20 | the curves. The options are <code>uniform</code>, <code>chordal</code> and <code>centripetal</code>. Alternatively you can disable the Catmull-Rom interpolation and
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| 21 | 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.
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| 22 | <br /><br />
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| 23 | 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
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| 24 | 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
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| 25 | 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>.
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| 26 | </div>
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| 27 | <br />
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| 28 | <div id="visualization"></div>
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| 29 |
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| 30 | <script type="text/javascript">
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| 31 |
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| 32 | var names = ['centripetal', 'chordal', 'uniform', 'disabled'];
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| 33 | var groups = new vis.DataSet();
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| 34 | groups.add({
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| 35 | id: 0,
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| 36 | content: names[0],
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| 37 | options: {
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| 38 | drawPoints: false,
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| 39 | interpolation: {
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| 40 | parametrization: 'centripetal'
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| 41 | }
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| 42 | }});
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| 43 |
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| 44 | groups.add({
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| 45 | id: 1,
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| 46 | content: names[1],
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| 47 | options: {
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| 48 | drawPoints: false,
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| 49 | interpolation: {
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| 50 | parametrization: 'chordal'
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| 51 | }
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| 52 | }});
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| 53 |
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| 54 | groups.add({
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| 55 | id: 2,
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| 56 | content: names[2],
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| 57 | options: {
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| 58 | drawPoints: false,
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| 59 | interpolation: {
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| 60 | parametrization: 'uniform'
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| 61 | }
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| 62 | }
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| 63 | });
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| 64 |
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| 65 | groups.add({
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| 66 | id: 3,
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| 67 | content: names[3],
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| 68 | options: {
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| 69 | drawPoints: { style: 'circle' },
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| 70 | interpolation: false
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| 71 | }});
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| 72 |
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| 73 | var container = document.getElementById('visualization');
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| 74 | var dataset = new vis.DataSet();
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| 75 | for (var i = 0; i < names.length; i++) {
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| 76 | dataset.add( [
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| 77 | {x: '2014-06-12', y: 0 , group: i},
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| 78 | {x: '2014-06-13', y: 40, group: i},
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| 79 | {x: '2014-06-14', y: 10, group: i},
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| 80 | {x: '2014-06-15', y: 15, group: i},
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| 81 | {x: '2014-06-15', y: 30, group: i},
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| 82 | {x: '2014-06-17', y: 10, group: i},
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| 83 | {x: '2014-06-18', y: 15, group: i},
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| 84 | {x: '2014-06-19', y: 52, group: i},
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| 85 | {x: '2014-06-20', y: 10, group: i},
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| 86 | {x: '2014-06-21', y: 20, group: i}
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| 87 | ]);
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| 88 | }
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| 89 |
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| 90 | var options = {
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| 91 | drawPoints: false,
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| 92 | dataAxis: {visible: false},
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| 93 | legend: true,
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| 94 | start: '2014-06-11',
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| 95 | end: '2014-06-22'
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| 96 | };
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| 97 | var graph2d = new vis.Graph2d(container, dataset, groups, options);
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| 98 |
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| 99 | </script>
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| 100 | </body>
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| 101 | </html> |
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