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101 lines
4.0 KiB
101 lines
4.0 KiB
<!DOCTYPE HTML>
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<html>
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<head>
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<title>Graph2d | Interpolation</title>
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<link href="../../dist/vis.css" rel="stylesheet" type="text/css" />
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<style type="text/css">
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body, html {
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font-family: sans-serif;
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}
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</style>
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<script src="../../dist/vis.js"></script>
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<script>(function(i,s,o,g,r,a,m){i['GoogleAnalyticsObject']=r;i[r]=i[r]||function(){(i[r].q=i[r].q||[]).push(arguments)},i[r].l=1*new Date();a=s.createElement(o),m=s.getElementsByTagName(o)[0];a.async=1;a.src=g;m.parentNode.insertBefore(a,m)})(window,document,'script','//www.google-analytics.com/analytics.js','ga');ga('create', 'UA-61231638-1', 'auto');ga('send', 'pageview');</script></head>
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<body>
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<h2>Graph2d | Interpolation</h2>
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<div style="width:700px; font-size:14px; text-align: justify;">
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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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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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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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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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<br /><br />
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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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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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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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</div>
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<br />
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<div id="visualization"></div>
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<script type="text/javascript">
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// create a dataSet with groups
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var names = ['centripetal', 'chordal', 'uniform', 'disabled'];
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var groups = new vis.DataSet();
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groups.add({
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id: 0,
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content: names[0],
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options: {
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drawPoints: false,
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interpolation: {
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parametrization: 'centripetal'
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}
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}});
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groups.add({
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id: 1,
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content: names[1],
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options: {
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drawPoints: false,
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interpolation: {
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parametrization: 'chordal'
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}
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}});
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groups.add({
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id: 2,
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content: names[2],
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options: {
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drawPoints: false,
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interpolation: {
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parametrization: 'uniform'
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}
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}
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});
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groups.add({
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id: 3,
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content: names[3],
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options: {
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drawPoints: { style: 'circle' },
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interpolation: false
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}});
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var container = document.getElementById('visualization');
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var dataset = new vis.DataSet();
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for (var i = 0; i < names.length; i++) {
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dataset.add( [
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{x: '2014-06-12', y: 0 , group: i},
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{x: '2014-06-13', y: 40, group: i},
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{x: '2014-06-14', y: 10, group: i},
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{x: '2014-06-15', y: 15, group: i},
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{x: '2014-06-15', y: 30, group: i},
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{x: '2014-06-17', y: 10, group: i},
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{x: '2014-06-18', y: 15, group: i},
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{x: '2014-06-19', y: 52, group: i},
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{x: '2014-06-20', y: 10, group: i},
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{x: '2014-06-21', y: 20, group: i}
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]);
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}
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var options = {
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dataPoints: false,
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dataAxis: {visible: false},
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legend: true,
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start: '2014-06-11',
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end: '2014-06-22'
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};
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var graph2d = new vis.Graph2d(container, dataset, groups, options);
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</script>
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</body>
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</html>
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