Difference between revisions of "Cubic spline interpolation"

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Line 2: Line 2:
 
Points can be added by clicking on "Add point".
 
Points can be added by clicking on "Add point".
 
<html>
 
<html>
−
<link rel="stylesheet" type="text/css" href="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraph.css" />
 
−
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/prototype.js"></script>
 
−
<script type="text/javascript" src="http://jsxgraph.uni-bayreuth.de/distrib/jsxgraphcore.js"></script>
 
 
<form><input type="button" value="Add point" onClick="addPoint()"></form>
 
<form><input type="button" value="Add point" onClick="addPoint()"></form>
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<div id="box" class="jxgbox" style="width:600px; height:400px;"></div>
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</html>
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<script language="JavaScript">
+
<jsxgraph width="600" height="400" box="box">
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        board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25});
+
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -5], axis:true});
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        // Axes
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var p = [];
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        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
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p[0] = board.create('point', [-1,2], {size: 4, face: 'o'});
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        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
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p[1] = board.create('point', [0,-1], {size: 4, face: 'o'});
−
 
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p[2] = board.create('point', [1,0], {size: 4, face: 'o'});
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        var p = [];
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p[3] = board.create('point', [2,1], {size: 4, face: 'o'});
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        p[0] = board.createElement('point', [-1,2], {style:6});
 
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        p[1] = board.createElement('point', [0,-1], {style:6});
 
−
        p[2] = board.createElement('point', [1,0], {style:6});
 
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        p[3] = board.createElement('point', [2,1], {style:6});
 
  
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        var c = board.createElement('spline', p, {strokeWidth:3});
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var c = board.create('spline', p, {strokeWidth:3});
  
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        var g = board.createElement('glider', [1.5,0,c], {name:'',style:8});
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var g = board.create('glider', [1.5,0,c], {name:'',style:8});
−
        var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#aa0000'});
+
var t = board.create('tangent', [g], {dash:2,strokeColor:'#aa0000'});
 
      
 
      
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        function addPoint() {
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function addPoint() {
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          p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
    p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size: 4, face: 'o'}));
−
          board.update();
+
    board.update();
−
        }
+
}          
−
         
+
</jsxgraph>
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</script>
 
−
</html>
 
  
 
=== References ===
 
=== References ===
Line 37: Line 28:
 
=== The underlying JavaScript code ===
 
=== The underlying JavaScript code ===
 
<source lang="javascript">
 
<source lang="javascript">
−
        board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25});
+
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -5], axis:true});
−
        // Axes
+
var p = [];
−
        b1axisx = board.createElement('axis', [[0,0], [1,0]], {});
+
p[0] = board.create('point', [-1,2], {size: 4, face: 'o'});
−
        b1axisy = board.createElement('axis', [[0,0], [0,1]], {});
+
p[1] = board.create('point', [0,-1], {size: 4, face: 'o'});
 +
p[2] = board.create('point', [1,0], {size: 4, face: 'o'});
 +
p[3] = board.create('point', [2,1], {size: 4, face: 'o'});
  
−
        var p = [];
+
var c = board.create('spline', p, {strokeWidth:3});
−
        p[0] = board.createElement('point', [-1,2], {style:6});
 
−
        p[1] = board.createElement('point', [0,-1], {style:6});
 
−
        p[2] = board.createElement('point', [1,0], {style:6});
 
−
        p[3] = board.createElement('point', [2,1], {style:6});
 
  
−
        var c = board.createElement('spline', p, {strokeWidth:3});
+
var g = board.create('glider', [1.5,0,c], {name:'',style:8});
−
 
+
var t = board.create('tangent', [g], {dash:2,strokeColor:'#aa0000'});
−
        var g = board.createElement('glider', [1.5,0,c], {name:'',style:8});
+
   
−
        var t = board.createElement('tangent', [g], {dash:2,strokeColor:'#aa0000'});
+
function addPoint() {
−
 
+
    p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size: 4, face: 'o'}));
−
        function addPoint() {
+
    board.update();
−
          p.push(board.createElement('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{style:6}));
+
}</source>
−
          board.update();
 
−
        }
 
−
 
 
−
</source>
 
  
  
 
[[Category:Examples]]
 
[[Category:Examples]]
 +
[[Category:Interpolation]]

Latest revision as of 15:09, 7 June 2011

Constructs a cubic spline through given points. Points can be added by clicking on "Add point".

References

The underlying JavaScript code

var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -5], axis:true});
var p = [];
p[0] = board.create('point', [-1,2], {size: 4, face: 'o'});
p[1] = board.create('point', [0,-1], {size: 4, face: 'o'});
p[2] = board.create('point', [1,0], {size: 4, face: 'o'});
p[3] = board.create('point', [2,1], {size: 4, face: 'o'});

var c = board.create('spline', p, {strokeWidth:3});

var g = board.create('glider', [1.5,0,c], {name:'',style:8});
var t = board.create('tangent', [g], {dash:2,strokeColor:'#aa0000'});
     
function addPoint() {
    p.push(board.create('point',[(Math.random()-0.5)*10,(Math.random()-0.5)*3],{size: 4, face: 'o'}));
    board.update();
}
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