Cubic spline interpolation: Difference between revisions

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Line 5: Line 5:
</html>
</html>
<jsxgraph width="600" height="400" box="box">
<jsxgraph width="600" height="400" box="box">
var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -5], axis:true});
var p = [];
var p = [];
p[0] = board.create('point', [-1,2], {style:6});
p[0] = board.create('point', [-1,2], {size: 4, face: 'o'});
p[1] = board.create('point', [0,-1], {style:6});
p[1] = board.create('point', [0,-1], {size: 4, face: 'o'});
p[2] = board.create('point', [1,0], {style:6});
p[2] = board.create('point', [1,0], {size: 4, face: 'o'});
p[3] = board.create('point', [2,1], {style:6});
p[3] = board.create('point', [2,1], {size: 4, face: 'o'});


var c = board.create('spline', p, {strokeWidth:3});
var c = board.create('spline', p, {strokeWidth:3});
Line 18: Line 18:
      
      
function addPoint() {
function addPoint() {
     p.push(board.create('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>
</jsxgraph>


Line 29: Line 28:
=== The underlying JavaScript code ===
=== The underlying JavaScript code ===
<source lang="javascript">
<source lang="javascript">
var board = JXG.JSXGraph.initBoard('box', {originX: 250, originY: 250, unitX: 50, unitY: 25, axis:true});
var board = JXG.JSXGraph.initBoard('box', {boundingbox: [-5, 10, 7, -5], axis:true});
var p = [];
var p = [];
p[0] = board.create('point', [-1,2], {style:6});
p[0] = board.create('point', [-1,2], {size: 4, face: 'o'});
p[1] = board.create('point', [0,-1], {style:6});
p[1] = board.create('point', [0,-1], {size: 4, face: 'o'});
p[2] = board.create('point', [1,0], {style:6});
p[2] = board.create('point', [1,0], {size: 4, face: 'o'});
p[3] = board.create('point', [2,1], {style:6});
p[3] = board.create('point', [2,1], {size: 4, face: 'o'});


var c = board.create('spline', p, {strokeWidth:3});
var c = board.create('spline', p, {strokeWidth:3});
Line 42: Line 41:
      
      
function addPoint() {
function addPoint() {
     p.push(board.create('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();
}
}</source>
</source>




[[Category:Examples]]
[[Category:Examples]]
[[Category:Interpolation]]
[[Category:Interpolation]]

Latest revision as of 13:09, 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();
}