B-splines: Difference between revisions

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(New page: The points are connected by a cubic B-spline curve (i.e. order=4). <html><form> <input type="button" value="Add segment" onClick="addSegment();"> <input type="button" value="Remove last s...)
 
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(8 intermediate revisions by the same user not shown)
Line 7: Line 7:
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-4,4,4,-4],keepaspectratio:true,axis:true});
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-4,4,4,-4],keepaspectratio:true,axis:true});


var p = [];
var p = [], col = 'red';  
 
var col = 'red';  
p.push(brd.create('point',[2,1],{strokeColor:col,fillColor:col}));  
p.push(brd.create('point',[2,1],{strokeColor:col,fillColor:col}));  
p.push(brd.create('point',[0.75,2.5],{strokeColor:col,fillColor:col}));  
p.push(brd.create('point',[0.75,2.5],{strokeColor:col,fillColor:col}));  
Line 32: Line 30:


   if (p.length>2) {
   if (p.length>2) {
       brd.removeObject(p[p.length-1]);
       brd.removeObject(p[p.length-1]); // remove the last point from the list of objects
       p.splice(p.length-1,1);
       p.splice(p.length-1,1);           // remove the last point from the point array.
   }
   }
   brd.unsuspendUpdate();
   brd.unsuspendUpdate();
};
};
</jsxgraph>
</jsxgraph>


Line 44: Line 41:
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-4,4,4,-4],keepaspectratio:true,axis:true});
var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-4,4,4,-4],keepaspectratio:true,axis:true});


var p = [];
var p = [], col = 'red';
p.push(brd.create('point',[2,1],{strokeColor:col,fillColor:col}));
p.push(brd.create('point',[0.75,2.5],{strokeColor:col,fillColor:col}));
p.push(brd.create('point',[-0.3,0.3],{strokeColor:col,fillColor:col}));
p.push(brd.create('point',[-3,1],{strokeColor:col,fillColor:col}));     
p.push(brd.create('point',[-0.75,-2.5],{strokeColor:col,fillColor:col}));
p.push(brd.create('point',[1.5,-2.8],{strokeColor:col,fillColor:col})); 
p.push(brd.create('point',[2,-0.5],{strokeColor:col,fillColor:col}));  


var col = 'red';
var c = brd.create('curve', JXG.Math.Numerics.bspline(p,4),  
p.push(brd.create('point',[2,1],{strokeColor:col,fillColor:col}));        // data point
col = 'blue';
p.push(brd.create('point',[0.75,2.5],{strokeColor:col,fillColor:col}));  // control point
p.push(brd.create('point',[-0.3,0.3],{strokeColor:col,fillColor:col}));  // control point
 
col = 'red';
p.push(brd.create('point',[-3,1],{strokeColor:col,fillColor:col}));      // data point
col = 'blue';
p.push(brd.create('point',[-0.75,-2.5],{strokeColor:col,fillColor:col})); // control point
p.push(brd.create('point',[1.5,-2.8],{strokeColor:col,fillColor:col}));  // control point
 
col = 'red';
p.push(brd.create('point',[2,-0.5],{strokeColor:col,fillColor:col}));    // data point
 
var c = brd.create('curve', JXG.Math.Numerics.bezier(p),  
               {strokecolor:'blue', strokeOpacity:0.6, strokeWidth:5});  
               {strokecolor:'blue', strokeOpacity:0.6, strokeWidth:5});  


var addSegment = function() {
var addSegment = function() {
   brd.suspendUpdate();
   brd.suspendUpdate();
  col = 'blue';
   p.push(brd.create('point',[Math.random()*8-4,Math.random()*8-4],
   p.push(brd.create('point',[Math.random()*8-4,Math.random()*8-4],
           {strokeColor:col,fillColor:col})); // control point
           {strokeColor:col,fillColor:col}));  
  p.push(brd.create('point',[Math.random()*8-4,Math.random()*8-4],
          {strokeColor:col,fillColor:col}));  // control point
  col = 'red';
  p.push(brd.create('point',[Math.random()*8-4,Math.random()*8-4],
          {strokeColor:col,fillColor:col}));    // data point
   brd.unsuspendUpdate();
   brd.unsuspendUpdate();
};
};
Line 80: Line 63:
   brd.suspendUpdate();
   brd.suspendUpdate();


   if (p.length>4) {
   if (p.length>2) {
       brd.removeObject(p[p.length-1]);
       brd.removeObject(p[p.length-1]); // remove the last point from the list of objects
      brd.removeObject(p[p.length-2]);
       p.splice(p.length-1,1);           // remove the last point from the point array.
      brd.removeObject(p[p.length-3]);
       p.splice(p.length-3,3);
   }
   }
   brd.unsuspendUpdate();
   brd.unsuspendUpdate();

Latest revision as of 12:11, 12 January 2011

The points are connected by a cubic B-spline curve (i.e. order=4).

The underlying JavaScript code

var brd = JXG.JSXGraph.initBoard('jxgbox',{boundingbox:[-4,4,4,-4],keepaspectratio:true,axis:true});

var p = [], col = 'red'; 
p.push(brd.create('point',[2,1],{strokeColor:col,fillColor:col})); 
p.push(brd.create('point',[0.75,2.5],{strokeColor:col,fillColor:col})); 
p.push(brd.create('point',[-0.3,0.3],{strokeColor:col,fillColor:col})); 
p.push(brd.create('point',[-3,1],{strokeColor:col,fillColor:col}));      
p.push(brd.create('point',[-0.75,-2.5],{strokeColor:col,fillColor:col}));
p.push(brd.create('point',[1.5,-2.8],{strokeColor:col,fillColor:col}));  
p.push(brd.create('point',[2,-0.5],{strokeColor:col,fillColor:col})); 

var c = brd.create('curve', JXG.Math.Numerics.bspline(p,4), 
               {strokecolor:'blue', strokeOpacity:0.6, strokeWidth:5}); 

var addSegment = function() {
   brd.suspendUpdate();
   p.push(brd.create('point',[Math.random()*8-4,Math.random()*8-4],
           {strokeColor:col,fillColor:col})); 
   brd.unsuspendUpdate();
};

var removeSegment = function() {
   brd.suspendUpdate();

   if (p.length>2) {
       brd.removeObject(p[p.length-1]);  // remove the last point from the list of objects
       p.splice(p.length-1,1);           // remove the last point from the point array.
   }
   brd.unsuspendUpdate();
};