Utils3D.projectVectors() Lathe

Actionscript:
  1. [SWF(width = 500, height = 500, backgroundColor = 0x000000)]
  2. var halfWidth:Number = stage.stageWidth / 2;
  3. var halfHeight:Number = stage.stageHeight / 2;
  4. var loc:Vector.<Number>;
  5.  
  6. graphics.lineStyle(0, 0xFF0000);
  7. graphics.moveTo(halfWidth, 0);
  8. graphics.lineTo(halfWidth, stage.stageHeight);
  9. graphics.moveTo(0, halfHeight);
  10. graphics.lineTo(stage.stageWidth, halfHeight);
  11.  
  12. var line:Shape = Shape(addChild(new Shape()));
  13. line.x = halfWidth;
  14.  
  15. var idle:Function = function(){};
  16. var currentMode:Function = idle;
  17. stage.addEventListener(MouseEvent.MOUSE_DOWN, onDown);
  18. stage.addEventListener(MouseEvent.MOUSE_UP, onUp);
  19. addEventListener(Event.ENTER_FRAME, onLoop);
  20. function onDown(evt:MouseEvent):void{
  21.     if (contains(frame)){
  22.         removeChild(frame);
  23.         currentMode = idle;
  24.         line.graphics.clear();
  25.         return;
  26.     }
  27.     loc = new Vector.<Number>();
  28.     line.graphics.lineStyle(0,0xFFFFFF);
  29.     line.x = halfWidth
  30.     line.y = halfHeight;
  31.     line.graphics.moveTo(line.mouseX, line.mouseY);
  32.     currentMode = captureLocs;
  33.     canvas.fillRect(canvas.rect, 0x000000);
  34. }
  35. function onUp(evt:MouseEvent):void{
  36.     if (currentMode == idle) return;
  37.     setupLathe();
  38.     currentMode = showLathe;
  39. }
  40.  
  41. function onLoop(evt:Event):void{
  42.     currentMode();
  43. }
  44. function captureLocs():void{
  45.     loc.push(line.mouseX);
  46.     loc.push(line.mouseY);
  47.     loc.push(0);
  48.     line.graphics.lineTo(line.mouseX, line.mouseY);
  49. }
  50. /**
  51.  -- Lathe Stuff:
  52. */
  53. var canvas:BitmapData = new BitmapData(stage.stageWidth, stage.stageHeight,false, 0x000000);
  54. var frame:Bitmap = new Bitmap(canvas);
  55. var dx:Number=0;
  56. var dy:Number=0;
  57.  var matrix:Matrix3D = new Matrix3D();
  58. var pVerts:Vector.<Number>;
  59. var uvts:Vector.<Number>;
  60. function setupLathe():void{
  61.     addChild(frame);
  62.     pVerts =  new Vector.<Number>();
  63.     uvts = new Vector.<Number>();
  64.     var nVerts:Vector.<Number> = new Vector.<Number>();
  65.     var tVerts:Vector.<Number> = new Vector.<Number>();
  66.     matrix.identity();
  67.     var step:Number = 2;
  68.     for (var i:int = 0; i <360; i+=step){
  69.         matrix.appendRotation(step,Vector3D.Y_AXIS);
  70.         matrix.transformVectors(loc, tVerts);
  71.         nVerts = nVerts.concat(tVerts);
  72.     }
  73.     loc = nVerts.concat();
  74. }
  75. function showLathe():void{
  76.     dx += (mouseX - dx)/4;
  77.     dy += (mouseY - dy)/4;
  78.     matrix.identity();
  79.     matrix.appendRotation(dy,Vector3D.X_AXIS);
  80.     matrix.appendRotation(dx,Vector3D.Y_AXIS);
  81.     matrix.appendTranslation(halfWidth, halfHeight, 0);
  82.     Utils3D.projectVectors(matrix, loc, pVerts, uvts);
  83.     canvas.lock();
  84.     canvas.fillRect(canvas.rect, 0x000000);
  85.     var leng:int = pVerts.length;
  86.     for (var i:int = 0; i<leng; i+=2){
  87.         canvas.setPixel( pVerts[i], pVerts[i + 1], 0xFFFFFF);
  88.     }
  89.     canvas.unlock();
  90. }

This snippet allows you to create 3D lathe shapes by drawing a 2D line. This is done using Utils3D.projectVectors() and Matrix.transformVectors().

Have a look at the swf here...

This entry was posted in 3D, BitmapData, Math, Vector, graphics algorithms, matrix, setPixel and tagged , , . Bookmark the permalink. Post a comment or leave a trackback: Trackback URL.

3 Comments

  1. Mick Jack
    Posted July 6, 2009 at 2:10 pm | Permalink

    Nice one!
    :)

  2. Posted July 7, 2009 at 6:28 am | Permalink

    Pretty ::)

  3. Posted July 16, 2010 at 3:56 pm | Permalink

    Waow ! This is incredible !
    The code looks very simple but the results are just amazing.
    Thanks a lot !

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