Category Archives: 3D

Stereoscopic Papervision

Cross your eyes to see 3D third image:

move your mouse up and down on the interactive demo… click ->

Posted in 3D | Tagged | 1 Comment

3D Ring

Actionscript:
  1. [SWF(width = 500, height=500)]
  2. var ring:MovieClip = createRing();
  3. ring.x = stage.stageWidth / 2;
  4. ring.y = stage.stageHeight / 2;
  5. addChild(ring);
  6.  
  7. function createRing(sectionNum:int = 30):MovieClip{
  8.     var container:MovieClip = new MovieClip();
  9.     container.circles = [];
  10.     container.theta = 0;
  11.     container.thetaDest = 0;
  12.     var step:Number = (Math.PI * 2) / sectionNum;
  13.     for (var i:int = 0; i<sectionNum; i++){
  14.         var c:MovieClip = new MovieClip();
  15.         with (c.graphics){
  16.             lineStyle(0,0x000000);
  17.             beginFill(0xCCCCCC);
  18.             drawCircle(0,0,20);
  19.         }
  20.         c.thetaOffset = step * i;
  21.         container.addChild(c);
  22.         container.circles.push(c);
  23.     }
  24.     container.addEventListener(Event.ENTER_FRAME, onRun);
  25.     return container;
  26. }
  27. function onRun(evt:Event):void {
  28.     var container:MovieClip = MovieClip(evt.currentTarget);
  29.     var num:int = container.circles.length;
  30.     for (var i:int = 0; i<num; i++){
  31.         var c:MovieClip = container.circles[i];
  32.         var angle:Number = container.theta + c.thetaOffset;
  33.         c.x = 200 * Math.cos(angle);
  34.         c.y = 100 * Math.sin(angle);
  35.         c.scaleX = (100 + c.y) / 120 + 0.2;
  36.         c.scaleY = c.scaleX;
  37.     }
  38.     container.circles.sortOn("y", Array.NUMERIC);
  39.     for (i = 0; i<num; i++){
  40.         container.addChild(container.circles[i]);
  41.     }
  42.     if (container.mouseX <-100){
  43.         container.thetaDest -= 0.05;
  44.     }
  45.     if (container.mouseX> 100){
  46.         container.thetaDest += 0.05;
  47.     }
  48.     container.theta += (container.thetaDest  - container.theta) / 12;
  49.    
  50. }

This snippet shows how to create a 3D ring navigation using sine and cosine. Have a look:

Also posted in Graphics, MovieClip, UI, arrays, motion, sortOn | Tagged , , | 3 Comments

Nonsense Clocks

Actionscript:
  1. [SWF(width = 500, height=500, backgroundColor=0x000000)]
  2.  
  3. var clockNum:int = 100;
  4. var clocks:Vector.<Function> = new Vector.<Function>(clockNum, true);
  5.  
  6. var clockContainer:Sprite = Sprite(addChild(new Sprite()));
  7. clockContainer.x = stage.stageWidth / 2;
  8. clockContainer.y = stage.stageHeight / 2;
  9. buildClocks();
  10. runClocks();
  11.  
  12. function buildClocks():void{
  13.     for (var i:int = 0; i<clockNum; i++){
  14.         var theta:Number = Math.random() * Math.PI * 2;
  15.         var radius:Number = Math.random() * 200;
  16.         var xp:Number = radius * Math.cos(theta);
  17.         var yp:Number = radius * Math.sin(theta);
  18.         clocks[i] = makeClock(xp,yp,Math.random() * Math.PI * 2);
  19.     }
  20. }
  21. function runClocks():void{
  22.     addEventListener(Event.ENTER_FRAME, onRunClocks);
  23. }
  24. function onRunClocks(evt:Event):void{
  25.     for (var i:int = 0; i<clockNum; i++){
  26.         clocks[i]();
  27.     }
  28.     clockContainer.rotationX = clockContainer.mouseY / 30;
  29.     clockContainer.rotationY = -clockContainer.mouseX / 30;
  30. }
  31. function makeClock(x:Number, y:Number, time:Number=0):Function{
  32.     var radius:Number = Math.random() * 20 + 5;
  33.     var border:Number = radius * 0.2;
  34.     var smallRadius:Number = radius - radius * 0.3;
  35.    
  36.     var clock:Sprite = Sprite(clockContainer.addChild(new Sprite()));
  37.     clock.x = x;
  38.     clock.y = y;
  39.     clock.z = 100 - Math.random() * 200;
  40.     clock.rotationX = Math.random() * 40 - 20;
  41.     clock.rotationY = Math.random() * 40 - 20;
  42.     clock.rotationZ = Math.random() * 360;
  43.     return function():void{
  44.         with (clock.graphics){
  45.             clear();
  46.             lineStyle(1,0xFFFFFF);
  47.             drawCircle(0,0,radius + border);
  48.             var xp:Number = smallRadius * Math.cos(time/2);
  49.             var yp:Number = smallRadius * Math.sin(time/2);
  50.             moveTo(0,0);
  51.             lineTo(xp, yp);
  52.             xp = radius * Math.cos(time);
  53.             yp = radius * Math.sin(time);
  54.             moveTo(0,0);
  55.             lineTo(xp, yp);
  56.         }
  57.         time+=0.1;
  58.     }
  59. }


You can go check the swf out at wonderfl.net...

Also posted in Graphics, misc, motion | Tagged , , | 3 Comments

Fp10 3d Logo

Actionscript:
  1. var container:Sprite = new Sprite();
  2. container.x = stage.stageWidth / 2;
  3. container.y = stage.stageHeight / 2;
  4. addChild(container);
  5.  
  6. var redBox:Sprite = new Sprite();
  7. redBox.graphics.beginFill(0xFF0000);
  8. redBox.graphics.drawRect(-50,-250,100,500);
  9. redBox.rotationZ = 10;
  10. container.addChild(redBox);
  11.  
  12. var logos:Array = []
  13. var elements:Array = [];
  14. elements.push({element:redBox, z:0});
  15.  
  16. // add the logos
  17. for (var i:int = 0; i<6; i++){
  18.     var logoContainer:MovieClip = new MovieClip();
  19.     var logoText:TextField = new TextField();
  20.     logoText.defaultTextFormat = new TextFormat("_sans", 50);
  21.     logoText.text = "LOGO";
  22.     logoText.autoSize = "left";
  23.     logoText.selectable= false;
  24.    
  25.     logoText.x = -logoText.width / 2;
  26.     logoText.y = -logoText.height / 2;
  27.     logoContainer.addChild(logoText);
  28.     logoText.backgroundColor = 0xFFFFFF;
  29.    
  30.     container.addChild(logoContainer);
  31.     logos.push(logoContainer);
  32.     elements.push({element:logoContainer, z:0});
  33. }
  34.  
  35. var ang:Number = -Math.PI / 2;
  36. var rotationSpeed:Number = 0.05;
  37. addEventListener(Event.ENTER_FRAME, onLoop);
  38. function onLoop(evt:Event):void {
  39.    
  40.      var dx:Number = (mouseY - stage.stageHeight / 2) / 10;
  41.      var dy:Number = (mouseX - stage.stageWidth / 2) / 10;
  42.      container.rotationX += (dx - container.rotationX) / 4;
  43.      container.rotationY += (dy - container.rotationY) / 4;
  44.      
  45.      ang += rotationSpeed;
  46.      for (var i:int = 0; i<logos.length; i++){
  47.          var logo:Sprite = logos[i];
  48.          logo.x = 150 * Math.cos(ang + i);
  49.          logo.z = 150 * Math.sin(ang + i);
  50.          logo.alpha = 1 - logo.z / 200;
  51.          logo.rotationY = -Math.atan2(logo.z, logo.x)  / Math.PI * 180  - 90;
  52.      }
  53.      
  54.      // z-sort
  55.      for (i = 0; i<elements.length; i++){
  56.           elements[i].z = elements[i].element.transform.getRelativeMatrix3D(this).position.z;
  57.      }
  58.      
  59.     elements.sortOn("z", Array.NUMERIC | Array.DESCENDING);
  60.     for (i = 0; i<elements.length; i++) {
  61.         container.addChild(elements[i].element);
  62.     }
  63. }

A student of mine was having trouble creating a 3D logo for a client. I created this snippet to help explain how some of the fp10 3D stuff works.... z-sorting etc... The code could be optimized a bit... but it works nicely...


Have a look at the swf...

Also posted in misc, motion | Tagged , , , | 2 Comments

QuickBox2D 3D

Actionscript:
  1. import com.actionsnippet.qbox.*;
  2. [SWF(width = 800, height=600, backgroundColor=0x000000, frameRate = 60)]
  3.  
  4. var main:MovieClip = MovieClip(addChild(new MovieClip()));
  5. main.z = 500;
  6. main.rotationX = -40;
  7.  
  8. var sim:QuickBox2D = new QuickBox2D(main);
  9.  
  10. sim.createStageWalls({fillColor:0x1133CC});
  11. sim.setDefault({lineColor:0xFFFFFF, fillColor:0x113355});
  12.  
  13. for (var i:int = 0; i<30; i++){
  14.     var b:QuickObject = sim.addBox({x:Math.random()*10 + 3, y:Math.random()*10 + 3,
  15.                                     width:0.25 + Math.random()*2, height:0.25 + Math.random()*2});
  16. }
  17.  
  18. sim.start();
  19. sim.mouseDrag();

This demo shows how you can render your QuickBox2D simulation to somewhere other than the main timeline. In this case, I render to a MovieClip that has altered z and and rotationX properties.


Have a look at the swf...

Also posted in Box2D, QuickBox2D | Tagged , , , , , | 2 Comments

drawTriangles() Cubes

Actionscript:
  1. private function addCube(xp:Number, yp:Number, zp:Number, w:Number, h:Number, leng:Number):void{
  2.             var hw:Number = w * 0.5;
  3.             var hh:Number = h * 0.5;
  4.             var hl:Number = leng * 0.5;
  5.             var xA:Number = xp - hw;
  6.             var xB:Number = hw + xp;
  7.             var yA:Number = yp - hh;
  8.             var yB:Number = hh + yp;
  9.             var zA:Number = zp - hl;
  10.             var zB:Number = hl + zp;
  11.             _verts.push(xA, yA, zA,
  12.                         xB, yA, zA,
  13.                         xA, yB, zA,
  14.                         xB, yB, zA,
  15.                         xA, yA, zB,
  16.                         xB, yA, zB,
  17.                         xA, yB, zB,
  18.                         xB, yB, zB);
  19.            
  20.             var index:int = _boxIndex * 8;
  21.             var i0:int = index, i1:int = index + 1, i2:int = index + 2;
  22.             var i3:int = index + 3,  i4:int = index + 4, i5:int = index + 5;
  23.             var i6:int = index + 6, i7:int = index + 7;
  24.             _indices.push(i0, i1, i2,
  25.                           i1, i3, i2,
  26.                           i6, i7, i4,
  27.                           i7, i5, i4,
  28.                           i1, i5, i3,
  29.                           i7, i3, i5,
  30.                           i4, i5, i0,
  31.                           i1, i0, i5,
  32.                           i2, i6, i0,
  33.                           i0, i6, i4,
  34.                           i2, i3, i6,
  35.                           i3, i7, i6);
  36.                          
  37.             _faces.push(new Face(), new Face(), new Face(),
  38.                         new Face(),  new Face(), new Face(),
  39.                         new Face(), new Face(), new Face(),
  40.                         new Face(), new Face(), new Face());
  41.             _uvts.push(Math.random(), Math.random(), 0,
  42.                        Math.random(), Math.random(), 0,
  43.                        Math.random(), Math.random(), 0,
  44.                        Math.random(), Math.random(), 0,
  45.                        Math.random(), Math.random(), 0,
  46.                        Math.random(), Math.random(), 0,
  47.                        Math.random(), Math.random(), 0,
  48.                        Math.random(), Math.random(), 0);
  49.             _boxIndex++;
  50.         }

Lately I've been posting large code snippets... so today I'm highlighting part of a larger snippet - The above code is the heart of a small experiment I created this morning. It sets up a cube for use with drawTraingles().

The rest of the code can be read here:
Cubes3D.as

Have a look at the swf here...


I also put it on wonderfl...

Also posted in Graphics, Vector, matrix, motion | Tagged , , | 6 Comments

Distance Spring

Actionscript:
  1. [SWF(backgroundColor=0x222222, width=500, height=500)]
  2. var hsw:Number = stage.stageWidth / 2;
  3. var hsh:Number = stage.stageHeight / 2;
  4. var pointNum:int = 800
  5. var points3D:Vector.<Number> = new Vector.<Number>();
  6. var points3Dout:Vector.<Number> = new Vector.<Number>();
  7. var points2D:Vector.<Number> = new Vector.<Number>();
  8. var uvts:Vector.<Number> = new Vector.<Number>();
  9. var sorted:Array = [];
  10. var pnt:Point = new Point();
  11. var m:Matrix3D = new Matrix3D();
  12. var v:Vector3D = new Vector3D();
  13. for (var i:int = 0; i<pointNum; i++){
  14.     v.y = i * 0.7 - 300
  15.     var t =Math.random()*6.28;
  16.     v.x = 200 * Math.cos(i * 2 * Math.PI / 180);
  17.     v.z = 200 * Math.sin(i * 2 * Math.PI / 180);
  18.     v = m.transformVector(v);
  19.     points3D.push(v.x, v.y, v.z);
  20.     points2D.push(0,0);
  21.     uvts.push(0,0,0);
  22.     sorted.push(new Vector3D());
  23. }
  24. points3D.fixed = true;
  25. points2D.fixed = true;
  26. uvts.fixed = true;
  27. var p:PerspectiveProjection = new PerspectiveProjection();
  28. var proj:Matrix3D = p.toMatrix3D();
  29. var dx:Number = 0, dy:Number = 0;
  30. addEventListener(Event.ENTER_FRAME, onLoop);
  31. function onLoop(evt:Event):void {
  32.     var i:int, j:int;
  33.     dx += (mouseX - dx) / 4;
  34.     dy += (mouseY - dy) / 4;
  35.     m.identity();
  36.     m.appendRotation(getTimer() / 4, Vector3D.Y_AXIS);
  37.     m.transformVectors(points3D, points3Dout);
  38.    
  39.     m.identity();
  40.     m.appendRotation(dx, Vector3D.Z_AXIS);
  41.     m.appendRotation(dy, Vector3D.X_AXIS);
  42.     m.appendTranslation(0, 0, 1000);
  43.     m.append(proj);
  44.     Utils3D.projectVectors(m, points3Dout, points2D, uvts);
  45.     for (i = 0, j = 0; i<points2D.length; i+=2, j++){
  46.         sorted[j].x = points2D[i] + hsw;
  47.         sorted[j].y = points2D[i + 1] + hsh;
  48.         sorted[j].z = uvts[j * 3 + 2];
  49.     }
  50.     sorted.sortOn("z", Array.NUMERIC);
  51.     graphics.clear();
  52.     for(i = 0; i<sorted.length; i++){
  53.         var zpos:Number = sorted[i].z * 10000;
  54.         var c:int = zpos * 14;
  55.         graphics.beginFill(c <<16 | c <<8 | c);
  56.         graphics.drawCircle(sorted[i].x, sorted[i].y, zpos);
  57.         graphics.endFill();
  58.     }
  59. }

A variation on some recent posts... this snippet draws a rotating spring made up of 800 particles...

Have a look at the swf...


Also posted in Graphics, Vector | Tagged , , | 3 Comments

Fake Light w/ UV & Quads

Actionscript:
  1. [SWF(width = 500, height=500, backgroundColor = 0x000000)]
  2. x = stage.stageWidth / 2;
  3. y = stage.stageHeight / 2;
  4. var quadNum:int = 2200;
  5. // standard Vectors for using drawTriangles
  6. var verts:Vector.<Number> = new Vector.<Number>();
  7. var pVerts:Vector.<Number>;
  8. var uvts:Vector.<Number> = new Vector.<Number>();
  9. var indices:Vector.<int> = new Vector.<int>();
  10. // needed for z-sorting
  11. var sortedIndices:Vector.<int>;
  12. var faces:Array = [];
  13. // we'll use this for tranforming points
  14. // and as the transformation matrix for our render
  15. var m:Matrix3D = new Matrix3D();
  16. // plot a quad
  17. var quad:Vector.<Number>;
  18. quad = Vector.<Number>([-10, -10, 0,
  19.                         10, -10, 0,
  20.                         -10, 10, 0,
  21.                         10, 10, 0]);
  22. // temp vect for any transformed quads
  23. var transQuad:Vector.<Number> = new Vector.<Number>();
  24. var i:int;
  25. var inc:int = 0;
  26. for (i = 0; i<quadNum; i++){
  27.     m.identity();
  28.     var s:Number = (int(Math.random()*50) == 1) ? 2 + Math.random()*2 : .1 + Math.random() * 2;
  29.     m.appendScale(s, s, 1);
  30.     m.appendRotation(90, Vector3D.Y_AXIS);
  31.     var mult:Number = 100 + Math.random()*200;
  32.     m.appendTranslation(mult, 0, 0);
  33.     m.appendRotation(Math.random()*360, Vector3D.X_AXIS);
  34.     m.appendRotation(Math.random()*360, Vector3D.Y_AXIS);
  35.     m.appendRotation(Math.random()*360, Vector3D.Z_AXIS);
  36.     m.transformVectors(quad, transQuad);
  37.     verts = verts.concat(transQuad);
  38.     faces.push(new Vector3D());
  39.     faces.push(new Vector3D());
  40.     var i4:int = i * 4;
  41.     indices.push(0 + i4, 1 + i4, 2 + i4,
  42.                  1 + i4, 3 + i4, 2 + i4);
  43.     mult /= 300;
  44.     uvts.push(mult,mult,0,
  45.               mult+.1,mult,0,
  46.               mult,mult - .1,0,
  47.               mult + .1,mult + .1,0);
  48. }
  49. sortedIndices = new Vector.<int>(indices.length, true);
  50. // create texture
  51. var tex:BitmapData = new BitmapData(400,400,false, 0x000000);
  52. var grad:Shape = new Shape();
  53. var mat:Matrix = new Matrix();
  54. mat.createGradientBox(400,400,0,0,0);
  55. with (grad.graphics){
  56.     beginGradientFill(GradientType.LINEAR, [0xFFFFFF,0x002244], [1, 1], [100, 255], mat);
  57.     drawRect(0,0,400,400);
  58. }
  59. tex.draw(grad);
  60. // create background
  61. mat.createGradientBox(1600,1200,0,-550, 0);
  62. with (grad.graphics){
  63.     beginGradientFill(GradientType.RADIAL, [0x000000, 0x001133], [1, 1], [0, 255], mat);
  64.     drawRect(0,0,500,500);
  65. }
  66. grad.x = -stage.stageWidth/2
  67. grad.y = -stage.stageHeight/2;
  68. addChild(grad);
  69. // triangles will be drawn to this
  70. var render:Shape = Shape(addChild(new Shape()));
  71. // fix all vector lengths
  72. verts.fixed = true, uvts.fixed = true, indices.fixed = true
  73. pVerts = new Vector.<Number>(verts.length/3 * 2, true);
  74. // we need these if we want perspective
  75. var persp:PerspectiveProjection = new PerspectiveProjection();
  76. persp.fieldOfView = 45;
  77. // projection matrix
  78. var proj:Matrix3D = persp.toMatrix3D();
  79. var dx:Number = 0, dy:Number = 0;
  80. addEventListener(Event.ENTER_FRAME, onLoop);
  81. function onLoop(evt:Event):void {
  82.     dx += (mouseX - dx) / 4;
  83.     dy += (mouseY - dy) / 4;
  84.     m.identity();
  85.     m.appendRotation(dy, Vector3D.X_AXIS);
  86.     m.appendRotation(dx, Vector3D.Y_AXIS);
  87.     m.appendTranslation(0,0,800);
  88.     m.append(proj);
  89.     Utils3D.projectVectors(m, verts, pVerts, uvts);
  90.     var face:Vector3D;
  91.     inc = 0;
  92.     for (var i:int = 0; i<indices.length; i+=3){
  93.         face = faces[inc];
  94.         face.x = indices[i];
  95.         face.y = indices[int(i + 1)];
  96.         face.z = indices[int(i + 2)];
  97.         var i3:int = i * 3;
  98.         face.w = (uvts[int(face.x*3 + 2)] + uvts[int(face.y*3 + 2)] + uvts[int(face.z*3 + 2)]) * 0.333333;
  99.         inc++;
  100.     }
  101.     faces.sortOn("w", Array.NUMERIC);
  102.     inc = 0;
  103.     for each (face in faces){
  104.         sortedIndices[inc++] = face.x;
  105.         sortedIndices[inc++] = face.y;
  106.         sortedIndices[inc++] = face.z;
  107.     }
  108.     render.graphics.clear();
  109.     render.graphics.beginBitmapFill(tex, null, false, false);
  110.     render.graphics.drawTriangles(pVerts, sortedIndices, uvts, TriangleCulling.NEGATIVE);
  111. }

Expanding again on the z-sorting demos from the last few days - this snippet uses UV coords and a gradient to create something that vaguely resembles a light. Unlike the previous demos, the 3D cluster in this snippet is made up of quads - requiring a slight adjustment to the depth calculation.


Have a look at the swf...

I also posted the code over at wonderfl.net...

Also posted in Graphics, Vector, matrix, misc, sortOn | Tagged , , , | 2 Comments

More z-sorting

Actionscript:
  1. [SWF(width = 500, height=500, backgroundColor = 0x333333)]
  2. x = stage.stageWidth / 2;
  3. y = stage.stageHeight / 2;
  4.  
  5.  
  6. var polyNum:int = 3000;
  7. // standard Vectors for using drawTriangles
  8. var verts:Vector.<Number> = new Vector.<Number>();
  9. var pVerts:Vector.<Number>;
  10. var uvts:Vector.<Number> = new Vector.<Number>();
  11. var indices:Vector.<int> = new Vector.<int>();
  12. // needed for z-sorting
  13. var sortedIndices:Vector.<int>;
  14. var faces:Array = [];
  15.  
  16. // we'll use this for tranforming points
  17. // and as the transormation matrix for our render
  18. var m:Matrix3D = new Matrix3D();
  19.  
  20. // plot a poly
  21. var poly:Vector.<Number>;
  22. poly = Vector.<Number>([ 0, 0, 0,
  23.                         10, 0, 0,
  24.                         0,10, 0]);
  25.  
  26. // temp vect for any transformed polygons
  27. var transPoly:Vector.<Number> = new Vector.<Number>();
  28.  
  29. var i:int;
  30. var inc:int = 0;
  31. for (i = 0; i<polyNum; i++){
  32.     m.identity();
  33.     var s:Number = (int(Math.random()*50) == 1) ? 4 + Math.random()*2 : 1 + Math.random() * 2;
  34.     m.appendScale(s, s, 1);
  35.     m.appendRotation(Math.random()*360, Vector3D.X_AXIS);
  36.     m.appendRotation(Math.random()*360, Vector3D.Y_AXIS);
  37.     m.appendRotation(Math.random()*360, Vector3D.Z_AXIS);
  38.     m.appendTranslation(200,0,0);
  39.                          
  40.     m.appendRotation(Math.random()*360, Vector3D.X_AXIS);
  41.     m.appendRotation(Math.random()*360, Vector3D.Y_AXIS);
  42.     m.appendRotation(Math.random()*360, Vector3D.Z_AXIS);
  43.    
  44.     m.transformVectors(poly, transPoly);
  45.    
  46.     verts = verts.concat(transPoly);
  47.     faces.push(new Vector3D());
  48.     indices.push(inc++, inc++, inc++);
  49.     uvts.push(Math.random(), Math.random(), 0, Math.random(), Math.random(), 0, Math.random(), Math.random(), 0);
  50. }
  51.  
  52. sortedIndices = new Vector.<int>(indices.length, true);
  53.  
  54. // create texture
  55. var tex:BitmapData = new BitmapData(400,400,false, 0x000000);
  56. var grad:Shape = new Shape();
  57. var mat:Matrix = new Matrix();
  58. mat.createGradientBox(400,400,0,0,0);
  59. with (grad.graphics){
  60.     beginGradientFill(GradientType.LINEAR, [0x000000, 0xAA0000, 0xFFFF00], [1, 1, 1], [20, 200, 255], mat);
  61.     drawRect(0,0,400,400);
  62. }
  63. tex.draw(grad);
  64.  
  65. // create background
  66. mat.createGradientBox(1600,1000,0,-550, -100);
  67. with (grad.graphics){
  68.     beginGradientFill(GradientType.RADIAL, [0x333333, 0xffffff], [1, 1], [0, 255], mat);
  69.     drawRect(0,0,500,500);
  70. }
  71. grad.x = -stage.stageWidth/2
  72. grad.y = -stage.stageHeight/2;
  73. addChild(grad);
  74.  
  75. // triangles will be drawn to this
  76. var render:Shape = Shape(addChild(new Shape()));
  77.  
  78. // fix all vector lengths
  79. verts.fixed = true, uvts.fixed = true, indices.fixed = true
  80. pVerts = new Vector.<Number>(verts.length/3 * 2, true);
  81.  
  82. // we need these if we want perspective
  83. var persp:PerspectiveProjection = new PerspectiveProjection();
  84. persp.fieldOfView = 45;
  85. // projection matrix
  86. var proj:Matrix3D = persp.toMatrix3D();
  87.  
  88. var dx:Number = 0, dy:Number = 0;
  89. addEventListener(Event.ENTER_FRAME, onLoop);
  90. function onLoop(evt:Event):void {
  91.     dx += (mouseX - dx) / 4;
  92.     dy += (mouseY - dy) / 4;
  93.     m.identity();
  94.     m.appendRotation(dy, Vector3D.X_AXIS);
  95.     m.appendRotation(dx, Vector3D.Y_AXIS);
  96.     // push everything back so its not to close
  97.     m.appendTranslation(0,0,800);
  98.     // append the projection matrix at the end
  99.     m.append(proj);
  100.    
  101.     Utils3D.projectVectors(m, verts, pVerts, uvts);
  102.    
  103.     var face:Vector3D;
  104.     inc = 0;
  105.     for (var i:int = 0; i<indices.length; i+=3){
  106.         face = faces[inc];
  107.         face.x = indices[i];
  108.         // it may look odd, but casting to an int
  109.         // when doing operations inside array sytnax
  110.         // adds a big speed boost
  111.         face.y = indices[int(i + 1)];
  112.         face.z = indices[int(i + 2)];
  113.         var i3:int = i * 3;
  114.         // get the average z position (t value) and store it in the Vector3D w property
  115.         // depending on your model, you may not need to do an average of all 3 values
  116.         face.w = (uvts[int(i3 + 2)] + uvts[int(i3 + 5)] + uvts[int(i3 + 8)]) * 0.333333;
  117.         inc++;
  118.     }
  119.      
  120.     // sort on w, so far this beats all other sorting methods for speed,
  121.     // faster than Vector.sort(), faster than any custom sort method I could find
  122.     faces.sortOn("w", Array.NUMERIC);
  123.  
  124.     // re-order indices so that faces are drawn in the correct order (back to front);
  125.     inc = 0;
  126.     for each (face in faces){
  127.         sortedIndices[inc++] = face.x;
  128.         sortedIndices[inc++] = face.y;
  129.         sortedIndices[inc++] = face.z;
  130.     }
  131.    
  132.     render.graphics.clear();
  133.     render.graphics.beginBitmapFill(tex, null, false, false);
  134.     render.graphics.drawTriangles(pVerts, sortedIndices, uvts, TriangleCulling.NONE);
  135. }

This is a slightly more advanced version of the z-sorting demo from yesterday. Here 3000 polygons are randomly arranged in a sphere formation...


Have a look at the swf...

Also posted in Graphics, Vector, matrix, misc | Tagged , , , , | 6 Comments

drawTriangles() & z-sorting

Actionscript:
  1. [SWF(width = 500, height=500, backgroundColor = 0x000000)]
  2. x = stage.stageWidth / 2;
  3. y = stage.stageHeight / 2;
  4.  
  5. // standard Vectors for using drawTriangles and projectVectors
  6. var verts:Vector.<Number> = new Vector.<Number>();
  7. var pVerts:Vector.<Number>;
  8. var uvts:Vector.<Number>;
  9. var indices:Vector.<int>;
  10. // needed for z-sorting
  11. var sortedIndices:Vector.<int>;
  12. var faces:Array = [];
  13.  
  14. // we'll use this for transforming points
  15. // and as the transformation matrix for our render
  16. var m:Matrix3D = new Matrix3D();
  17.  
  18. // plot a poly
  19. var poly:Vector.<Number>;
  20. poly = Vector.<Number>([ 0, 0, 0,
  21.                         10, 0, 0,
  22.                         0,10, 0]);
  23.  
  24. verts = verts.concat(poly);
  25. faces.push(new Vector3D());
  26.  
  27. // add two more polygons by transorming the poly Vector
  28. // and concatenating it to the verts Vector
  29. // Vector3D instances are added to the faces
  30. // Array for z-sorting
  31.  
  32. // temp vect for any transformed polygons
  33. var transPoly:Vector.<Number> = new Vector.<Number>();
  34.  
  35. m.appendRotation(10, Vector3D.Z_AXIS);
  36. m.appendTranslation(0,-2,5);
  37. m.transformVectors(poly, transPoly);
  38.  
  39. verts = verts.concat(transPoly);
  40. faces.push(new Vector3D());
  41.  
  42. m.appendRotation(10, Vector3D.Z_AXIS);
  43. m.appendTranslation(0,-2,5);
  44. m.transformVectors(poly, transPoly);
  45. verts = verts.concat(transPoly);
  46. faces.push(new Vector3D());
  47.  
  48. // hard coded indices
  49. indices = Vector.<int>([0, 1, 2, 3, 4, 5, 6, 7, 8]);
  50. sortedIndices = new Vector.<int>(indices.length, true);
  51.  
  52. // create texture
  53. var tex:BitmapData = new BitmapData(100,100,false, 0x000000);
  54. tex.fillRect(new Rectangle(0,0,50,50), 0xFF0000);
  55. tex.fillRect(new Rectangle(50,0,50,50), 0x0000FF);
  56. tex.fillRect(new Rectangle(0,50,50,50), 0x00FF00);
  57.  
  58. // hard coded uvts
  59. uvts = Vector.<Number>([0,0,0, .5,0,0, 0,.5,0,
  60.                         .53, 0, 0, 1, 0, 0, .53, .5, 0,
  61.                          0,.6,.5, 0,.6,0, 0,1, 0]);
  62.                        
  63. // fix all vector lengths
  64. verts.fixed = true, uvts.fixed = true, indices.fixed = true
  65. pVerts = new Vector.<Number>(verts.length/3 * 2, true);
  66.  
  67. // we need these if we want perspective
  68. var persp:PerspectiveProjection = new PerspectiveProjection();
  69. // projection matrix
  70. var proj:Matrix3D = persp.toMatrix3D();
  71.  
  72. addEventListener(Event.ENTER_FRAME, onLoop);
  73. function onLoop(evt:Event):void {
  74.     m.identity();
  75.     m.appendRotation(mouseY * 2, Vector3D.X_AXIS);
  76.     m.appendRotation(mouseX * 2, Vector3D.Y_AXIS);
  77.     // push everything back so its not too close
  78.     m.appendTranslation(0,0,40);
  79.     // append the projection matrix at the end
  80.     m.append(proj);
  81.    
  82.     Utils3D.projectVectors(m, verts, pVerts, uvts);
  83.    
  84.     var face:Vector3D;
  85.     var inc:int = 0;
  86.     for (var i:int = 0; i<indices.length; i+=3){
  87.         face = faces[inc];
  88.         face.x = indices[i];
  89.         // it may look odd, but casting to an int
  90.         // when doing operations inside array sytnax
  91.         // adds a big speed boost
  92.         face.y = indices[int(i + 1)];
  93.         face.z = indices[int(i + 2)];
  94.         var i3:int = i * 3;
  95.         // get the average z position (t value) and store it in the Vector3D w property
  96.         // depending on your model, you may not need to do an average of all 3 values
  97.                 // (t is the distance from the eye to the texture)
  98.         face.w = (uvts[int(i3 + 2)] + uvts[int(i3 + 5)] + uvts[int(i3 + 8)]) * 0.333333;
  99.         inc++;
  100.     }
  101.    
  102.     // sort on w, so far this beats all other sorting methods for speed,
  103.     // faster than Vector.sort(), faster than any custom sort method I could find
  104.     faces.sortOn("w", Array.NUMERIC);
  105.    
  106.     // re-order indices so that faces are drawn in the correct order (back to front);
  107.     inc = 0;
  108.     for each (face in faces){
  109.         sortedIndices[inc++] = face.x;
  110.         sortedIndices[inc++] = face.y;
  111.         sortedIndices[inc++] = face.z;
  112.     }
  113.    
  114.     graphics.clear();
  115.     graphics.beginBitmapFill(tex, null, false, false);
  116.     graphics.drawTriangles(pVerts, sortedIndices, uvts, TriangleCulling.NONE);
  117. }

So you want to be able to do some z-sorting with drawTriangles()? Well, its extremely unintuitive. Here is what you need to know:

1) Vector.sort() is slow
2) Array.sortOn() is quite fast
3) I couldn't get any custom sorting method to be faster than Array.sortOn
4) You can use the t value from uvts to do z-sorting (like in this demo)
5) If your going for speed, don't forget to use fixed Vectors (I often forget this step)
6) When working with Vectors cast any operations inside brackets to int() (my tests showed this is a huge speed boost up to 3x faster - franky I think it's horrible that you have to do this).

The swf is not very interesting because I wanted to keep it super simple, but here it is anyway...


Questions

I was told and have read that drawTriangles is slower than using drawGraphicsData and a GraphicsTrianglePath instance. I tested this extensively and found that drawGraphicsData was slower. I'm still not sure which is faster but am up for checking out any simple benchmarks that people have.

drawTriangles is supposed to be faster without adding t values to the uvts Vector. In my benchmark tests there was no real difference in speed. The t value is used to render more accurate textures - which would mean you could potentially use less triangles in your models. One would assume that not using a t value would be faster... but I couldn't confirm this. Again if someone has a good benchmark for this, please let me know.

Help

I had a great deal of help from a few people on Twitter, Katopz (Away3D contributor) of sleepydesign.com made me aware of the fact that Array.sortOn is the way to go... You can see some great demos over at Katopz's blog. While I didn't end up using a custom sorting method, Inspirit
pointed me to his article about custom Vector sorting methods which proved to be very enlightening. I was able to get some really great results for doing different types of sorting - just sorting 1D Vectors with FlashSort can be very fast (faster than Array.sortOn - but not helpful for sorting a 1D Vector of indices).

I also learned a good deal by looking at this code post by Psyark... I actually optimized that code to run about 2x faster (will post that on wonderfl.net at some point, it just needs to be cleaned up).

kevinSuttle sent me a link to The video

Also posted in Graphics, Vector, matrix | Tagged , , , , | 3 Comments