Plane3D
Dragging Spheres
package { import flash.events.Event; import flash.events.MouseEvent; import org.papervision3d.core.geom.renderables.Vertex3D; import org.papervision3d.core.math.Number3D; import org.papervision3d.core.math.Plane3D; import org.papervision3d.events.InteractiveScene3DEvent; import org.papervision3d.lights.PointLight3D; import org.papervision3d.materials.shadematerials.FlatShadeMaterial; import org.papervision3d.objects.primitives.Sphere; import org.papervision3d.view.BasicView; [SWF(width="640", height="480", backgroundColor="#000000", frameRate="60")] public class DraggingASphere extends BasicView { private const NUM_SPHERES:int = 11; private var planeToDragOn:Plane3D; private var currentSphere:Sphere; private var light:PointLight3D; public function DraggingASphere() { viewport.interactive = true; camera.y = 400; light = new PointLight3D(true); scene.addChild(light); for(var i:int = 0; i < NUM_SPHERES; i++) { var material:FlatShadeMaterial = new FlatShadeMaterial(light, 0xeeeeee, 0x2d2d2d, 10); material.interactive = true; var sphere:Sphere = new Sphere(material); sphere.x = (i - NUM_SPHERES/2) * 200; scene.addChild(sphere); sphere.addEventListener(InteractiveScene3DEvent.OBJECT_PRESS, objectPressHandler); stage.addEventListener(MouseEvent.MOUSE_UP, mouseUpHandler); } var up:Number3D = new Number3D(0, 1, 0); planeToDragOn = new Plane3D(up, new Number3D(0,0,0)); startRendering(); } private function objectPressHandler(event:InteractiveScene3DEvent):void { currentSphere = event.displayObject3D as Sphere; } private function mouseUpHandler(event:MouseEvent):void { currentSphere = null; } override protected function onRenderTick(event:Event=null):void { var ray:Number3D = camera.unproject(viewport.containerSprite.mouseX, viewport.containerSprite.mouseY); ray = Number3D.add(ray, camera.position); var cameraVertex3D:Vertex3D = new Vertex3D(camera.x, camera.y, camera.z); var rayVertex3D:Vertex3D = new Vertex3D(ray.x, ray.y, ray.z); var intersectPoint:Vertex3D = planeToDragOn.getIntersectionLine(cameraVertex3D, rayVertex3D); if(currentSphere) { currentSphere.x = intersectPoint.x; currentSphere.y = intersectPoint.y; currentSphere.z = intersectPoint.z; } light.x = intersectPoint.x; light.y = intersectPoint.y + 100; light.z = intersectPoint.z; renderer.renderScene(scene, camera, viewport); } } }
Plane3D intersect point
A Plane3D (known commonly as a “Plane” in geometry) is an infinite flat surface. In this example, the Plane3D spans across the x-axis and the z-axis (like a floor) represented by this Number3D:
private const XZPLANE:Number3D = new Number3D(0, 1, 0);
The second number (1), means the Plane3D rotates around the Y-axis. You can think of it like the “1″ is the direction the Plane3D is facing, in this case, “up”. To face toward you, you would set 0, 0, 1. So the Plane3D would point to the monitor (like a wall). To face left to right, you would set 1, 0, 0 (like an alley?).
In this example, the camera is moved up slightly to have more of a bird’s eye view of the Plane3D. You won’t see it at first, but after you click around for awhile, you’ll start to notice where the Plane3D exists.
package { import flash.events.Event; import flash.events.KeyboardEvent; import flash.events.MouseEvent; import flash.ui.Keyboard; import org.papervision3d.core.geom.renderables.Vertex3D; import org.papervision3d.core.math.Number3D; import org.papervision3d.core.math.Plane3D; import org.papervision3d.objects.DisplayObject3D; import org.papervision3d.objects.primitives.Cylinder; import org.papervision3d.scenes.Scene3D; import org.papervision3d.view.BasicView; import org.papervision3d.view.stats.StatsView; [SWF(width="640", height="480", backgroundColor="#000000", frameRate="60")] public class Plane3DExample extends BasicView { private const XZPLANE:Number3D = new Number3D(0, 1, 0); private var plane3D:Plane3D = new Plane3D(XZPLANE, Number3D.ZERO); private var isRotating:Boolean = false; public function Plane3DExample() { camera.y = 200; startRendering(); stage.addEventListener(MouseEvent.CLICK, clickHandler); stage.addEventListener(KeyboardEvent.KEY_DOWN, keyDownHandler); } private function keyDownHandler(event:KeyboardEvent):void { //toggle rotating if(event.keyCode == Keyboard.CONTROL) { isRotating = (isRotating == false) ? true : false; } //rebuild scene if(event.keyCode == Keyboard.SHIFT) { scene = new Scene3D(); } } private function clickHandler(event:MouseEvent):void { var ray:Number3D = camera.unproject(viewport.containerSprite.mouseX, viewport.containerSprite.mouseY); ray = Number3D.add(ray, camera.position); var cameraVertex3D:Vertex3D = new Vertex3D(camera.x, camera.y, camera.z); var rayVertex3D:Vertex3D = new Vertex3D(ray.x, ray.y, ray.z); var intersectPoint:Vertex3D = plane3D.getIntersectionLine(cameraVertex3D, rayVertex3D); var cylinder:Cylinder = new Cylinder(null, 10, 100, 1, 1); cylinder.x = intersectPoint.x; cylinder.y = intersectPoint.y; cylinder.z = intersectPoint.z; //the closer to the center, the larger the tower cylinder.scale = 1000 / cylinder.distanceTo(new DisplayObject3D()); //readjust y based on scale (half height times scale) cylinder.y += 50 * cylinder.scale; scene.addChild(cylinder); } override protected function onRenderTick(event:Event=null):void { if(isRotating) { camera.moveForward(1000); camera.yaw(.5); camera.moveBackward(1000); } renderer.renderScene(scene, camera, viewport); } } }
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