In the same spirit as the First steps in Papervision3D series of articles, I’m documenting my own progress in learning about this 3D engine for Flash. I hope as well that this provides a useful tutorial for others getting started with Away3D. I guess what I’m trying to say is that this is by no means a definitive guide to Away3D! This is my first day as well so if you find mistakes or have suggestions then please let me know!

Before starting I’d like to post a couple of links to a series of articles that I found very interesting and useful for beginners learning the basics of 3D programming. The first one one, Flash 3D Basics, provides a very good overview of the important elements for any 3D development. The second one is aimed directly at Away3D, but is relevant also to Papervision3D, and discusses the two main classes for any Away3D flash movie: The View and The Scene. You’ll see both of these being used below. Anyway, I’d really recommend taking a look at them.

For this post I’m really starting at the very beginning. My aim is simply to draw 3D shapes on the screen, exactly as I did for First steps in Papervision3D : Part 1. For this I’m assuming that you are using Flex Builder 3, or the Flex Builder 3 plugin for eclipse, as I am. I’m also assuming that you have Away3D built and ready to link to. My previous article on downloading and installing Away3D in eclipse might help if this isn’t the case.

For those of you who are new to using Flex Builder 3, we need to first of all create a new project and then set it’s build path to that of the Away3D source.

In eclipse (or Flex Builder 3), from the File menu, select New and then ActionScript project. You’ll see a New ActionScript Project window appear.

Type in a project name (for example I named it Tartiflop) and click on Finish. We then need to configure the project to use either the Away3D.swf library that I showed how to create before, or we link directly to the Away3D source. I prefer the second method simply because it gives me a more convenient access to the library source by navigating within eclipse. To do this, select the new project and right-click. Select Properties from the drop-down menu. Select the ActionScript Build Path on the left.

Select the Library path tab and click on Add Project….

Select the Away3D Flex Library project and click on OK. You’ll see that the library has now been added into the list of build path libraries.

We’re now ready to start creating our first Away3D flash movie! You’ll notice that the new project wizard of eclipse has automatically created an ActionScript class called Tartiflop.as. We don’t need this so you can delete it. For this post the class is called Example001.as so you’ll need to create a new ActionScript. Right-click on src in the Tartiflop project in the Flex Navigator tree. Select New and then ActionScript Class. Name the new class Example001 and click Finish.

The following code draws a sphere and three lines showing the x, y and z axes. Cut and paste the code below (we’ll go into the details of how it works later), save and it should hopefully compile without any errors!

package {   import away3d.cameras.Camera3D;   import away3d.containers.Scene3D;   import away3d.containers.View3D;   import away3d.core.base.Vertex;   import away3d.materials.WireColorMaterial;   import away3d.materials.WireframeMaterial;   import away3d.primitives.LineSegment;   import away3d.primitives.Sphere;     import flash.display.Sprite;   import flash.display.StageAlign;   import flash.display.StageScaleMode;   import flash.events.Event;     [SWF(backgroundColor="#000000")]     public class Example001 extends Sprite {     private var scene:Scene3D;     private var camera:Camera3D;     private var view:View3D;         public function Example001() {             // set up the stage       stage.align = StageAlign.TOP_LEFT;       stage.scaleMode = StageScaleMode.NO_SCALE;             // Initialise Papervision3D       init3D();             // Create the 3D objects       createScene();             // Initialise Event loop       this.addEventListener(Event.ENTER_FRAME, loop);        }     private function init3D():void {       // Create a new scene where all the 3D object will be rendered       scene = new Scene3D();             // Create a new camera, passing some initialisation parameters       camera = new Camera3D({zoom:20, focus:30, x:-100, y:-100, z:-500});             // Create a new view that encapsulates the scene and the camera       view = new View3D({scene:scene, camera:camera});       // center the viewport to the middle of the stage       view.x = stage.stageWidth / 2;       view.y = stage.stageHeight / 2;       addChild(view);     }     private function createScene():void {       // First object : a sphere             // Create a new material for the sphere : simple white wireframe       var sphereMaterial:WireColorMaterial = new WireColorMaterial(0x000000, {wirecolor:0xFFFFFF});       // Create a new sphere object using wireframe material, radius 50 with       // 10 horizontal and vertical segments       var sphere:Sphere = new Sphere({material:sphereMaterial, radius:50, segmentsW:10, segmentsH:10});       // Position the sphere (default = [0, 0, 0])       sphere.x = -100;       scene.addChild(sphere);         // Second object : x-, y- and z-axis         // Create a origin vertex       var origin:Vertex = new Vertex(0, 0, 0);       // Create the red-coloured x-axis with a width of 2       var xAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0xFF0000, {width:2})});       xAxis.start = origin;       xAxis.end = new Vertex(100, 0, 0);       scene.addChild(xAxis);           // Create the green-coloured y-axis with a width of 2       var yAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0x00FF00, {width:2})});       yAxis.start = origin;       yAxis.end = new Vertex(0, 100, 0);       scene.addChild(yAxis);           // Create the blue-coloured z-axis with a width of 2       var zAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0x0000FF, {width:2})});       zAxis.start = origin;       zAxis.end = new Vertex(0, 0, 100);       scene.addChild(zAxis);       }         private function loop(event:Event):void {       // Render the 3D scene       view.render();     }   } }

To see the final result, right-click again on the Tartiflop project and select Run As and Flex Application. What you should see is the following: click on the image below to see the real flash movie (its not much more interesting than the image though!).

Let’s go into more detail with the code. I’m taking a look at this with the point of view of someone who has been using Papervision3D and its interesting to look at the similarities and differences between the two libraries. If you compare the code to the equivalent in Papervision3D, you can see that the codes resemble a lot.

The constructor of Example001 is identical to that of the equivalent example in Paperivision3D: the stage parameters are set so that the scene is scaled correctly, the 3D elements are initialised, the scene is created and then we add a frame-enter event listener.

Example001 inherits from the Sprite class as is indeed possible with Papervision3D. Papervision3D however provides a BasicView class where the scene, camera, view and renderer are all encapsulated (see part 2 of the Papervision3D series for example). Also the stage scaling is automatically encapsulated in the BasicView class.

    public function Example001() {             // set up the stage       stage.align = StageAlign.TOP_LEFT;       stage.scaleMode = StageScaleMode.NO_SCALE;             // Initialise Papervision3D       init3D();             // Create the 3D objects       createScene();             // Initialise Event loop       this.addEventListener(Event.ENTER_FRAME, loop);        }

However, as we can see, its not very complicated to initialise all the 3D elements individually - as we do in the init3D() function.

    private function init3D():void {       // Create a new scene where all the 3D object will be rendered       scene = new Scene3D();             // Create a new camera, passing some initialisation parameters       camera = new Camera3D({zoom:20, focus:30, x:-100, y:-100, z:-500});             // Create a new view that encapsulates the scene and the camera       view = new View3D({scene:scene, camera:camera});       // center the viewport to the middle of the stage       view.x = stage.stageWidth / 2;       view.y = stage.stageHeight / 2;       addChild(view);     }

We first of all create a Scene3D object which is used later to contain all of our rendered 3D elements. Secondly we create a Camera3D which sets up all our viewing parameters and finally we create a View3D object which provides us with our window through which we observe the scene.

Interesting to note is the way we can create Away3D objects. Unlike Papervsion3D which has well defined constructors taking specific arguments, Away3D allows us to pass an array of initialisation parameters. One good point is that this makes the code more concise, however, personally, I feel that it is less intuitive: with Papervision3D I felt I could determine relatively quickly what was needed to construct an object but here you need to search more within a class to obtain useful information. Having said that I have to admit that I haven’t yet looked at the Away3D documentation! I’m someone who is too excited to get his hands dirty before reading the manual!

With respect to the camera, unlike Papervision3D it is not possible to modify the field of view (or fov) directly and instead we need to manipulate the zoom and focus of the camera (see my post on the relationship between all three and also this really good article explaining the Away3D camera). Having an OpenGL background I find the field of view more intuitive however this is just a personal opinion.

After the 3D base elements have been created we can move on to creating the scene. This, as is fairly obvious, is done in the createScene() function.

    private function createScene():void {       // First object : a sphere             // Create a new material for the sphere : simple white wireframe       var sphereMaterial:WireColorMaterial = new WireColorMaterial(0x000000, {wirecolor:0xFFFFFF});       // Create a new sphere object using wireframe material, radius 50 with       // 10 horizontal and vertical segments       var sphere:Sphere = new Sphere({material:sphereMaterial, radius:50, segmentsW:10, segmentsH:10});       // Position the sphere (default = [0, 0, 0])       sphere.x = -100;       scene.addChild(sphere);         // Second object : x-, y- and z-axis         // Create a origin vertex       var origin:Vertex = new Vertex(0, 0, 0);       // Create the red-coloured x-axis with a width of 2       var xAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0xFF0000, {width:2})});       xAxis.start = origin;       xAxis.end = new Vertex(100, 0, 0);       scene.addChild(xAxis);           // Create the green-coloured y-axis with a width of 2       var yAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0x00FF00, {width:2})});       yAxis.start = origin;       yAxis.end = new Vertex(0, 100, 0);       scene.addChild(yAxis);           // Create the blue-coloured z-axis with a width of 2       var zAxis:LineSegment = new LineSegment({material:new WireframeMaterial(0x0000FF, {width:2})});       zAxis.start = origin;       zAxis.end = new Vertex(0, 0, 100);       scene.addChild(zAxis);       }

The scene is very simple: no lighting and just two stationary types of objects. As with Papervision3D, most objects provide only the vertices of a given shape: the rendering (what we see on the screen) is done through the material.

In this example we use two types of materials for two different types of shapes. This is different to Papervision3D where any material seems to be usable with any object. Here, the two shapes belong to two different families: an AbstractPrimitive and an AbstractWirePrimitive. Each one uses a material also belonging to a different family: an ITriangleMaterial and an ISegmentMaterial respectively. If we give the wrong type of material to a particular primitive then it is not rendered.

The two shapes used are a Sphere (an AbstractPrimitive) and a LineSegment (an AbstractWirePrimitive). We therefore give them two different types of materials. In this example I’ve used a WireColorMaterial and a WireframeMaterial respectively. The WireColorMaterial is created with a face color (black in this case) and a wire color is passed in the list of initialisation arguments (being white). The wireframe material is simply white but I’ve passed a width of 2 in the initialisation parameters.

The sphere is created first, taking a list of initialisation parameters including the sphere material. It should be noted that these parameters can be set afterwards, not necessarily in the constructor. I then create 3 lines for each axis, each one with a different color wireframe material. The lines are then given two vertices to define their start and end positions. Each 3D object is added to the scene so that they are rendered.

As a first impression of Away3D, I actually find that the construction of these primitive objects is more concise than for Papervision3D. Looking through the source directory of Away3D I also get the impression that there is more choice of primitives compared to Papervision3D.

Finally for this example, a small function is used to render the scene. We added in the constructor a frame-enter event listener called loop.

    private function loop(event:Event):void {       // Render the 3D scene       view.render();     }

Very simply, we call the function render of view to redraw the scene. This is another difference to Papervision3D: Papervision3D has a specific Renderer class used to draw the scene.

And that’s it! A very simple example of rendering a 3D scene in Away3D. Compared to Papervision3D, for something this simple, there really isn’t a huge difference. Overall I feel that Away3D is more concise but maybe loses degree of simplicity using the parameters array rather than having explicit constructor arguments… but that’s just a personal point of view though.

One surprise is the difference in file sizes between Papervision3D and Away3D. In Away3D the flash animation come to 136KB whereas in Papervision3D its at only 82KB. Okay, so neither are huge and maybe Away3D is a bigger library… but I’m interested to see how this compares for more complex examples.

Anyway, that’s it for this example. For me too its a first step - I just wanted to see what the Away3D library was like and how easy it was to convert from a Papervision3D source to an Away3D one. I hope to continue along the same theme to produce more complex examples over the coming weeks. As always, comments and suggestions as are always welcome so please don’t hesitate!

Next article:

Away3D can be installed either from the latest releases on the Away3D downloads page or from the SVN repository located on the googlecode site.

I’ve chosen the second method so that I can easily and regularly update the source to be up to date with the latest fixes and enhancements. I’m using the same technique that I showed downloading and compiling Papervision3D using SVN in eclipse. Since I use eclipse as my development environment (with the Flex Builder 3 plugin), I like to keep all my sources together in the same environment and the SVN plugin for eclipse works very well.

In eclipse select Import… from the File menu. You’ll see the following window appear.

Under the SVN item, select Projects from SVN and click Next. You’ll then be requested to enter details for the SVN repository.

For the URL enter http://away3d.googlecode.com/svn. Leave the user details empty - we’ll use anonymous access to obtain the source. Click Next to continue. Eclipse will examine the SVN repository and show the repository structure.

We’ll download everything from the trunk (which includes the source, docs and examples), so select trunk and click on Finish. You’ll then be asked how you want to check out the source.

We want to create a Flex Library project so select Check out as a project configured using the New Project Wizard.

Under Flex Builder, choose Flex Library Project and click Next.

Enter Away3D as the Project name (or any other name you’d like…) then select Next to configure the source directory.

Click next to src under Classes to include in the library. The Main source folder should show src, and the Output folder should show bin. Sometimes selecting the source folder here doesn’t always work and we’ll have to explicitly give the source folder again after the project has been created, as shown below.

You should now see in the Flex Navigator in eclipse a new project called Away3D with the latest revision number next to it. If you have the error nothing was specified to be included in the library shown in the Problems view, then you need to re-specify the source directory as I mentioned above. Simply right-click on the Away3D project and select Properties.

Under Flex Library Build Path, once again click next to src in the Classes to include in library box. After clicking OK you should see that eclipse is compiling the sources.

The final result is the Away3D.swc Flex library, located in the bin directory, that can be used with other Away3D projects that you create afterwards. Similarly, with eclipse, you can compile Away3D projects by linking directly to this project. Personally I prefer the second method simply because it makes developing and debugging easier as you can directly look at the source for a particular Away3D class.

Hope this is of some use. I’ll be taking a look, as I did with Papervision3D, at producing a few simple examples just to get a feel of the library… more soon I hope!


Discover Foals!

So, big pause since my last post… unfortunately sometimes real-world work gets the better of us and consumes most of our time! Not good… so time to get back into the swing of more interesting things!

I’m going to take a little break from Papervision3D for a while and check out another library - Away3D. Its not that I’m turning my back on pv3d but since its not the only 3D motor out there for flash I thought I’d see what its like to work with… I’m simply curious!

Finding recent comparisons between different 3D motors is not so obvious. Here’s one from Mr.Doob dating from July 2007 for example but since both Away3D and Papervision3D have advanced enormously over the last 12 months its difficult to know if its still valid.

However, I did come across this blog by Vincent Helwig which is work in progress but aims to compare Alterniva3D, Papervision3D, Away3D and Sandy3D. Each one is briefly presented and simple examples for all four are given. The impression I get from this is that Sandy3D is lagging behind the others in terms of being actively developed (no easy task of course), Alternativa3D is not open source which leaves (speaking personally) Papervision3D and Away3D as the two main players.

What’s interesting to note as well is that Flash Player 10 includes some 3D capabilities (z-sorting for example is not included) which for some circumstances greatly improves performance (see this comparison between Away3D and FP10 for example). These new embedded capabilities will surely be integrated by both pv3d and Away3D over the coming months - interesting times ahead for sure!

In my post First steps in Papervision3D : Part 4 - lighting and shading, I mentioned that the materials provided by Papervision3D do not allow us to include ambient, diffuse and specular lighting all together at the same time. The two principal shaded materials provided by Papervision3D are

  • GouraudMaterial: includes ambient and diffuse lighting
  • PhongMaterial: includes ambient and specular lighting

The Phong reflection model however is a combination of all three and allows us to model surfaces that have both a rough (diffusive) characteristic and a shiny (specular) one. This is particularly good, for example, in modeling plastic-type materials.

Even though there is not a specific material for which we can specify ambient, diffuse and specular lighting all together, using the viewport layers interface of Papervision3D we can create different lighting effects on an object and combine them together on the screen.

In theory, diffusive lighting is added to a scene in a multiplicative fashion. The resulting colour seen on the screen is the product of the colour of the material and the quantity of the diffused light. For example we can have a material that is blue (0×0000FF) with a diffusive light pattern that varies from bright white (0xFFFFFF) to grey (ambient) (0×222222). The resulting colours seen on the screen therefore vary from bright blue (0×0000FF) to dark blue (0×000022).

Specular light is added to the scene in an additive way: light is reflected off an object towards an observer thereby brightening the object. Therefore even parts of a black material can be seen with specular light.

Phong reflection is the combination of these two lighting techniques: a material darkened with a diffusive and abient light and enhanced by a specular one.

The demo shown here tries to implement these characteristics. Using ViewportLayers a surface is rendered three times: once with a simple material colour, once with a diffuse light pattern (using a GouraudMaterial to create both diffusive and ambient effects) and finally with a specular one (using a modified PhongMaterial for which the ambient light is turned off, hence producing only specular light).

Each layer is added to the scene with a different BlendMode: MULTIPLY for the diffusive light pattern and ADD for the specular one. The order of each layers is important hence the coloured material is rendered first, followed by the diffusive light and finally the specular light added to the end.

You can take a look at the demo by clicking on the image below. To rotate the scene click and move the mouse. Clicking on the surface separates it into the different components for five seconds so you can see what each individual layer looks like.

Surface showing phong reflection

You can take a look at the source at http://www.tartiflop.com/pv3d/PhongReflection/srcview/.


Discover Interpol!

Previous articles summary :

Back again for another article in the First Steps series… its been a while since the last one mainly because I’ve moved from Blogger to Wordpress and that’s been quite a hassle. But, hopefully, now that its up and running it won’t be so long before the next one… fingers crossed!

In this article (which again is probably going to be quite a long one) I’m looking at how to import 3D objects that have been created using specialised applications such as 3DS Max, Maya, Blender and Google Sketchup to name a few.

To improve the exchange of digital assets between these different applications, various file formats exists that allow 3D objects from one application to be used in another. One particular format that is readable by Papervision3D, is the Collaborative Design Activity format or COLLADA which saves the information of a 3D scene as XML.

The Collada format specifications are maintained by the Khronos Group and embedded within the file are details on geometry, shaders and effects, physics, animation and kinematics. The specifications are supported by a number of companies including 3DS Max, Maya and Blender. The files themselves have the .dae extension, standing for Digital Asset Exchange.

Papervision3D contains a extensive package to parse and import Collada files yet has a simple interface making it easy to use complex 3D models created in specialised applications. Worth noting are a couple of sites that contain Collada files created by different communities that can be downloaded and used fairly freely. These are

  • 3DVIA that has a large collection of models in a number of different formats, including Collada, supported by a community of 3D artists
  • The test model bank at Khronos which has a limited number of models available to the public

As I’ve mentioned from the beginning of this series, these posts represent also what I’ve learned over the last few weeks and are by no means expert tutorials. I’ve therefore made use of a number of sites in understanding how to import objects into Papervision3D and I’m sure you’ll find useful information on them as well.

  • Mikes blog has a number of links and source code on how to create Collada objects.
  • Modern Carpentry shows how to instantiate a DAE object.
  • Papervision2 has a very good tutorial on creating Collada objects that I’d really recommend… especially since the cow Collada object comes from them :)
  • Emmanuel Bonnet also has a nice little demo with source for a Collada object.

Since there are a number of points to look at I decided it was best to split this post into two parts. In the first part of this post I’ll illustrate a selection of different ways of importing objects into Papervision3D based on the above examples and also from exploring the source code of Paperivison3D itself. In the second part I’m going to look at how to add interactivity and shading with Collada objects. I’ll also present some problems that exist with shading in the current version of Papervision3D - well, it is beta after all!

Lets have a look at the source for the first example. Here, my objective is simply to import 3D objects into a scene using a number of different sources. These include

  • An embedded Collada file and bitmap
  • A URL for an external Collada
  • An animated Collada object from an external URL
  • A Google Earth object file, exported from Google Sketchup

The last one is making use of a special class within Papervision3D dedicated to file with the .kmz file extension (Google Earth). These files are actually .zip files that contain texture maps and Collada data.

Papervision3D also has (as far as I can tell) two main ways of importing Collada data: one is using the Collada class, the other is using the DAE class, both of which are in the org.papervision3d.objects.parsers package. Again, as far as I can tell, the DAE class appears to be more mature making extensive use of the org.ascollada package and I’ve had more success over the last few days using this rather than the Collada class.

So here’s the source code, importing four objects using different sources and different importing methods.

package {     import flash.events.Event;   import flash.events.MouseEvent;     import org.papervision3d.events.FileLoadEvent;   import org.papervision3d.lights.PointLight3D;   import org.papervision3d.materials.BitmapMaterial;   import org.papervision3d.materials.MovieMaterial;   import org.papervision3d.materials.utils.MaterialsList;   import org.papervision3d.objects.DisplayObject3D;   import org.papervision3d.objects.parsers.Collada;   import org.papervision3d.objects.parsers.DAE;   import org.papervision3d.objects.parsers.KMZ;   import org.papervision3d.view.BasicView;   public class Example009a extends BasicView {       [Embed(source="/../assets/cow.dae", mimeType="application/octet-stream")] private var CowDAE:Class;     [Embed(source="/../assets/Cow.png")] private var CowBitmapImage:Class;     private var light:PointLight3D;     private var doRotation:Boolean = false;     private var lastMouseX:int;     private var lastMouseY:int;     private var cameraPitch:Number = 60;     private var cameraYaw:Number = -60;             public function Example009a() {       super(0, 0, true, true);             // Initialise Papervision3D       init3D();             // Create the 3D objects       createScene();       // Listen to mouse up and down events on the stage       stage.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);       stage.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);       // Start rendering the scene       startRendering();     }         private function init3D():void {       // position the camera       camera.z = -700;       camera.fov = 60;       camera.orbit(cameraPitch, cameraYaw);     }         private function createScene():void {       // create new Collada from URL, using original materials and scaled to 50%       var cow:Collada = new Collada("http://www.tartiflop.com/pv3d/FirstSteps/collada/cow.dae", null, 0.5);       cow.moveDown(100);       cow.moveBackward(200);       cow.yaw(90);       scene.addChild(cow);       // create a texture mapped material from embedded png       var cowMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);             // add the texture map to a material list corresponding to the material symbols in the dae       var cowMaterials:MaterialsList = new MaterialsList();       cowMaterials.addMaterial(cowMaterial, "mat0");       // create a new Collada, specifying the materials we want to use       var cow2:Collada = new Collada(new XML(new CowDAE()), cowMaterials);       cow2.moveRight(300);       cow2.moveDown(100);       scene.addChild(cow2);           // create a new DAE that is animated and perform actions once it is loaded       var seymour:DAE = new DAE(true);       seymour.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         seymour.scale = 20;         seymour.moveForward(200);         seymour.moveDown(100);         scene.addChild(seymour);       });             // load the DAE from a specific URL       seymour.load("http://www.tartiflop.com/pv3d/FirstSteps/collada/Seymour.dae");             // create a new 3D object from a 3D google earth object file and perform actions when loaded       var kmz:KMZ = new KMZ();       kmz.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         kmz.scale = 20;         kmz.moveLeft(300);         kmz.moveDown(100);         scene.addChild(kmz);       });             // load kmz from a specific URL       kmz.load("http://www.tartiflop.com/pv3d/FirstSteps/collada/thing.kmz");           }     override protected function onRenderTick(event:Event=null):void {       // update camera position       updateCamera();           // call the renderer       super.onRenderTick(event);     }         private function updateCamera():void {             // If the mouse button has been clicked then update the camera position            if (doRotation) {                 // convert the change in mouse position into a change in camera angle         var dPitch:Number = (mouseY - lastMouseY) / 2;         var dYaw:Number = (mouseX - lastMouseX) / 2;                 // update the camera angles         cameraPitch -= dPitch;         cameraYaw -= dYaw;         // limit the pitch of the camera         if (cameraPitch <= 0) {           cameraPitch = 0.1;         } else if (cameraPitch >= 180) {           cameraPitch = 179.9;         }               // reset the last mouse position         lastMouseX = mouseX;         lastMouseY = mouseY;                 // reposition the camera         camera.orbit(cameraPitch, cameraYaw);       }           }     // called when mouse down on stage     private function onMouseDown(event:MouseEvent):void {       doRotation = true;       lastMouseX = event.stageX;       lastMouseY = event.stageY;     }     // called when mouse up on stage     private function onMouseUp(event:MouseEvent):void {       doRotation = false;     }       } }

This produces the following flash animation (click on the image below). Note that it can take some time for the models to be loaded into flash, but in the end you should see four models including two cows, an animated Space Boy (coming from the public directory of the Collada test model bank at Khronos) and a rather crappy thing I made in Google Sketchup! You can rotate the scene by clicking and moving the mouse at the same time.

So, lets take a closer look at the code… As with other examples I’m using the same standard BasicView derived class - the main difference from previous ones coming in the createScene function.

The first cow object is created by obtaining all the data for the Collada object from an external URL. Contained in the .dae file is information on the texture maps so we don’t need to specify anything other than the location of the Collada file itself to create a fully rendered object.

      // create new Collada from URL, using original materials and scaled to 50%       var cow:Collada = new Collada("http://www.tartiflop.com/pv3d/FirstSteps/collada/cow.dae", null, 0.5);       cow.moveDown(100);       cow.moveBackward(200);       cow.yaw(90);       scene.addChild(cow);

Here I’m using the Collada class which provides a very simple interface to import Collada data. The first argument is of course the location of the .dae file (you can just as easily use a file on the local file system). The second argument is to specify a different material for the object: in this case I’ll use the file referenced by the Collada file itself. The third parameter relates to the scaling: in this case 50%. The resulting object is then translated, rotated and added to the scene.

We can similarly import Collada data by embedding the data in the Flash animation (as we’ve seen in previous examples in this series). We have to, however, embed both the Collada data and the texture map data for it to be correctly rendered. You’ll find the embedded files at the beginning of the class definition.

    [Embed(source="/../assets/cow.dae", mimeType="application/octet-stream")] private var CowDAE:Class;     [Embed(source="/../assets/Cow.png")] private var CowBitmapImage:Class;

The .dae file format is not recognised by Flash which is why we need to explicitly give the mimeType. As you’ll see below we can use the DAE data directly as an XML document. The Collada object is then created as follows.

      // create a texture mapped material from embedded png       var cowMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);             // add the texture map to a material list corresponding to the material symbols in the dae       var cowMaterials:MaterialsList = new MaterialsList();       cowMaterials.addMaterial(cowMaterial, "mat0");       // create a new Collada, specifying the materials we want to use       var cow2:Collada = new Collada(new XML(new CowDAE()), cowMaterials);       cow2.moveRight(300);       cow2.moveDown(100);       scene.addChild(cow2);

We specifically create a material for the 3D object: I’m using a MovieMaterial which in this case is created with a simple bitmap image. Since a Collada object can have a number of different textured materials we need to provide it with a MaterialList. The names associated with the materials have to relate to details within the Collada file… after some investigation I found that the material was referenced by the name mat0. The Collada object is then created by passing data encapsulated in an XML format and this time specifying the material list used in association with the data. As with the first object, we then translate it and add it to the scene.

The third object is an animated Collada object. This time I’m using the DAE class which has more success in importing the data. The interface remains very similar to the Collada class however we need to specifically load the data.

      // create a new DAE that is animated and perform actions once it is loaded       var seymour:DAE = new DAE(true);       seymour.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         seymour.scale = 20;         seymour.moveForward(200);         seymour.moveDown(100);         scene.addChild(seymour);       });             // load the DAE from a specific URL       seymour.load("http://www.tartiflop.com/pv3d/FirstSteps/collada/Seymour.dae");

The first argument to the DAE constructor specifies whether we want the DAE to be animated or not: in this case we do. We then add a listener which is triggered when the data is fully loaded. This allows us to add it to the scene and modify its size and position when we are sure that the data is coherent. The data is loaded by specifying a URL to the Collada file.

Finally to show how to import data from a different source, I’ve included an example that I made using Google Sketchup and exported as a Google Earth object (.kmz file extension). And yes, I know, its not very pretty…

      // create a new 3D object from a 3D google earth object file and perform actions when loaded       var kmz:KMZ = new KMZ();       kmz.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         kmz.scale = 20;         kmz.moveLeft(300);         kmz.moveDown(100);         scene.addChild(kmz);       });             // load kmz from a specific URL       kmz.load("http://www.tartiflop.com/pv3d/FirstSteps/collada/thing.kmz");

Papervision3D provides us with a class KMZ specifically to import this type of data. In fact, embedded in this file is a .dae Collada file (and the class has a reference to a DAE object as well) so the import mechanism remains the same… it is however another handy tool. As you can see we use the same technique as with the DAE import.

So, there we are: four different methods of importing Collada data. Now for the more advanced part of this post: adding shading to the objects.

In principal this should follow from the previous post on texture mapping with lighting where a ShadedMaterial is used to skin an object (as we did above with cow2 when we specified a list of materials for the DAE). However, at the time of writing this article, this is not working correctly: the main problem being black lines appearing on face edges. As you can see from the list of bugs at the home of Papervision3D, an issue has been raised explaining the problem. You can also see on the Papervision3D mailing list that this is a recurring problem (here and here for example).

This said, all is not lost! Thanks to those talented people involved in the Papervision3D project, specifically in this case to Andy Zupko, a work-around does exist! Also, I’d like to give a thanks to the Papervision3D newsgroup because the list is very active and you can find a lot of very good information on it… like this fix.

So, here’s the second example source code for this post. Here I’m showing the two different methods for rendering a shaded Collada object: the first (not fully working in the current release of Papervision3D) using a ShadedMaterial and the second using Andy’s work-around which involves blending two identical models: one with a simple shaded material, the other with a texture-mapped material.

package {     import flash.display.BlendMode;   import flash.events.Event;   import flash.events.MouseEvent;   import flash.text.TextField;   import flash.text.TextFieldAutoSize;   import flash.text.TextFormat;   import flash.utils.getTimer;     import org.papervision3d.events.FileLoadEvent;   import org.papervision3d.events.InteractiveScene3DEvent;   import org.papervision3d.lights.PointLight3D;   import org.papervision3d.materials.BitmapMaterial;   import org.papervision3d.materials.MovieMaterial;   import org.papervision3d.materials.shadematerials.GouraudMaterial;   import org.papervision3d.materials.shaders.GouraudShader;   import org.papervision3d.materials.shaders.ShadedMaterial;   import org.papervision3d.materials.utils.MaterialsList;   import org.papervision3d.objects.DisplayObject3D;   import org.papervision3d.objects.parsers.DAE;   import org.papervision3d.view.BasicView;   public class Example009b extends BasicView {       [Embed(source="/../assets/cow.dae", mimeType="application/octet-stream")] private var CowDAE:Class;     [Embed(source="/../assets/Cow.png")] private var CowBitmapImage:Class;     private var light:PointLight3D;         private var shadedMaterialCow:DAE;     private var gouraudCow:DAE;     private var texturedCow:DAE;     private var allCows:DisplayObject3D;         private var doRotation:Boolean = false;     private var lastMouseX:int;     private var lastMouseY:int;     private var cameraPitch:Number = 60;     private var cameraYaw:Number = -60;           private var fpsText:TextField;     private var textFormat:TextFormat;       private var frames:Number = 0;     private var lastTimeMS:Number = 0;       private var doSimple:Boolean = false;       public function Example009b() {       super(0, 0, true, true);             // Initialise Papervision3D       init3D();             // Create the 3D objects       createScene();       // create the frame rate counter label       createFPSLabel();       // Listen to mouse up and down events on the stage       stage.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);       stage.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);       // Start rendering the scene       startRendering();     }         private function init3D():void {       // position the camera       camera.z = -500;       camera.fov = 60;       camera.orbit(cameraPitch, cameraYaw);     }         private function createFPSLabel():void {       // create text and format to display current fps       textFormat = new TextFormat();       textFormat.size = 20;       textFormat.font = "Arial";             fpsText = new TextField();       fpsText.x = 50;       fpsText.y = 50;       fpsText.textColor = 0xFFFFFF;       fpsText.text = "";       fpsText.setTextFormat(textFormat);       fpsText.autoSize = TextFieldAutoSize.LEFT;             stage.addChild(fpsText);     }     private function createScene():void {       // Specify a point light source and its location       light = new PointLight3D(true);       light.x = 500;       light.y = 300;       light.z = -500;       scene.addChild(light);       // create a display object to group all created cows       allCows = new DisplayObject3D();       scene.addChild(allCows);       // create a cow with a shaded material       createSimpleShadedDAE();             // create a shaded cow by blending two different rendered objects       createNiceShadedDAE();     }     private function createSimpleShadedDAE():void {       // create BitmapMaterial from texture map       var cowBitmapMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);         // create a ShadedMaterial using a Gouraud shader       var shader:GouraudShader = new GouraudShader(light, 0xFFFFFF, 0x333333);       var shadedMaterial:ShadedMaterial = new ShadedMaterial(cowBitmapMaterial, shader);       shadedMaterial.interactive = true;             // Material list linked to material symbol name in dae       var mainMaterials:MaterialsList = new MaterialsList();       mainMaterials.addMaterial(shadedMaterial, "mat0");       // create a new dae and perform actions when loaded       shadedMaterialCow = new DAE(false);       shadedMaterialCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         shadedMaterialCow.moveDown(100);         shadedMaterialCow.scale = 100;                 // add cow to scene when loaded         allCows.addChild(shadedMaterialCow);                 // recursively add event listeners to dae and all children         addEventListeners(shadedMaterialCow, InteractiveScene3DEvent.OBJECT_CLICK, toggleRendering);       });             // load the dae from the embedded structure and replace the materials       shadedMaterialCow.load(new XML(new CowDAE()), mainMaterials);     }         private function createNiceShadedDAE():void {       // create a simple texture mapped material for the embedded png       var cowBitmapMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);       cowBitmapMaterial.interactive = true;             // add the material to a material list corresponding to the dae       var bitmapMaterials:MaterialsList = new MaterialsList();       bitmapMaterials.addMaterial(cowBitmapMaterial, "mat0");       // create a new dae and perform actions when loaded       texturedCow = new DAE(false);       texturedCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         texturedCow.moveDown(100);         texturedCow.scale = 100;         // set the dae to initially not be visible         texturedCow.visible = false;                 // add to the scene         allCows.addChild(texturedCow);                 // listen to events (applies to all children of dae as well)         addEventListeners(texturedCow, InteractiveScene3DEvent.OBJECT_CLICK, toggleRendering);               });       // load the dae from the embedded structure and replace the materials       texturedCow.load(new XML(new CowDAE()), bitmapMaterials);       // create a simple Gouraud shaded material and add to list corresponding to dae       var gouraudMaterial:GouraudMaterial = new GouraudMaterial(light, 0xFFFFFF, 0x333333);       var shadedMaterials:MaterialsList = new MaterialsList();       shadedMaterials.addMaterial(gouraudMaterial, "mat0");       // create a new dae and perform actions when loaded       gouraudCow = new DAE(false);       gouraudCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         gouraudCow.scale = 100;         gouraudCow.moveDown(100);         // set the dae to initially not be visible         gouraudCow.visible = false;           // add to the scene         allCows.addChild(gouraudCow);         // change the rendering so that it is blended with other rendered objects         viewport.getChildLayer(gouraudCow).blendMode = BlendMode.MULTIPLY;        });             // load the dae from the embedded structure and replace the materials       gouraudCow.load(new XML(new CowDAE()), shadedMaterials);     }     // used to ensure that all children in a dae listen to events     private function addEventListeners(displayObject:DisplayObject3D, eventType:String, listener:Function):void {       // add listener to DisplayObect       displayObject.addEventListener(eventType, listener);             // add listener to all contained childred       for each(var child:DisplayObject3D in displayObject.children) {         addEventListeners(child, eventType, listener);       }     }         // toggles between the two rendering techniques     private function toggleRendering(event:InteractiveScene3DEvent):void {       texturedCow.visible = !texturedCow.visible;       gouraudCow.visible = !gouraudCow.visible;       shadedMaterialCow.visible = !shadedMaterialCow.visible;     }     override protected function onRenderTick(event:Event=null):void {             // rotate the scene       allCows.yaw(-1);             // calculate the frame rate       calculateFrameRate();       // update the camera position       updateCamera();           // call the renderer       super.onRenderTick(event);     }         private function calculateFrameRate():void {       // calculate the time elapsed since the last calculation            var currentTimeMS:Number = getTimer();       var elapsedTimeMS:Number = currentTimeMS - lastTimeMS;       // if a second has elapsed then calculate the fps       if (elapsedTimeMS >= 1000) {         fpsText.text = frames.toString() + " fps";         fpsText.setTextFormat(textFormat);                 // reset the counter         lastTimeMS = currentTimeMS;         frames = 0;             } else {         // increment the counter         frames++;       }           }         private function updateCamera():void {             // If the mouse button has been clicked then update the camera position            if (doRotation) {                 // convert the change in mouse position into a change in camera angle         var dPitch:Number = (mouseY - lastMouseY) / 2;         var dYaw:Number = (mouseX - lastMouseX) / 2;                 // update the camera angles         cameraPitch -= dPitch;         cameraYaw -= dYaw;         // limit the pitch of the camera         if (cameraPitch <= 0) {           cameraPitch = 0.1;         } else if (cameraPitch >= 180) {           cameraPitch = 179.9;         }               // reset the last mouse position         lastMouseX = mouseX;         lastMouseY = mouseY;                 // reposition the camera         camera.orbit(cameraPitch, cameraYaw);       }           }     // called when mouse down on stage     private function onMouseDown(event:MouseEvent):void {       doRotation = true;       lastMouseX = event.stageX;       lastMouseY = event.stageY;     }     // called when mouse up on stage     private function onMouseUp(event:MouseEvent):void {       doRotation = false;     }       } }

The resulting Flash animation can be seen below by clicking on the image. You can rotate the scene by clicking and moving the mouse. You can also switch between the two rendering techniques by clicking on the cow. To show that there is not a huge difference in performance between the two techniques, a frame-rate meter is shown in the top-left hand corner.

So again, lets take a closer look at the code. Starting with the ShadedMaterial version that produces the problems. This is created in the createSimpleShadedDAE function.

    private function createSimpleShadedDAE():void {       // create BitmapMaterial from texture map       var cowBitmapMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);         // create a ShadedMaterial using a Gouraud shader       var shader:GouraudShader = new GouraudShader(light, 0xFFFFFF, 0x333333);       var shadedMaterial:ShadedMaterial = new ShadedMaterial(cowBitmapMaterial, shader);       shadedMaterial.interactive = true;             // Material list linked to material symbol name in dae       var mainMaterials:MaterialsList = new MaterialsList();       mainMaterials.addMaterial(shadedMaterial, "mat0");       // create a new dae and perform actions when loaded       shadedMaterialCow = new DAE(false);       shadedMaterialCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         shadedMaterialCow.moveDown(100);         shadedMaterialCow.scale = 100;                 // add cow to scene when loaded         allCows.addChild(shadedMaterialCow);                 // recursively add event listeners to dae and all children         addEventListeners(shadedMaterialCow, InteractiveScene3DEvent.OBJECT_CLICK, toggleRendering);       });             // load the dae from the embedded structure and replace the materials       shadedMaterialCow.load(new XML(new CowDAE()), mainMaterials);     }

As we’ve seen in previous posts, to create a shaded bitmap material we combine a BitmapMaterial with a Shader. Here we use the embedded bitmap data of the texture map combined with a simple Gouraud shader. These are combined in a ShadedMaterial which is then added to the material list as we did above for the first part of this post. I’m using a DAE object to load the Collada data which is then combined with material data.

What you’ll notice however is that the interactivity is added in a different manner from previous posts. For Collada objects we need to add the event listener to all of the children of the DAE as well as the DAE itself - see this post on the Papervision3D newsgroup for details. To perform this, I’ve added (as mentioned in the post) a small routine to recursively add the listener to all children.

    // used to ensure that all children in a dae listen to events     private function addEventListeners(displayObject:DisplayObject3D, eventType:String, listener:Function):void {       // add listener to DisplayObect       displayObject.addEventListener(eventType, listener);             // add listener to all contained childred       for each(var child:DisplayObject3D in displayObject.children) {         addEventListeners(child, eventType, listener);       }     }

So, as you can see from the Flash animation, this method doesn’t work - yet! So, now for the fix provided by Andy Zupko. You’ll find his original post on shadow casting very interesting. The idea is that we take advantage of the Flash architecture to blend 2D objects together. To do this we render the DAE twice: once with a texture map but no shading and another time with no texture map and simple shading. Each render produces a 2D image (what is seen on the screen). These images can be superimposed and blended so that the resulting image is a shaded texture map.

The overhead of drawing the same 3D object twice seems to be fairly small (as you can see from the fps counter in the demo). This is not really surprising since the ShadedMaterial method also does two passes: each triangle is initially rendered with a texture map and then again with a shader.

Lets look at the code in createNiceShadedDAE

    private function createNiceShadedDAE():void {       // create a simple texture mapped material for the embedded png       var cowBitmapMaterial:BitmapMaterial = new MovieMaterial(new CowBitmapImage(), true);       cowBitmapMaterial.interactive = true;             // add the material to a material list corresponding to the dae       var bitmapMaterials:MaterialsList = new MaterialsList();       bitmapMaterials.addMaterial(cowBitmapMaterial, "mat0");       // create a new dae and perform actions when loaded       texturedCow = new DAE(false);       texturedCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         texturedCow.moveDown(100);         texturedCow.scale = 100;         // set the dae to initially not be visible         texturedCow.visible = false;                 // add to the scene         allCows.addChild(texturedCow);                 // listen to events (applies to all children of dae as well)         addEventListeners(texturedCow, InteractiveScene3DEvent.OBJECT_CLICK, toggleRendering);               });       // load the dae from the embedded structure and replace the materials       texturedCow.load(new XML(new CowDAE()), bitmapMaterials);       // create a simple Gouraud shaded material and add to list corresponding to dae       var gouraudMaterial:GouraudMaterial = new GouraudMaterial(light, 0xFFFFFF, 0x333333);       var shadedMaterials:MaterialsList = new MaterialsList();       shadedMaterials.addMaterial(gouraudMaterial, "mat0");       // create a new dae and perform actions when loaded       gouraudCow = new DAE(false);       gouraudCow.addEventListener(FileLoadEvent.LOAD_COMPLETE, function onLoad(event:Event):void {         gouraudCow.scale = 100;         gouraudCow.moveDown(100);         // set the dae to initially not be visible         gouraudCow.visible = false;           // add to the scene         allCows.addChild(gouraudCow);         // change the rendering so that it is blended with other rendered objects         viewport.getChildLayer(gouraudCow).blendMode = BlendMode.MULTIPLY;        });             // load the dae from the embedded structure and replace the materials       gouraudCow.load(new XML(new CowDAE()), shadedMaterials);     }

As you can see two DAEs are created: one as before with the embedded texture map data and another using a Gouraud shaded material. They are both initially set with visible = false. This means that they are not visible on screen and no rendering of them occurs. The Papervision3D event listeners are added to the first one (recursively for all DAE children too).

To ensure that the two are blended we just need to add the line viewport.getChildLayer(gouraudCow).blendMode = BlendMode.MULTIPLY to the Gouraud shaded DAE. The layer contains the 2D end result (or Sprite) of the render process for the DisplayObject3D (as it is seen on the screen) so by specifying BlendMode.MULTIPLY we are directly modifying the Flash characteristics of the Sprite. As you can see from the example this works very well which little, or no, change to the fps. As a little bit of further reading, I’d recommend another post by Andy Zupko where he gives more details on what can be achieved by modifying the layer characteristics and how this can create some greate effects.

Finally just to illustrate how the two models are switched, lets have a look at the event handler

    // toggles between the two rendering techniques     private function toggleRendering(event:InteractiveScene3DEvent):void {       texturedCow.visible = !texturedCow.visible;       gouraudCow.visible = !gouraudCow.visible;       shadedMaterialCow.visible = !shadedMaterialCow.visible;     }

Very simply, we set the different DAE models to visible = true or visible = false depending on which rendering technique we want to use. This is a very efficient way of adding and removing objects from a scene.

So just before ending this post, a couple of points about this technique. Firstly, this works fine for simple Gouraud, Flat, Cell or Phong shading, however how can bump mapping be included? Bump mapping requires a ShadedMaterial (see Part 7) but as we’ve seen this type of material doesn’t fully work yet for Collada objects. Secondly, if the Collada object is animated there needs to be synchronisation between the two rendered models: each frame has to be matched identically but the animation starts as soon as the model is loaded and each model can load in a different time. How can this synchronisation be achieved?

If you have comments or suggestions on these last couple of points, or indeed on any part of this post, then please don’t hesitate to add to the discussion below - I’d be very happy to hear of solutions and experiences!

So, after a few problems with my old blogger account I’ve finally moved to this new address : blog.tartiflop.com!

Its not been as straight-forward as I was hoping for so sorry for the delay since my last First Steps post… but promise, the next one shouldn’t be too far away! Thanks for all the encouragement I’ve been getting over the last few weeks… its been a real surprise and I’m really happy that people have found these posts useful…

Anyway, hope there’s no problems with the change in address… but of course there’s been quite a bit of work necessary to get all the links altered correctly so if you do find anything wrong just drop me a line.

As I mentioned before, the next First Steps post should be along soon… see you hopefully before the end of the month!


Discover PJ Harvey!

Previous articles summary :

This article continues investigating the wide range of materials available in Papervision3D and probably represents the last one of this theme. Whereas the previous examples tried to improve the realism of a 3D scene, this article takes a look at the more dynamic materials available with Papervision3D.

First, apologies for the length of this entry : actually, the more you look at what is available in Papervision3D the more you realise how much it offers! The aim here is to look at MovieMaterials. These offer the ability of having interactive and dynamic surfaces on 3D objects either with Flash movies or Flash video streams. Summarizing this to a few lines probably wouldn’t do it justice so I’ve tried to illustrate here some of the more exciting features offered… and even in doing so am probably still missing a lot!

Anyway, this article introduces two new kinds of materials: MovieMaterial and VideoStreamMaterial (which inherits from the former).

The MovieMaterial allows us to create a material using a pre-existing Flash movie (embedded in a Papervision3D movie) or simply from any MovieClip / Sprite inheriting class instance. Papervision3D provides mapping functions that allow us to interact with these Flash movies with mouse clicks and movements even in a 3D environment.

The VideoStreamMaterial, as its name implies, allows us to stream flash video streams (flv files) onto a 3D object.

The example shown in this article includes these three possibilities including: a flash video stream from a given URL, an embedded standard (non-3D) Flash movie and an example showing a Papervision3D scene being animated as a material in another Papervision3D scene… did I mention before that this article might be quite long?!

So, what we essentially have here are three Actionscript classes: the main 3D scene, a non-3D Sprite-inheriting class and another, secondary Papervision3D scene. I’m only going to discuss the first one here but I’ll include the source for the others at the end.

The main source code is shown below. The example shows the three movie materials projected onto a specific face of three projectors (Cube instances), all rotating about the y-axis. The projectors can be double-clicked to enlarge them, stop them from rotating and provide a more simple means of interacting with them. Double-clicking again puts them back with the others. The whole scene can be rotated by clicking on the background and moving the mouse. The code, as warned, is a little longer than hoped for, but we’ll look at each part in more details afterwards and really there’s nothing very complicated there. I’m using the Tweener library again to provide smoother visual effects (see Part 3 - animation - for more details).

package {     import caurina.transitions.Tweener;     import flash.display.MovieClip;   import flash.events.Event;   import flash.events.MouseEvent;   import flash.media.Video;   import flash.net.NetConnection;   import flash.net.NetStream;     import org.papervision3d.core.proto.MaterialObject3D;   import org.papervision3d.events.InteractiveScene3DEvent;   import org.papervision3d.lights.PointLight3D;   import org.papervision3d.materials.MovieMaterial;   import org.papervision3d.materials.VideoStreamMaterial;   import org.papervision3d.materials.shadematerials.FlatShadeMaterial;   import org.papervision3d.materials.utils.MaterialsList;   import org.papervision3d.objects.DisplayObject3D;   import org.papervision3d.objects.primitives.Cube;   import org.papervision3d.view.BasicView;   [SWF(backgroundColor="#222222")]   public class Example008 extends BasicView {       private static const ORBITAL_RADIUS:Number = 400;     [Embed(source="/../assets/DrawTool.swf")]     private var DrawTool:Class;     private var exampleMovie:MovieClip;     private var videoURL:String = "http://www.tartiflop.com/pv3d/FirstSteps/Radiohead_HOC.flv";     private var video:Video;     private var stream:NetStream;     private var connection:NetConnection;     private var objectGroup:DisplayObject3D;     private var light:PointLight3D;     private var currentActiveObject:DisplayObject3D = null;         private var projectors:Array = new Array();         private var doRotation:Boolean = false;     private var canRotate:Boolean = true;     private var lastMouseX:int;     private var lastMouseY:int;     private var cameraPitch:Number = 60;     private var cameraYaw:Number = -60;         public function Example008() {       super(0, 0, true, true);       // Initialise Papervision3D       init3D();       // create video stream for VideoStreamMaterial       createVideoStream();       // create the 3D Objects       createScene();       // Listen to mouse up and down events on the stage       stage.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);       stage.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);       // Start rendering the scene       startRendering();     }         private function init3D():void {       // position the camera       camera.z = -1000;       camera.fov = 60;       camera.orbit(cameraPitch, cameraYaw);     }     private function createVideoStream():void {       // Create a NetConnection. 2-way connection not necessary: connect to null       connection = new NetConnection();       connection.connect(null);       // Create a new NetStream to obtain the flv stream. Ignore client messages so use a simple Object       stream = new NetStream(connection);       stream.client = new Object();             // create a new video player       video = new Video();             // start streaming the video from the given URL and play it on the video player       stream.play(videoURL);       video.attachNetStream(stream);     }     private function createScene():void {       // Specify a point light source and its location       light = new PointLight3D();       light.x = 400;       light.y = 1000;       light.z = -400;       // Create a 3D object to group the projectors       objectGroup = new DisplayObject3D();       // Create a new video stream material with precise rendering.       var videoMaterial:VideoStreamMaterial = new VideoStreamMaterial(video, stream, true);       addProjector(videoMaterial);                 // Create a new flash movie material from an actionscript class (not transparent, animated and precise rendering)       var movieMaterial1:MovieMaterial = new MovieMaterial(new Example006b(), false, true, true);       addProjector(movieMaterial1);       // Create a new flash movie material from an embedded flash movie (not transparent, animated and precise rendering)       var movieMaterial2:MovieMaterial = new MovieMaterial(new DrawTool(), false, true, true);       addProjector(movieMaterial2);           // add the object group and light       scene.addChild(objectGroup);       scene.addChild(light);       // set up the projector positions in the scene       organiseProjectors();     }         private function addProjector(material:MovieMaterial):void {       // materials are smooth rendred, interactive and resize to the 3D object.       material.smooth = true;       material.interactive = true;       material.allowAutoResize = true;       // simple flat shaded material as default for the projector       var flatShadedMaterial:MaterialObject3D = new FlatShadeMaterial(light, 0x554D33, 0x1A120C);       flatShadedMaterial.interactive = true;             // Material list with MovieMaterial used on the front, the rest being flat shaded       var materialList:MaterialsList = new MaterialsList({"all":flatShadedMaterial, "front":material});       // create a new interactive projector       var projector:Cube = new Cube(materialList, 320, 10, 240);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_DOUBLE_CLICK, onMouseDoubleClickOnObject);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_OVER, onMouseOverObject);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_OUT, onMouseOutObject);       // add the projector to the scene, being part of the object group       objectGroup.addChild(projector);             // store projector in an array       projectors.push(projector);     }         private function organiseProjectors():void {       // calculate angle between projectors       var theta:Number = 360 / projectors.length;             // set up each projector so that they are distributed in a circle and facing outwards       for (var i:int = 0; i < projectors.length; i++) {         var projector:Cube = projectors[i];                 // specifc angle for projector         var angle:Number = i * theta - 180;         var angleRadians:Number = angle * 2 * Math.PI / 360.;         // position of projector         var x:Number = Math.sin(angleRadians) * ORBITAL_RADIUS;         var z:Number = Math.cos(angleRadians) * ORBITAL_RADIUS;         // create tween to position, rotate and scale projector smoothly over 1 second         Tweener.addTween(projector, {x:x, y:-150, z:z, rotationY:angle, scale:0.8, time:1, transition:"linear" });       }     }         override protected function onRenderTick(event:Event=null):void {       // rotate the object group: angle kept between 0 and 360 degrees       objectGroup.rotationY += 1;       if (objectGroup.rotationY > 360) {         objectGroup.rotationY -= 360;       }             // if an object is active (double clicked) rotate it in the opposite direction       // to the group so that it is stationary       if (currentActiveObject != null) {         currentActiveObject.rotationY -=1;         if (currentActiveObject.rotationY < 0) {           currentActiveObject.rotationY += 360;         }       }             // If the mouse button has been clicked then update the camera position            if (doRotation && canRotate) {         // convert the change in mouse position into a change in camera angle         var dPitch:Number = (mouseY - lastMouseY) / 2;         var dYaw:Number = (mouseX - lastMouseX) / 2;                 // update the camera angles         cameraPitch -= dPitch;         cameraYaw -= dYaw;         // limit the pitch of the camera         if (cameraPitch <= 0) {           cameraPitch = 0.1;         } else if (cameraPitch >= 180) {           cameraPitch = 179.9;         }               // reset the last mouse position         lastMouseX = mouseX;         lastMouseY = mouseY;                 // reposition the camera         camera.orbit(cameraPitch, cameraYaw);       }             // call the renderer       super.onRenderTick(event);     }     // called when mouse down on stage     private function onMouseDown(event:MouseEvent):void {       doRotation = true;       lastMouseX = event.stageX;       lastMouseY = event.stageY;     }     // called when mouse up on stage     private function onMouseUp(event:MouseEvent):void {       doRotation = false;     }         // called when mouse double clicked on a projector     private function onMouseDoubleClickOnObject(event:InteractiveScene3DEvent):void {       var object:DisplayObject3D = event.displayObject3D;             // determine if the object is to be activated (placed in center) or deactivated       if (object == currentActiveObject) {         deactivate(object);       } else {         activate(object);       }     }         // disable camera rotation when mouse is over a projector     private function onMouseOverObject(event:InteractiveScene3DEvent):void {       canRotate = false;     }         // re-enable camera rotation when mouse is out of a projector     private function onMouseOutObject(event:InteractiveScene3DEvent):void {       canRotate = true;     }         // places a projector in the center     private function activate(object:DisplayObject3D):void {       // remove projector from rotating projectors array       projectors.splice(projectors.indexOf(object), 1);             // if a projector is active already, put it back in the array of rotating projectors       if (currentActiveObject != null) {         projectors.push(currentActiveObject);       }             // create a tween to place selected projector in the center       Tweener.addTween(object, {y:100, x:0, z:0, rotationY:-objectGroup.rotationY, scale:2, time:1, transition:"linear" });       currentActiveObject = object;       // re-organise the other projectors       organiseProjectors();          }         // puts an activated projector back into the main pack of rotating projectors     private function deactivate(object:DisplayObject3D):void {       // put the projector back into the rotating projectors array       projectors.push(currentActiveObject);       currentActiveObject = null;            // re-organise all projectors       organiseProjectors();          }       } }

All of this provides the following Flash movie. As mentioned above, double-click on an object to activate it (this actually just means that the object is magnified and stops spinning - it doesn’t change any of the object characteristics). Double-click on an activated one to deactivate it (put it back with the others). Two projectors allow for user interactions at any point in time: you can draw on one and rotate the 3D scene on the other. The final projector streams House Of Cards by Radiohead (another Paperivision3D example?!). The whole scene can be rotated by clicking on the background and moving the mouse. Click on the image below to see it all in action.

So, as with the other articles in this series lets take a look at how the scene is constructed step-by-step. As usual, the code is organised in more of less the same way as previous examples. The main difference comes from creating and attaching a video stream and modifying the animation and object interaction.

Let’s start with the constructor. The only difference here is the initialisation of the video stream. If you take a look at the source code for the VideoStreamMaterial you’ll see that it takes two objects: a Video and a NetStream. These are pure Actionscript objects necessary for streaming the data and displaying it. The Flex language reference for NetConnection came in handy here to see what these objects do and how to create them. A slightly cut-down method is used here but it remains in principal the same.

    private function createVideoStream():void {       // Create a NetConnection. 2-way connection not necessary: connect to null       connection = new NetConnection();       connection.connect(null);       // Create a new NetStream to obtain the flv stream. Ignore client messages so use a simple Object       stream = new NetStream(connection);       stream.client = new Object();             // create a new video player       video = new Video();             // start streaming the video from the given URL and play it on the video player       stream.play(localVideoURL);       video.attachNetStream(stream);     }

As you can see in the example shown in the Flex livedocs, there are ways to listen to events occurring during the streaming but for this example I’ve just done a minimum to restrict the length of the code a bit.

Next we come to the scene creation. This again is based on previous examples so we have a light source, an object group to simplify the rotation of a number of objects and then the individual 3D objects, each one with a different MovieMaterial.

    private function createScene():void {       // Specify a point light source and its location       light = new PointLight3D();       light.x = 400;       light.y = 1000;       light.z = -400;       // Create a 3D object to group the projectors       objectGroup = new DisplayObject3D();       // Create a new video stream material with precise rendering.       var videoMaterial:VideoStreamMaterial = new VideoStreamMaterial(video, stream, true);       addProjector(videoMaterial);                 // Create a new flash movie material from an actionscript class (not transparent, animated and precise rendering)       var movieMaterial1:MovieMaterial = new MovieMaterial(new Example006b(), false, true, true);       addProjector(movieMaterial1);       // Create a new flash movie material from an embedded flash movie (not transparent, animated and precise rendering)       var movieMaterial2:MovieMaterial = new MovieMaterial(new DrawTool(), false, true, true);       addProjector(movieMaterial2);           // add the object group and light       scene.addChild(objectGroup);       scene.addChild(light);       // set up the projector positions in the scene       organiseProjectors();     }

As you can see the three MovieMaterials (VideoStreamMaterial inherits from this) are simple to create. Firstly the VideoStreamMaterial takes the Video and NetStream we created just before and I’ve chosen precise rendering to minimise perspective distortions. The other two MovieMaterials take in one case a Actionscript object and an embedded Flash movie in the other (see the start of the class definition to see the embedding, which is identical to how we embedded images in previous examples). The three boolean values are associated with transparent, animated and precise rendering arguments. So since the Flash movie objects are animated we need to specify true for the animated argument to ensure that the scenes are updated.

The scene is then populated with the object group (containing the 3D objects) and the light. The positioning of the 3D objects is delegated to the organiseProjectors function which we’ll come to shortly.

In this example I’m using the Cube primitive. Each one has a specific face (the “front”) showing the MovieMaterial and since each one has essentially the same characteristics I’ve factorised the code to initialise each one identically.

    private function addProjector(material:MovieMaterial):void {       // materials are smooth rendred, interactive and resize to the 3D object.       material.smooth = true;       material.interactive = true;       material.allowAutoResize = true;       // simple flat shaded material as default for the projector       var flatShadedMaterial:MaterialObject3D = new FlatShadeMaterial(light, 0x554D33, 0x1A120C);       flatShadedMaterial.interactive = true;             // Material list with MovieMaterial used on the front, the rest being flat shaded       var materialList:MaterialsList = new MaterialsList({"all":flatShadedMaterial, "front":material});       // create a new interactive projector       var projector:Cube = new Cube(materialList, 320, 10, 240);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_DOUBLE_CLICK, onMouseDoubleClickOnObject);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_OVER, onMouseOverObject);       projector.addEventListener(InteractiveScene3DEvent.OBJECT_OUT, onMouseOutObject);       // add the projector to the scene, being part of the object group       objectGroup.addChild(projector);             // store projector in an array       projectors.push(projector);     }

Each MovieMaterial is smoothed (to appear less pixelated), made interactive (so that the 3D object responds to mouse events) and auto-resized so that they resize automatically to the cube dimensions. The other five faces of the cube are covered in a simple flat-shaded material (as seen in Part 4) which is also interactive. The cube is then constructed with a MaterialList containing these two different materials. Event listeners are then added to the cube so that it responds to double-click events (to activate and deactivate it) and mouse over and out events which, as we’ll see later, are used to restrict the stage mouse listeners for rotating the scene (essentially they stop the scene from rotating when a user is interacting with one of the 3D objets).

The new cube is then added to the object group (so that it is rendered) and stored in an Array to allow us to access it later.

As you see in the example, the non-activated projectors are spaced evenly in a circle, facing outwards (the rotation comes simply from a rotation of the object group, handled separately). The function organiseProjectors performs the necessary calculations and animation.

    private function organiseProjectors():void {       // calculate angle between projectors       var theta:Number = 360 / projectors.length;             // set up each projector so that they are distributed in a circle and facing outwards       for (var i:int = 0; i < projectors.length; i++) {         var projector:Cube = projectors[i];                 // specifc angle for projector         var angle:Number = i * theta - 180;         var angleRadians:Number = angle * 2 * Math.PI / 360.;         // position of projector         var x:Number = Math.sin(angleRadians) * ORBITAL_RADIUS;         var z:Number = Math.cos(angleRadians) * ORBITAL_RADIUS;         // create tween to position, rotate and scale projector smoothly over 1 second         Tweener.addTween(projector, {x:x, y:-150, z:z, rotationY:angle, scale:0.8, time:1, transition:"linear" });       }     }

This function quite simply calculates the angle between each projector (Cube instance) and positions them in the x-z plane accordingly. To smoothly position each of them I’ve used a linear tween to modify the x, y, z, rotationY and scale properties of each of them, taking one second to animate. Thanks to Tweener this is very simple to perform!

Next we come to the onRenderTick function which updates the scene at every movie frame. This is essentially the same as for previous examples in the series

    override protected function onRenderTick(event:Event=null):void {       // rotate the object group: angle kept between 0 and 360 degrees       objectGroup.rotationY += 1;       if (objectGroup.rotationY > 360) {         objectGroup.rotationY -= 360;       }             // if an object is active (double clicked) rotate it in the opposite direction       // to the group so that it is stationary       if (currentActiveObject != null) {         currentActiveObject.rotationY -=1;         if (currentActiveObject.rotationY < 0) {           currentActiveObject.rotationY += 360;         }       }             // If the mouse button has been clicked then update the camera position            if (doRotation && canRotate) {         // convert the change in mouse position into a change in camera angle         var dPitch:Number = (mouseY - lastMouseY) / 2;         var dYaw:Number = (mouseX - lastMouseX) / 2;                 // update the camera angles         cameraPitch -= dPitch;         cameraYaw -= dYaw;         // limit the pitch of the camera         if (cameraPitch <= 0) {           cameraPitch = 0.1;         } else if (cameraPitch >= 180) {           cameraPitch = 179.9;         }               // reset the last mouse position         lastMouseX = mouseX;         lastMouseY = mouseY;                 // reposition the camera         camera.orbit(cameraPitch, cameraYaw);       }             // call the renderer       super.onRenderTick(event);     }

The object group is rotated as in previous examples. This time I’m using the rotationY property rather than the function yaw to have a better control of the angle of rotation. The activated object is spun in the opposite direction at the same time so that it is effectively stationary.

The camera rotation is essentially the same as before except that we use the canRotate boolean value to restrict the rotation when the mouse is over a 3D object.

The rest of the code is essentially to handle the mouse events. The onMouseDown, onMouseUp are the same as before to initiate and stop the scene rotation. onMouseOverObject and onMouseOutObject add to this by limiting the rotation when the user is interacting with a 3D object.

To activate and deactivate a projector the double-click event on a 3D object is used.

    // called when mouse double clicked on a projector     private function onMouseDoubleClickOnObject(event:InteractiveScene3DEvent):void {       var object:DisplayObject3D = event.displayObject3D;             // determine if the object is to be activated (placed in center) or deactivated       if (object == currentActiveObject) {         deactivate(object);       } else {         activate(object);       }     }

Simply, if the object clicked is the current active object then we deactivate it. If not we activate it.

    // places a projector in the center     private function activate(object:DisplayObject3D):void {       // remove projector from rotating projectors array       projectors.splice(projectors.indexOf(object), 1);             // if a projector is active already, put it back in the array of rotating projectors       if (currentActiveObject != null) {         projectors.push(currentActiveObject);       }             // create a tween to place selected projector in the center       Tweener.addTween(object, {y:100, x:0, z:0, rotationY:-objectGroup.rotationY, scale:2, time:1, transition:"linear" });       currentActiveObject = object;       // re-organise the other projectors       organiseProjectors();          }

When activating a projector, it is removed from the Array of spinning projectors. If another projector is already activated then we put it back into this group. A simple linear tween is then used to reposition the newly activated projector in the center and to rescale it so that it is bigger than the others. We then recall organiseProjectors to reposition the remaining projectors around a circle.

Deactivating a projector simply involves putting it back into the Array and repositioning all of them around a circle.

    // puts an activated projector back into the main pack of rotating projectors     private function deactivate(object:DisplayObject3D):void {       // put the projector back into the rotating projectors array       projectors.push(currentActiveObject);       currentActiveObject = null;            // re-organise all projectors       organiseProjectors();          }

So that’s all there is to it! Really Papervision3D and Tweener do all the complicated work to display and animated the 3D scene: all that’s new here is the creation of the movie materials. Once again I hope this shows that Papervision3D is really very simple to use. Looking at the Papervision3D source code really helps a lot to understand how the materials are created and you’ll see that I haven’t covered everything but hopefully this gives a good starting point in creating your own 3D scenes with movie materials!

Just for completeness I’ve included below the source code for the animated movies used for the MovieMaterials. One is a simple 2D, standard Flash animation that reacts to mouse events. The other is based on a previous Papervision3D example shown in this series (from Part 6) but without the InteractiveScene3DEvent handlers. I found it really amazing that one 3D scene can be used as a material in another 3D scene - good work Papervision3D!

Here’s drawTool.as…

package {   import flash.display.Sprite;   import flash.events.MouseEvent;   import flash.text.TextField;   import flash.text.TextFieldAutoSize;   import flash.text.TextFormat;     public class DrawTool extends Sprite {     private var isDrawing:Boolean = false;     public function DrawTool() {       // create a drawing surface       graphics.beginFill(0xEEEEEE);       graphics.moveTo(0, 0);       graphics.lineTo(320, 0);       graphics.lineTo(320, 240);       graphics.lineTo(0, 240);       graphics.endFill();             // create text and format       var textFormat:TextFormat = new TextFormat();       textFormat.size = 30;       textFormat.font = "Arial";             var text:TextField = new TextField();       text.x = 50;       text.y = 100;       text.textColor = 0x222222;       text.text = "click to draw!";       text.setTextFormat(textFormat);       text.autoSize = TextFieldAutoSize.LEFT;       text.selectable = false;       addChild(text);             // listen to mouse events       this.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);       this.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);       this.addEventListener(MouseEvent.MOUSE_MOVE, onMouseMove);           }         // start drawing circles     private function onMouseDown(event:MouseEvent):void {       isDrawing = true;       drawCircle(event.stageX, event.stageY);     }         // stop drawing circles     private function onMouseUp(event:MouseEvent):void {       isDrawing = false;     }         // draw a circle     private function onMouseMove(event:MouseEvent):void {       if (isDrawing) {         drawCircle(event.stageX, event.stageY);       }     }     // circle drawing function     private function drawCircle(x:int, y:int):void {       graphics.beginFill(Math.random() * 0xFFFFFF, 0.5);       graphics.drawCircle(x, y, 5);       graphics.endFill();     }       } }

… and finally Example006b.as :

package {     import flash.display.Bitmap;   import flash.display.Sprite;   import flash.events.Event;   import flash.events.MouseEvent;     import org.papervision3d.materials.BitmapMaterial;   import org.papervision3d.materials.utils.MaterialsList;   import org.papervision3d.objects.DisplayObject3D;   import org.papervision3d.objects.primitives.Cube;   import org.papervision3d.objects.primitives.Sphere;   import org.papervision3d.view.BasicView;   [SWF(backgroundColor="#FFFFFF")]   public class Example006b extends BasicView {       [Embed(source="/../assets/pv3d.png")] private var PV3D:Class;     private static const ORBITAL_RADIUS:Number = 100;       private var bitmap:Bitmap = new PV3D();     private var cube1:Cube;     private var cube2:Cube;     private var sphere1:Sphere;     private var sphere2:Sphere;     private var objectGroup:DisplayObject3D;         private var doRotation:Boolean = false;     private var lastMouseX:int;     private var lastMouseY:int;     private var cameraPitch:Number = 60;     private var cameraYaw:Number = -60;         public function Example006b() {       var background:Sprite = new Sprite();       background.graphics.beginFill(0x000000);       background.graphics.moveTo(0, 0);       background.graphics.lineTo(320, 0);       background.graphics.lineTo(320, 240);       background.graphics.lineTo(0, 240);       background.graphics.endFill();       addChild(background);             super(320, 240, true, false);       // Initialise Papervision3D       init3D();             // Create the 3D objects       createScene();       // Listen to mouse up and down events on the stage       background.addEventListener(MouseEvent.MOUSE_DOWN, onMouseDown);       background.addEventListener(MouseEvent.MOUSE_MOVE, onMouseMove);       background.addEventListener(MouseEvent.MOUSE_UP, onMouseUp);       // Start rendering the scene       startRendering();     }         private function init3D():void {       // position the camera       camera.z = -500;       camera.orbit(cameraPitch, cameraYaw);     }     private function createScene():void {       // create interactive bitmap material       var bitmapMaterial:BitmapMaterial = new BitmapMaterial(bitmap.bitmapData, false);       // create an interactive tiled bitmap material (bitmap tiled as 2 x 2)       var tiledBitmapMaterial:BitmapMaterial = new BitmapMaterial(bitmap.bitmapData, false);       tiledBitmapMaterial.tiled = true;       tiledBitmapMaterial.maxU = 2;       tiledBitmapMaterial.maxV = 2;             // create cube with simple bitmap material       cube1 = new Cube(getBitmapMaterials(bitmapMaterial), 50, 50, 50);       cube1.x = ORBITAL_RADIUS;       // create cube with tiled bitmap material       cube2 = new Cube(getBitmapMaterials(tiledBitmapMaterial), 50, 50, 50);       cube2.x = -ORBITAL_RADIUS;         // create sphere with simple bitmap material       sphere1 = new Sphere(bitmapMaterial, 25, 10, 10);       sphere1.z = ORBITAL_RADIUS;       // create sphere with tiled bitmap material       sphere2 = new Sphere(tiledBitmapMaterial, 25, 10, 10);       sphere2.z = -ORBITAL_RADIUS;       // Create a 3D object to group the spheres       objectGroup = new DisplayObject3D();       objectGroup.addChild(cube1);       objectGroup.addChild(cube2);       objectGroup.addChild(sphere1);       objectGroup.addChild(sphere2);       // Add the light and spheres to the scene       scene.addChild(objectGroup);     }         private function getBitmapMaterials(bitmapMaterial:BitmapMaterial):MaterialsList {       // create list of materials for all faces of the cube,       // all with the same bitmap material       var materials:MaterialsList = new MaterialsList();       materials.addMaterial(bitmapMaterial, "all");             return materials;     }         override protected function onRenderTick(event:Event=null):void {       // rotate the objects       cube1.yaw(-3);       cube2.yaw(-3);       sphere1.yaw(-3);       sphere2.yaw(-3);             // rotate the group of objects       objectGroup.yaw(1);       // call the renderer       super.onRenderTick(event);     }     // called when mouse down on stage     public function onMouseDown(event:MouseEvent):void {       doRotation = true;       lastMouseX = event.stageX;       lastMouseY = event.stageY;     }     // called when mouse up on stage     public function onMouseUp(event:MouseEvent):void {       doRotation = false;     }         // called when the mouse moves over the stage     public function onMouseMove(event:MouseEvent):void {       // If the mouse button has been clicked then update the camera position            if (doRotation) {                 // convert the change in mouse position into a change in camera angle         var dPitch:Number = (event.stageY - lastMouseY) / 2;         var dYaw:Number = (event.stageX - lastMouseX) / 2;                 // update the camera angles         cameraPitch -= dPitch;         cameraYaw -= dYaw;         // limit the pitch of the camera         if (cameraPitch <= 0) {           cameraPitch = 0.1;         } else if (cameraPitch >= 180) {           cameraPitch = 179.9;         }               // reset the last mouse position         lastMouseX = event.stageX;         lastMouseY = event.stageY;                 // reposition the camera         camera.orbit(cameraPitch, cameraYaw);       }           }       } }

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