Rolling a cube

I'm having trouble understanding how to rotate an object around an axis that is not 0,0,0. An example of what I want to do can be found here:

007design.com/cuberoll.gif

I've been reading through the Sun tutorial but I can't seem to find anything in there. All I have been able to do is spin a cube in place. Searching this forum and the web it seems that the steps are to

1) translate "space" to the rotation axis

2) perform the rotation on the object

3) translate "space" back

but I don't understand how to accomplish this. My grasp of geometry is shaky at best. If someone could please provide a code example it would be extremely helpful.

Thanks in advance.

Dan

[723 byte] By [doubleosevena] at [2007-10-3 4:23:51]
# 1

>'m having trouble understanding how to rotate an object around an axis that is not 0,0,0.

Make a TransformGroup. Set the Transform3D to the translated position. Attach the object to that TransformGroup. Provide a new Y - axis for the rotation interpolator. Initialize the interpolator. Go.

>If someone could please provide a code example it would be extremely helpful.

//add these lines to insert a rotation node into the scene graph

//*************************************

TransformGroup objRot = new TransformGroup();

objRot.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);

objTrans.addChild(objRot);

Vector3f vec = new Vector3f(-0.1f, -0.1f, -0.1f);

Transform3D tmpTransform = new Transform3D();

objTrans.getTransform(tmpTransform);

tmpTransform.setTranslation(vec);

objTrans.setTransform(tmpTransform);

regards

messengersa at 2007-7-14 22:26:14 > top of Java-index,Security,Cryptography...
# 2

Thanks a lot for the reply. Unfortunately, I'm still not getting it. I don't understand what you mean about the rotation interpolator. All I seem to be able to do is spin the cube in place or orbit it around a far off axis. I feel like there's something simple that I'm just not grasping. Below is the code I have.

Thanks again.

import java.applet.Applet;

import java.awt.BorderLayout;

import java.awt.GraphicsConfiguration;

import java.awt.event.KeyEvent;

import java.util.Enumeration;

import javax.media.j3d.Behavior;

import javax.media.j3d.BoundingSphere;

import javax.media.j3d.BranchGroup;

import javax.media.j3d.Canvas3D;

import javax.media.j3d.Transform3D;

import javax.media.j3d.TransformGroup;

import javax.media.j3d.WakeupOnAWTEvent;

import javax.vecmath.Vector3f;

import com.sun.j3d.utils.geometry.ColorCube;

import com.sun.j3d.utils.universe.SimpleUniverse;

public class CubeTest extends Applet {

public CubeTest() {

setLayout(new BorderLayout());

GraphicsConfiguration config = SimpleUniverse.getPreferredConfiguration();

// Create Canvas3D and add to frame

Canvas3D c = new Canvas3D(config);

add("Center", c);

// Create a simple scene and attach it to the virtual universe

BranchGroup scene = createSceneGraph();

scene.compile();

// Create a simple universe and add the scene to it

SimpleUniverse u = new SimpleUniverse(c);

u.getViewingPlatform().setNominalViewingTransform();

u.addBranchGraph(scene);

}

public BranchGroup createSceneGraph() {

// Create the root of the branch graph

BranchGroup objRoot = new BranchGroup();

// Create 2 transforms for isometric view

Transform3D rotate1 = new Transform3D();

Transform3D rotate2 = new Transform3D();

rotate1.rotX(Math.PI/4.0d);

rotate2.rotY(Math.PI/5.0d);

rotate1.mul(rotate2);

// Create transform group with rotations

TransformGroup objRotate = new TransformGroup(rotate1);

// Allow transform to be changed

objRotate.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);

// Add cube to transform group

objRotate.addChild(new ColorCube(0.2));

// Create behavior object with transform group

SimpleBehavior rotateBehavior = new SimpleBehavior(objRotate);

rotateBehavior.setSchedulingBounds(new BoundingSphere());

// Add behavior to transform group

objRotate.addChild(rotateBehavior);

// Add transform group to root

objRoot.addChild(objRotate);

return objRoot;

}

public static void main(String[] args) {

CubeTest c = new CubeTest();

}

class SimpleBehavior extends Behavior {

private TransformGroup targetTG;

private Transform3D rotation = new Transform3D();

private Transform3D translation = new Transform3D();

private double rotateAngle = -0.1;

// create SimpleBehavior - set TG object of change

public SimpleBehavior(TransformGroup targetTG){

this.targetTG = targetTG;

}

// Initialize the behavior

// called when behavior becomes live

public void initialize(){

// Set initial wakeup condition

this.wakeupOn(new WakeupOnAWTEvent(KeyEvent.KEY_PRESSED));

}

// Called by Java 3D when appropriate stimulus occurs

public void processStimulus(Enumeration criteria){

// Get current transform

Transform3D transform = new Transform3D();

targetTG.getTransform(transform);

translation.setTranslation(new Vector3f(-0.1f, -0.1f, -0.1f));

transform.mul(translation);

targetTG.setTransform(transform);

// Create new transform and add to transform group

rotation.rotZ(rotateAngle);

transform.mul(rotation);

targetTG.setTransform(transform);

// Reset wakeup condition

this.wakeupOn(new WakeupOnAWTEvent(KeyEvent.KEY_PRESSED));

}

} // end of class SimpleBehavior

}

doubleosevena at 2007-7-14 22:26:14 > top of Java-index,Security,Cryptography...
# 3

/*

* $RCSfile: HelloUniverse.java,v $

*

* Copyright (c) 2006 Sun Microsystems, Inc. All rights reserved.

*

* Redistribution and use in source and binary forms, with or without

* modification, are permitted provided that the following conditions

* are met:

*

* - Redistribution of source code must retain the above copyright

*notice, this list of conditions and the following disclaimer.

*

* - Redistribution in binary form must reproduce the above copyright

*notice, this list of conditions and the following disclaimer in

*the documentation and/or other materials provided with the

*distribution.

*

* Neither the name of Sun Microsystems, Inc. or the names of

* contributors may be used to endorse or promote products derived

* from this software without specific prior written permission.

*

* This software is provided "AS IS," without a warranty of any

* kind. ALL EXPRESS OR IMPLIED CONDITIONS, REPRESENTATIONS AND

* WARRANTIES, INCLUDING ANY IMPLIED WARRANTY OF MERCHANTABILITY,

* FITNESS FOR A PARTICULAR PURPOSE OR NON-INFRINGEMENT, ARE HEREBY

* EXCLUDED. SUN MICROSYSTEMS, INC. ("SUN") AND ITS LICENSORS SHALL

* NOT BE LIABLE FOR ANY DAMAGES SUFFERED BY LICENSEE AS A RESULT OF

* USING, MODIFYING OR DISTRIBUTING THIS SOFTWARE OR ITS

* DERIVATIVES. IN NO EVENT WILL SUN OR ITS LICENSORS BE LIABLE FOR

* ANY LOST REVENUE, PROFIT OR DATA, OR FOR DIRECT, INDIRECT, SPECIAL,

* CONSEQUENTIAL, INCIDENTAL OR PUNITIVE DAMAGES, HOWEVER CAUSED AND

* REGARDLESS OF THE THEORY OF LIABILITY, ARISING OUT OF THE USE OF OR

* INABILITY TO USE THIS SOFTWARE, EVEN IF SUN HAS BEEN ADVISED OF THE

* POSSIBILITY OF SUCH DAMAGES.

*

* You acknowledge that this software is not designed, licensed or

* intended for use in the design, construction, operation or

* maintenance of any nuclear facility.

*

* $Revision: 1.1 $

* $Date: 2006/02/01 01:32:42 $

* $State: Exp $

*/

import com.sun.j3d.utils.universe.*;

import com.sun.j3d.utils.geometry.ColorCube;

import javax.media.j3d.*;

import javax.vecmath.*;

import java.awt.GraphicsConfiguration;

/**

* Simple Java 3D example program to display a spinning cube.

*/

public class HelloUniverse extends javax.swing.JFrame {

private SimpleUniverse univ = null;

private BranchGroup scene = null;

public BranchGroup createSceneGraph() {

// Create the root of the branch graph

BranchGroup objRoot = new BranchGroup();

// Create the TransformGroup node and initialize it to the

// identity. Enable the TRANSFORM_WRITE capability so that

// our behavior code can modify it at run time. Add it to

// the root of the subgraph.

TransformGroup objTrans = new TransformGroup();

objTrans.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);

objRoot.addChild(objTrans);

//add these lines to insert a rotation node into the scene graph.

//*************************************

TransformGroup objRot = new TransformGroup();

objRot.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);

objTrans.addChild(objRot);

Vector3f vec = new Vector3f(-0.5f, -0.5f, -0.5f);

Transform3D tmpTransform = new Transform3D();

objTrans.getTransform(tmpTransform);

tmpTransform.setTranslation(vec);

objTrans.setTransform(tmpTransform);

//************************************

// Create a simple Shape3D node; add it to objRot.

objRot.addChild(new ColorCube(0.4));

// Create a new Behavior object that will perform the

// desired operation on the specified transform and add

// it into the scene graph.

Transform3D yAxis = new Transform3D();

Alpha rotationAlpha = new Alpha(-1, 4000);

// Create a rotation and add it to the objRot node

RotationInterpolator rotator =

new RotationInterpolator(rotationAlpha, objRot, yAxis,

0.0f, (float) Math.PI*2.0f);

BoundingSphere bounds =

new BoundingSphere(new Point3d(0.0,0.0,0.0), 100.0);

rotator.setSchedulingBounds(bounds);

objRoot.addChild(rotator);

// Have Java 3D perform optimizations on this scene graph.

objRoot.compile();

return objRoot;

}

private Canvas3D createUniverse() {

// Get the preferred graphics configuration for the default screen

GraphicsConfiguration config =

SimpleUniverse.getPreferredConfiguration();

// Create a Canvas3D using the preferred configuration

Canvas3D c = new Canvas3D(config);

// Create simple universe with view branch

univ = new SimpleUniverse(c);

// This will move the ViewPlatform back a bit so the

// objects in the scene can be viewed.

univ.getViewingPlatform().setNominalViewingTransform();

// Ensure at least 5 msec per frame (i.e., < 200Hz)

univ.getViewer().getView().setMinimumFrameCycleTime(5);

return c;

}

/**

* Creates new form HelloUniverse

*/

public HelloUniverse() {

// Initialize the GUI components

initComponents();

// Create Canvas3D and SimpleUniverse; add canvas to drawing panel

Canvas3D c = createUniverse();

drawingPanel.add(c, java.awt.BorderLayout.CENTER);

// Create the content branch and add it to the universe

scene = createSceneGraph();

univ.addBranchGraph(scene);

}

// -

/** This method is called from within the constructor to

* initialize the form.

* WARNING: Do NOT modify this code. The content of this method is

* always regenerated by the Form Editor.

*/

// <editor-fold defaultstate="collapsed" desc=" Generated Code ">//GEN-BEGIN:initComponents

private void initComponents() {

drawingPanel = new javax.swing.JPanel();

setDefaultCloseOperation(javax.swing.WindowConstants.EXIT_ON_CLOSE);

setTitle("HelloUniverse");

drawingPanel.setLayout(new java.awt.BorderLayout());

drawingPanel.setPreferredSize(new java.awt.Dimension(250, 250));

getContentPane().add(drawingPanel, java.awt.BorderLayout.CENTER);

pack();

}// </editor-fold>//GEN-END:initComponents

/**

* @param args the command line arguments

*/

public static void main(String args[]) {

java.awt.EventQueue.invokeLater(new Runnable() {

public void run() {

new HelloUniverse().setVisible(true);

}

});

}

// Variables declaration - do not modify//GEN-BEGIN:variables

private javax.swing.JPanel drawingPanel;

// End of variables declaration//GEN-END:variables

}

regards

messengersa at 2007-7-14 22:26:14 > top of Java-index,Security,Cryptography...