Examples of javax.media.j3d.Transform3D

javax.media.j3d.Transform3D
A generalized transform object represented internally as a 4x4 double-precision floating point matrix. The mathematical representation is row major, as in traditional matrix mathematics. A Transform3D is used to perform translations, rotations, and scaling and shear effects.
A transform has an associated type, and all type classification is left to the Transform3D object. A transform will typically have multiple types, unless it is a general, unclassifiable matrix, in which case it won't be assigned a type.
The Transform3D type is internally computed when the transform object is constructed and updated any time it is modified. A matrix will typically have multiple types. For example, the type associated with an identity matrix is the result of ORing all of the types, except for ZERO and NEGATIVE_DETERMINANT, together. There are public methods available to get the ORed type of the transformation, the sign of the determinant, and the least general matrix type. The matrix type flags are defined as follows:
- ZERO - zero matrix. All of the elements in the matrix have the value 0.
- IDENTITY - identity matrix. A matrix with ones on its main diagonal and zeros every where else.
- SCALE - the matrix is a uniform scale matrix - there are no rotational or translation components.
- ORTHOGONAL - the four row vectors that make up an orthogonal matrix form a basis, meaning that they are mutually orthogonal. The scale is unity and there are no translation components.
- RIGID - the upper 3 X 3 of the matrix is orthogonal, and there is a translation component-the scale is unity.
- CONGRUENT - this is an angle- and length-preserving matrix, meaning that it can translate, rotate, and reflect about an axis, and scale by an amount that is uniform in all directions. These operations preserve the distance between any two points, and the angle between any two intersecting lines.
- AFFINE - an affine matrix can translate, rotate, reflect, scale anisotropically, and shear. Lines remain straight, and parallel lines remain parallel, but the angle between intersecting lines can change.
A matrix is also classified by the sign of its determinant:
The Java 3D model for 4 X 4 transformations is:
Note: When transforming a Point3f or a Point3d, the input w is set to 1. When transforming a Vector3f or Vector3d, the input w is set to 0.

    //Generate the tetrahedron as a Shape.
    Shape3D tetrahedron = new Shape3D(te,yellowApp);


    //The transformation group of the tetrahedron.
    //The tetrahedron will be rotated a little bit.
    Transform3D tfTetrahedron = new Transform3D();
    tfTetrahedron.rotX(0.4*Math.PI);
    TransformGroup tgTetrahedron = new TransformGroup(tfTetrahedron);
    tgTetrahedron.addChild(tetrahedron);




//*** The root of the scenegraph. ***

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    fBox.setUserData("box");


    TransformGroup tgmBox = new TransformGroup();
    tgmBox.addChild(fBox);


    Transform3D rotationAxis = new Transform3D();




    //The following lines define what the cube should do when picked.
    Alpha boxAlpha = new Alpha(1,2000);


    //The starting time is first postponed until "infinity".
    boxAlpha.setStartTime(Long.MAX_VALUE);


    RotationInterpolator boxRotation = new RotationInterpolator(boxAlpha,tgmBox,
                                             rotationAxis,0.0f,(float) Math.PI*2);


    BoundingSphere bounds = new BoundingSphere(new Point3d(0.0,0.0,0.0),Double.MAX_VALUE);
    boxRotation.setSchedulingBounds(bounds);


    //The movement is added to the transformation group.
    tgmBox.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tgmBox.addChild(boxRotation);




    //A transformation group for positioning the cube.
    Transform3D tfFBox = new Transform3D();
    tfFBox.rotY(Math.PI/6);
    Transform3D rotationX = new Transform3D();
    rotationX.rotX(-Math.PI/5);
    tfFBox.mul(rotationX);
    TransformGroup tgFBox = new TransformGroup(tfFBox);
    tgFBox.addChild(tgmBox);




//*** The same for the sphere.
    Color3f ambientColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    Color3f emissiveColourBSphere = new Color3f(0.0f,0.0f,0.0f);
    Color3f diffuseColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    Color3f specularColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    float shininessBSphere = 2.0f;


    Appearance bSphereApp = new Appearance();


    bSphereApp.setMaterial(new Material(ambientColourBSphere,
                                        emissiveColourBSphere,
                                        diffuseColourBSphere,
                                        specularColourBSphere,
                                        shininessBSphere));


    Sphere bSphere = new Sphere(0.4f,bSphereApp);


    //The UserData are needed in order to identify the sphere when it is picked.
    bSphere.setUserData("sphere");


    TransformGroup tgmBSphere = new TransformGroup();
    tgmBSphere.addChild(bSphere);




    //Two transformations must be defined for the sphere: One for
    //shrinking, one for growing. First the shrinking transformation 
    //is defined.
    Alpha sphereShrinkAlpha = new Alpha(1,2000);


    //The starting time is first postponed until "infinity".
    sphereShrinkAlpha.setStartTime(Long.MAX_VALUE);


    ScaleInterpolator shrinker = new ScaleInterpolator(sphereShrinkAlpha,
                                                       tgmBSphere,
                                                       new Transform3D(),
                                                       1.0f,0.5f);


    shrinker.setSchedulingBounds(bounds);


    tgmBSphere.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tgmBSphere.addChild(shrinker);




    //The same for the growing sphere.
    Alpha sphereStretchAlpha = new Alpha(1,2000);
    sphereStretchAlpha.setStartTime(Long.MAX_VALUE);


    ScaleInterpolator stretcher = new ScaleInterpolator(sphereStretchAlpha,
                                                       tgmBSphere,
                                                       new Transform3D(),
                                                       0.5f,1.0f);


    stretcher.setSchedulingBounds(bounds);


    tgmBSphere.addChild(stretcher);




    //A transformation group for positioning the sphere.
    Transform3D tfBSphere = new Transform3D();
    tfBSphere.setTranslation(new Vector3f(2.0f,0.0f,-10.5f));
    TransformGroup tgBSphere = new TransformGroup(tfBSphere);
    tgBSphere.addChild(tgmBSphere);


    //Generate the scenegraph.
    BranchGroup theScene = new BranchGroup();

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    Box myBox = new Box(0.2f,0.2f,0.2f,boxApp);


    //Rotate and shift the cube slightly.
    Transform3D tfBox = new Transform3D();
    tfBox.rotY(Math.PI/6);
    tfBox.rotX(Math.PI/9);
    Transform3D shift = new Transform3D();
    shift.setTranslation(new Vector3f(-0.6f,-0.2f,0.1f));
    tfBox.mul(shift);
    TransformGroup tgBox = new TransformGroup(tfBox);
    tgBox.addChild(myBox);








//*** Generate a sphere. ***


    //Generate an (unrealistic) Appearance for the sphere.
    Color3f ambientColourSphere = new Color3f(1.0f,0.0f,0.0f);
    Color3f emissiveColourSphere = new Color3f(0.3f,0.0f,0.0f);
    Color3f diffuseColourSphere = new Color3f(0.0f,1.0f,0.0f);
    Color3f specularColourSphere = new Color3f(0.0f,0.0f,1.0f);
    float shininessSphere = 20.0f;


    Appearance sphereApp = new Appearance();


    sphereApp.setMaterial(new Material(ambientColourSphere,emissiveColourSphere,
                           diffuseColourSphere,specularColourSphere,shininessSphere));






    Sphere mySphere = new Sphere(0.3f,Sphere.GENERATE_NORMALS,100,sphereApp);
    Transform3D tfSphere = new Transform3D();
    tfSphere.setTranslation(new Vector3f(0.0f,0.0f,-1.0f));


    TransformGroup tgSphere = new TransformGroup(tfSphere);
    tgSphere.addChild(mySphere);

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    //The Alpha for the rotation.
    Alpha alphaLight = new Alpha(-1,4000);
    //The rotation.
    RotationInterpolator rot = new RotationInterpolator(alphaLight,tfmLight,
                                                        new Transform3D(),
                                                         0.0f,(float) Math.PI*2);
    rot.setSchedulingBounds(bounds);


    tfmLight.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tfmLight.addChild(rot);

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    for (int i=0; i<rows; i++)
    {
      for (int j=0; j<columns; j++)
      {
        tfArray[i][j] = new Transform3D();
        tfArray[i][j].setTranslation(new Vector3f(i*columnStep-2.0f,j*0.1f-0.5f,-j*rowStep));
        tgArray[i][j] = new TransformGroup(tfArray[i][j]);
        tgArray[i][j].addChild(new Link(sgSphere));
        theScene.addChild(tgArray[i][j]);
      }

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    //Create a transformgroup for the rotation of the box.
    TransformGroup tgmBox = new TransformGroup();
    tgmBox.addChild(fBox);


    //Define the rotation.
    Transform3D rotationAxis = new Transform3D();


    Alpha boxAlpha = new Alpha(1,2000);


    //Set the starting time of the rotation to infinity.
    boxAlpha.setStartTime(Long.MAX_VALUE);


    RotationInterpolator boxRotation = new RotationInterpolator(boxAlpha,tgmBox,
                                             rotationAxis,0.0f,(float) Math.PI*2);


    BoundingSphere bounds = new BoundingSphere(new Point3d(0.0,0.0,0.0),100.0);
    boxRotation.setSchedulingBounds(bounds);


    //Add the rotation to the corresponding transform group.
    tgmBox.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tgmBox.addChild(boxRotation);




    //Create a transformgroup for the positioning of the box and add the
    //transformgroup with the rotation.
    Transform3D tfFBox = new Transform3D();
    tfFBox.rotY(Math.PI/6);
    Transform3D rotationX = new Transform3D();
    rotationX.rotX(-Math.PI/5);
    tfFBox.mul(rotationX);
    TransformGroup tgFBox = new TransformGroup(tfFBox);


    tgFBox.addChild(tgmBox);




    //The same for the sphere:
    Color3f ambientColourBSphere = new Color3f(0.0f,0.0f,0.0f);
    Color3f emissiveColourBSphere = new Color3f(0.0f,0.0f,0.0f);
    Color3f diffuseColourBSphere = new Color3f(0.0f,0.5f,0.0f);
    Color3f specularColourBSphere = new Color3f(0.0f,0.8f,0.0f);
    float shininessBSphere = 128.0f;


    Appearance bSphereApp = new Appearance();


    bSphereApp.setMaterial(new Material(ambientColourBSphere,
                                        emissiveColourBSphere,
                                        diffuseColourBSphere,
                                        specularColourBSphere,
                                        shininessBSphere));


    Sphere bSphere = new Sphere(0.4f,bSphereApp);


    bSphere.setUserData("sphere");


    TransformGroup tgmBSphere = new TransformGroup();
    tgmBSphere.addChild(bSphere);




    //Create the transformation for shrinking.
    Alpha sphereShrinkAlpha = new Alpha(1,2000);
    sphereShrinkAlpha.setStartTime(Long.MAX_VALUE);


    ScaleInterpolator shrinker = new ScaleInterpolator(sphereShrinkAlpha,
                                                       tgmBSphere,
                                                       new Transform3D(),
                                                       1.0f,0.5f);


    shrinker.setSchedulingBounds(bounds);






    tgmBSphere.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tgmBSphere.addChild(shrinker);




    //Create the transformation for stretching the sphere again.
    Alpha sphereStretchAlpha = new Alpha(1,2000);
    sphereStretchAlpha.setStartTime(Long.MAX_VALUE);


    ScaleInterpolator stretcher = new ScaleInterpolator(sphereStretchAlpha,
                                                       tgmBSphere,
                                                       new Transform3D(),
                                                       0.5f,1.0f);


    stretcher.setSchedulingBounds(bounds);


    tgmBSphere.addChild(stretcher);






    //Create a transform group to position the sphere and add the
    //transfromgroup with the shrinking/stretching.
    Transform3D tfBSphere = new Transform3D();
    tfBSphere.setTranslation(new Vector3f(2.0f,0.0f,-10.5f));
    TransformGroup tgBSphere = new TransformGroup(tfBSphere);
    tgBSphere.addChild(tgmBSphere);


    //Create the root of the scene graph and add the box and the sphere group.
    BranchGroup theScene = new BranchGroup();;

View Full Code Here


    //Generate the platform in the form of a cube.
    Box platform = new Box(platformSize,platformSize,platformSize,redApp);


    //A transformation rotating the platform a little bit.
    Transform3D tfPlatform = new Transform3D();
    tfPlatform.rotY(Math.PI/6);


    //The transformation group of the platform.
    TransformGroup tgPlatform = new TransformGroup(tfPlatform);
    tgPlatform.addChild(platform);










//*** The cockpit of the helicopter. ****


    //An Appearance to make the cockpit green.
    Appearance greenApp = new Appearance();
    setToMyDefaultAppearance(greenApp,new Color3f(0.0f,0.7f,0.0f));


    //Radius of the cockpit.
    float cabinRadius = 0.1f;


    //Generate the cockpit in the form of a sphere.
    Sphere cabin = new Sphere(cabinRadius,greenApp);


    //The transformation group for the cockpit.
    //The cockpit first remains in the origin. Later on, the whole
    //helicopter is shifted onto the platform.
    TransformGroup tgCabin = new TransformGroup();
    tgCabin.addChild(cabin);




//*** The rotor blade of the helicopter. ***


    //An Appearance to make the rotor blade blue.
    Appearance blueApp = new Appearance();
    setToMyDefaultAppearance(blueApp,new Color3f(0.0f,0.0f,1.0f));


    //Generate the rotor blade in the form of a (very thin and long) box.
    Box rotor = new Box(0.4f,0.0001f,0.01f,blueApp);


    //A transformation placing the rotor blade on top of the cockpit.
    Transform3D tfRotor = new Transform3D();
    tfRotor.setTranslation(new Vector3f(0.0f,cabinRadius,0.0f));


    //The transformation group for the rotor blade.
    TransformGroup tgRotor = new TransformGroup(tfRotor);
    tgRotor.addChild(rotor);




//*** The tail of the helicopter. ***


    //Length of the tail.
    float halfTailLength = 0.2f;


    //Generate the tail in form of a green box.
    Box tail = new Box(halfTailLength,0.02f,0.02f,greenApp);


    //A transformation placing the tail at the end of the cockpit.
    Transform3D tfTail = new Transform3D();
    tfTail.setTranslation(new Vector3f(cabinRadius+halfTailLength,0.0f,0.0f));


    //The transformation group for the tail.
    TransformGroup tgTail = new TransformGroup(tfTail);
    tgTail.addChild(tail);






//*** The helicopter, assembled by the transformation groups  ***
//*** for the cockpit, the rotor blade and the tail.          ***
//*** Afterwards, the helicopter must be lifted onto the      ***
//*** platform.                                               ***


    //The transformation placing the helicopter on top of the platform.
    Transform3D tfHelicopter = new Transform3D();
    tfHelicopter.setTranslation(new Vector3f(0.0f,platformSize+cabinRadius,0.0f));


    //The transformation group for the helicopter.
    TransformGroup tgHelicopter = new TransformGroup(tfHelicopter);
    tgHelicopter.addChild(tgCabin);
    tgHelicopter.addChild(tgRotor);
    tgHelicopter.addChild(tgTail);




//*** The helicopter and the platform are joint together in one    ***
//*** transformation group in order to place them together         ***
//*** in the scene.                                                ***
    //The transformation for positioning the helicopter
    //together with the platform.
    Transform3D tfHeliPlat = new Transform3D();
    tfHeliPlat.setTranslation(new Vector3f(0.0f,0.1f,0.0f));


    //The transformation group for the helicopter together with the platform.
    TransformGroup tgHeliPlat = new TransformGroup(tfHeliPlat);
    tgHeliPlat.addChild(tgHelicopter);
    tgHeliPlat.addChild(tgPlatform);






//*** The tree trunk. ***


    //An Appearance to make the tree trunk brown.
    Appearance brownApp = new Appearance();
    setToMyDefaultAppearance(brownApp,new Color3f(0.5f,0.2f,0.2f));


    //Height of the tree trunk.
    float trunkHeight = 0.4f;


    //Generate the tree trunk as a cylinder.
    Cylinder trunk = new Cylinder(0.05f,trunkHeight,brownApp);


    //The transformation group of the tree trunk. The tree trunk first
    //remains in the origin and is placed in the scene together with the 
    //leaves.
    TransformGroup tgTrunk = new TransformGroup();
    tgTrunk.addChild(trunk);




//*** The treetop. ***


    //Height of the treetop.
    float leavesHeight = 0.4f;


    //Generate the treetop in the form of a green cone.
    Cone leaves = new Cone(0.3f,leavesHeight,greenApp);


    //A transformation to place the treetop on top of the tree trunk.
    Transform3D tfLeaves = new Transform3D();
    tfLeaves.setTranslation(new Vector3f(0.0f,(trunkHeight+leavesHeight)/2,0.0f));


    //The transformation group of the treetop.
    TransformGroup tgLeaves = new TransformGroup(tfLeaves);
    tgLeaves.addChild(leaves);




//*** The tree assembled from the transformation groups for     ***
//*** the tree trunk and the treetop.                           ***


    //A transformation for positioning the tree in the scene.
    Transform3D tfTree = new Transform3D();
    tfTree.setTranslation(new Vector3f(-0.6f,0.0f,0.0f));


    //The transformation group of the tree.
    TransformGroup tgTree = new TransformGroup(tfTree);
    tgTree.addChild(tgTrunk);
    tgTree.addChild(tgLeaves);

View Full Code Here


    //The UserData are needed in order to identify the cube when it is picked.
    fBox.setUserData("cube");




    Transform3D tfFBox = new Transform3D();
    tfFBox.rotY(Math.PI/6);
    Transform3D rotationX = new Transform3D();
    rotationX.rotX(-Math.PI/5);
    tfFBox.mul(rotationX);
    TransformGroup tgFBox = new TransformGroup(tfFBox);


    tgFBox.addChild(fBox);






//*** Generate a red cube including its transformation group. ***
    Color3f ambientColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    Color3f emissiveColourBSphere = new Color3f(0.0f,0.0f,0.0f);
    Color3f diffuseColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    Color3f specularColourBSphere = new Color3f(0.0f,0.6f,0.0f);
    float shininessBSphere = 2.0f;


    Appearance bSphereApp = new Appearance();


    bSphereApp.setMaterial(new Material(ambientColourBSphere,emissiveColourBSphere,
                          diffuseColourBSphere,specularColourBSphere,shininessBSphere));


    Sphere bSphere = new Sphere(0.4f,bSphereApp);


    //The UserData are needed in order to identify the sphere when it is picked.
    bSphere.setUserData("sphere");


    Transform3D tfBSphere = new Transform3D();
    tfBSphere.setTranslation(new Vector3f(2.0f,0.0f,-10.5f));
    TransformGroup tgBSphere = new TransformGroup(tfBSphere);
    tgBSphere.addChild(bSphere);


    //Generate the scenegraph.
    BranchGroup theScene = new BranchGroup();

View Full Code Here

    float shift = 3.0f*r; //Distance between cube and sphere.




//*** The sphere and its transformation group ***
    Sphere s = new Sphere(r,Sphere.GENERATE_NORMALS,100,shadedApp);
    Transform3D tfSphere = new Transform3D();
    tfSphere.setTranslation(new Vector3f(-0.95f+r,0.0f,0.0f));
    TransformGroup tgSphere = new TransformGroup(tfSphere);
    tgSphere.addChild(s);
    theScene.addChild(tgSphere);








//*** The cube and its transformation group ***
    Box b2 = new Box(boxHL,boxHL,boxHL,shadedApp);
    Transform3D tfBox2 = new Transform3D();
    tfBox2.setTranslation(new Vector3f(-0.95f+r+shift,0.0f,0.0f));
    Transform3D rotation = new Transform3D();
    rotation.rotY(Math.PI/4);
    Transform3D rotationX = new Transform3D();
    rotationX.rotX(Math.PI/6);
    rotation.mul(rotationX);
    tfBox2.mul(rotation);
    TransformGroup tgBox2 = new TransformGroup(tfBox2);
    tgBox2.addChild(b2);
    theScene.addChild(tgBox2);

View Full Code Here


    //The Alpha for the rotation.
    Alpha alphaLight = new Alpha(-1,4000);
    //The rotation
    RotationInterpolator rot = new RotationInterpolator(alphaLight,tfmLight,
                                                        new Transform3D(),
                                                         0.0f,(float) Math.PI*2);
    rot.setSchedulingBounds(bounds);


    tfmLight.setCapability(TransformGroup.ALLOW_TRANSFORM_WRITE);
    tfmLight.addChild(rot);

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barsuift.simLife.j3d.tree.BasicTreeBranchPart3DTest

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