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.

  private Transform3D getModelRotationTransform() {
    float [][] modelRotation = this.controller.getModelRotation();
    Matrix3f modelRotationMatrix = new Matrix3f(modelRotation [0][0], modelRotation [0][1], modelRotation [0][2],
        modelRotation [1][0], modelRotation [1][1], modelRotation [1][2],
        modelRotation [2][0], modelRotation [2][1], modelRotation [2][2]);
    Transform3D transform = new Transform3D();
    transform.setRotation(modelRotationMatrix);
    return transform;
  }

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          Alpha alpha = getAlpha();
          if (alpha == null || alpha.finished()) {
            this.initialCamera = new Camera(camera.getX(), camera.getY(), camera.getZ(), 
                camera.getYaw(), camera.getPitch(), camera.getFieldOfView());
          } else if (alpha.value() < 0.3) {
            Transform3D finalTransformation = new Transform3D();
            // Jump directly to final location
            updateViewPlatformTransform(finalTransformation, this.finalCamera.getX(), this.finalCamera.getY(), this.finalCamera.getZ(), 
                this.finalCamera.getYaw(), this.finalCamera.getPitch());
            getTarget().setTransform(finalTransformation);
            this.initialCamera = this.finalCamera;
          } else {
            // Compute initial location from current alpha value 
            this.initialCamera = new Camera(this.initialCamera.getX() + (this.finalCamera.getX() - this.initialCamera.getX()) * alpha.value(), 
                this.initialCamera.getY() + (this.finalCamera.getY() - this.initialCamera.getY()) * alpha.value(), 
                this.initialCamera.getZ() + (this.finalCamera.getZ() - this.initialCamera.getZ()) * alpha.value(),
                this.initialCamera.getYaw() + (this.finalCamera.getYaw() - this.initialCamera.getYaw()) * alpha.value(), 
                this.initialCamera.getPitch() + (this.finalCamera.getPitch() - this.initialCamera.getPitch()) * alpha.value(), 
                finalCamera.getFieldOfView());
          }
          this.finalCamera = new Camera(finalCamera.getX(), finalCamera.getY(), finalCamera.getZ(), 
              finalCamera.getYaw(), finalCamera.getPitch(), finalCamera.getFieldOfView());
          
          // Create an animation that will interpolate camera location 
          // between initial camera and final camera in 150 ms
          if (alpha == null) {
            alpha = new Alpha(1, 150);
            setAlpha(alpha);
          }
          // Start animation now
          alpha.setStartTime(System.currentTimeMillis());
          // In case system is overloaded computeTransform won't be called
          // ensure final location will always be set after 150 ms
          this.scheduledExecutor.schedule(new Runnable() {
              public void run() {
                if (getAlpha().value() == 1) {
                  Transform3D transform = new Transform3D();
                  computeTransform(1, transform);
                  getTarget().setTransform(transform);
                }
              }
            }, 150, TimeUnit.MILLISECONDS);

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      // Get the camera interpolator
      CameraInterpolator cameraInterpolator = 
          (CameraInterpolator)viewPlatformTransform.getChild(viewPlatformTransform.numChildren() - 1);
      cameraInterpolator.moveCamera(camera);
    } else {
      Transform3D transform = new Transform3D();
      updateViewPlatformTransform(transform, camera.getX(), camera.getY(), 
          camera.getZ(), camera.getYaw(), camera.getPitch());
      viewPlatformTransform.setTransform(transform);
    }
    clearPrintedImageCache();

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   * Updates <code>viewPlatformTransform</code> transform from camera angles and location.
   */
  private void updateViewPlatformTransform(Transform3D transform, 
                                           float cameraX, float cameraY, float cameraZ, 
                                           float cameraYaw, float cameraPitch) {
    Transform3D yawRotation = new Transform3D();
    yawRotation.rotY(-cameraYaw + Math.PI);
    
    Transform3D pitchRotation = new Transform3D();
    pitchRotation.rotX(-cameraPitch);
    yawRotation.mul(pitchRotation);
    
    transform.setIdentity();
    transform.setTranslation(new Vector3f(cameraX, cameraZ, cameraY));
    transform.mul(yawRotation);

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                                final float groundDepth, 
                                boolean listenToHomeUpdates,
                                boolean waitForLoading) {
    final Ground3D ground3D = new Ground3D(this.home, 
        groundOriginX, groundOriginY, groundWidth, groundDepth, waitForLoading);
    Transform3D translation = new Transform3D();
    translation.setTranslation(new Vector3f(0, -0.2f, 0));
    TransformGroup transformGroup = new TransformGroup(translation);
    transformGroup.addChild(ground3D);
    
    if (listenToHomeUpdates) {
      // Add a listener on ground color and texture properties change

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     * Returns an icon created and scaled from piece model content.
     */
    private Icon createIcon(BranchGroup modelNode,  
                            float pieceWidth, float pieceDepth, float pieceHeight) {
      // Add piece model scene to a normalized transform group
      Transform3D scaleTransform = new Transform3D();
      scaleTransform.setScale(new Vector3d(2 / pieceWidth, 2 / pieceHeight, 2 / pieceDepth));
      TransformGroup modelTransformGroup = new TransformGroup();
      modelTransformGroup.setTransform(scaleTransform);
      modelTransformGroup.addChild(modelNode);
      // Replace model textures by clones because Java 3D doesn't accept all the time 
      // to share textures between offscreen and onscreen environments

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        this.out.write("mtllib " + new File(this.mtlFileName).getName() + "\n");
      }
      this.firstNode = false;
    }
    
    writeNode(node, nodeName, new Transform3D());
  }

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   * Writes all the 3D shapes children of <code>node</code> at OBJ format.
   */ 
  private void writeNode(Node node, String nodeName, Transform3D parentTransformations) throws IOException {
    if (node instanceof Group) {
      if (node instanceof TransformGroup) {
        parentTransformations = new Transform3D(parentTransformations);
        Transform3D transform = new Transform3D();
        ((TransformGroup)node).getTransform(transform);
        parentTransformations.mul(transform);
      }
      // Write all children
      Enumeration<?> enumeration = ((Group)node).getAllChildren();

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                                           float viewScale) {
    // Default distance used to view a 2 unit wide scene
    double nominalDistanceToCenter = 1.4 / Math.tan(Math.PI / 8);
    // We don't use a TransformGroup in scene tree to be able to share the same scene 
    // in the different views displayed by OrientationPreviewComponent class 
    Transform3D pitchRotation = new Transform3D();
    pitchRotation.rotX(viewPitch);
    Transform3D yawRotation = new Transform3D();
    yawRotation.rotY(viewYaw);
    Transform3D transform = new Transform3D();
    transform.setTranslation(
        new Vector3d(Math.sin(viewYaw) * nominalDistanceToCenter * Math.cos(viewPitch), 
            nominalDistanceToCenter * Math.sin(-viewPitch), 
            Math.cos(viewYaw) * nominalDistanceToCenter * Math.cos(viewPitch)));
    Transform3D scale = new Transform3D();
    scale.setScale(viewScale);
    
    yawRotation.mul(pitchRotation);
    transform.mul(yawRotation);
    scale.mul(transform);
    viewPlatformTransform.setTransform(scale);
  }

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          bounds.getLower(lower);
          Point3d upper = new Point3d();
          bounds.getUpper(upper);
          
          // Translate model to center
          Transform3D translation = new Transform3D ();
          translation.setTranslation(
              new Vector3d(-lower.x - (upper.x - lower.x) / 2, 
                           -lower.y - (upper.y - lower.y) / 2, 
                           -lower.z - (upper.z - lower.z) / 2));
          // Scale model to make it fit in a 1.8 unit wide box
          Transform3D modelTransform = new Transform3D();
          modelTransform.setScale (1.8 / Math.max (Math.max (upper.x -lower.x, upper.y - lower.y), 
                                                   upper.z - lower.z));
          modelTransform.mul(translation);
          
          modelTransformGroup.setTransform(modelTransform);
          modelTransformGroup.addChild(model);
        }
      }

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