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.

      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));
      // Apply model rotation
      Transform3D rotationTransform = new Transform3D();
      if (modelRotation != null) {
        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]);
        rotationTransform.setRotation(modelRotationMatrix);
      }
      rotationTransform.mul(translation);
      // 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.z - lower.z)), (upper.y - lower.y)));
      modelTransform.mul(rotationTransform);
      
      TransformGroup modelTransformGroup = (TransformGroup)this.sceneTree.getChild(0);
      modelTransformGroup.setTransform(modelTransform);
    }
  }

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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 fill a 1 unit wide box
      Transform3D scaleOneTransform = new Transform3D();
      scaleOneTransform.setScale (
          new Vector3d(1 / Math.max(0.0001, upper.x -lower.x), 
              1 / Math.max(0.0001, upper.y - lower.y), 
              1 / Math.max(0.0001, upper.z - lower.z)));
      scaleOneTransform.mul(translation);
      // Apply model rotation
      Transform3D rotationTransform = new Transform3D();
      if (modelRotation != null) {
        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]);
        rotationTransform.setRotation(modelRotationMatrix);
      }
      rotationTransform.mul(scaleOneTransform);
      // Scale model to its size
      Transform3D scaleTransform = new Transform3D();
      if (width != 0 && depth != 0 && height != 0) {
        scaleTransform.setScale(new Vector3d(width, height, depth));
      }
      scaleTransform.mul(rotationTransform);
      // Scale model to make it fit in a 1.8 unit wide box      
      Transform3D modelTransform = new Transform3D();
      if (width != 0 && depth != 0 && height != 0) {
        modelTransform.setScale(1.8 / Math.max(Math.max(width, height), depth));
      } else {
        modelTransform.setScale(1.8 / Math.max(Math.max((upper.x -lower.x), (upper.z - lower.z)), (upper.y - lower.y)));
      }
      modelTransform.mul(scaleTransform);
      
      TransformGroup modelTransformGroup = (TransformGroup)this.sceneTree.getChild(0);
      modelTransformGroup.setTransform(modelTransform);
    }
  }

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      } else if ("visual_scene".equals(name)
              || "node".equals(name)
              || "node".equals(parent) && "instance_geometry".equals(name)) {
        this.parentGroups.pop();
      } else if ("matrix".equals(name)) {
        mulTransformGroup(new Transform3D(this.floats));
      } else if ("node".equals(parent) && "rotate".equals(name)) {
        Transform3D rotation = new Transform3D();
        rotation.setRotation(new AxisAngle4f(this.floats [0], this.floats [1], this.floats [2], 
            (float)Math.toRadians(floats[3])));
        mulTransformGroup(rotation);
      } else if ("scale".equals(name)) {
        Transform3D scale = new Transform3D();
        scale.setScale(new Vector3d(this.floats [0], this.floats [1], this.floats [2]));
        mulTransformGroup(scale);
      } else if ("node".equals(parent) && "translate".equals(name)) {
        Transform3D translation = new Transform3D();
        translation.setTranslation(new Vector3f(this.floats [0], this.floats [1], this.floats [2]));
        mulTransformGroup(translation);
      }
    }

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     * Multiplies the transform at top of the transform groups stack by the 
     * given <code>transformMultiplier</code>.
     */
    private void mulTransformGroup(Transform3D transformMultiplier) {
      TransformGroup transformGroup = (TransformGroup)this.parentGroups.peek();
      Transform3D transform = new Transform3D();
      transformGroup.getTransform(transform);
      transform.mul(transformMultiplier);
      transformGroup.setTransform(transform);
    }

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      for (Runnable runnable : this.postProcessingBinders) {
        runnable.run();
      }


      if (this.visualScene != null) {
        Transform3D rootTransform = new Transform3D();
        this.visualScene.getTransform(rootTransform);


        BoundingBox bounds = new BoundingBox(
            new Point3d(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY),
            new Point3d(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
        computeBounds(this.visualScene, bounds, new Transform3D());


        // Set orientation to Y_UP
        Transform3D axisTransform = new Transform3D();
        if ("Z_UP".equals(axis)) {
          axisTransform.rotX(-Math.PI / 2);
        } else if ("X_UP".equals(axis)) {
          axisTransform.rotZ(Math.PI / 2);
        }
        rootTransform.mul(axisTransform);
        // Translate model to its center
        Point3d lower = new Point3d();
        bounds.getLower(lower);
        if (lower.x != Double.POSITIVE_INFINITY) {
          Point3d upper = new Point3d();
          bounds.getUpper(upper);
          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));      
          rootTransform.mul(translation);
        }

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     * and its children.
     */
    private void computeBounds(Node node, BoundingBox bounds, Transform3D parentTransformations) {
      if (node instanceof Group) {
        if (node instanceof TransformGroup) {
          parentTransformations = new Transform3D(parentTransformations);
          Transform3D transform = new Transform3D();
          ((TransformGroup)node).getTransform(transform);
          parentTransformations.mul(transform);
        }
        // Compute the bounds of all the node children
        Enumeration<?> enumeration = ((Group)node).getAllChildren();

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   */
  public BoundingBox getBounds(Node node) {
    BoundingBox objectBounds = new BoundingBox(
        new Point3d(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY),
        new Point3d(Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY, Double.NEGATIVE_INFINITY));
    computeBounds(node, objectBounds, new Transform3D());
    Point3d lower = new Point3d();
    objectBounds.getLower(lower);
    if (lower.x == Double.POSITIVE_INFINITY) {
      throw new IllegalArgumentException("Node has no bounds");
    }

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  }
  
  private void computeBounds(Node node, BoundingBox bounds, Transform3D parentTransformations) {
    if (node instanceof Group) {
      if (node instanceof TransformGroup) {
        parentTransformations = new Transform3D(parentTransformations);
        Transform3D transform = new Transform3D();
        ((TransformGroup)node).getTransform(transform);
        parentTransformations.mul(transform);
      }
      // Compute the bounds of all the node children
      Enumeration<?> enumeration = ((Group)node).getAllChildren();

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    modelBounds.getLower(lower);
    Point3d upper = new Point3d();
    modelBounds.getUpper(upper);
    
    // Translate model to its 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 fill a 1 unit wide box
    Transform3D scaleOneTransform = new Transform3D();
    scaleOneTransform.setScale (
        new Vector3d(width / Math.max(MINIMUM_SIZE, upper.x -lower.x), 
            width / Math.max(MINIMUM_SIZE, upper.y - lower.y), 
            width / Math.max(MINIMUM_SIZE, upper.z - lower.z)));
    scaleOneTransform.mul(translation);
    Transform3D modelTransform = new Transform3D();
    if (modelRotation != null) {
      // Apply model rotation
      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]);
      modelTransform.setRotation(modelRotationMatrix);
    }
    modelTransform.mul(scaleOneTransform);
    
    return new TransformGroup(modelTransform);
  }

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  public Area getAreaOnFloor(Node node) {
    Area modelAreaOnFloor;
    int vertexCount = getVertexCount(node);
    if (vertexCount < 10000) {
      modelAreaOnFloor = new Area();
      computeAreaOnFloor(node, modelAreaOnFloor, new Transform3D());
    } else {
      List<float []> vertices = new ArrayList<float[]>(vertexCount); 
      computeVerticesOnFloor(node, vertices, new Transform3D());
      float [][] surroundingPolygon = getSurroundingPolygon(vertices.toArray(new float [vertices.size()][]));
      GeneralPath generalPath = new GeneralPath(GeneralPath.WIND_NON_ZERO, surroundingPolygon.length);
      generalPath.moveTo(surroundingPolygon [0][0], surroundingPolygon [0][1]);
      for (int i = 0; i < surroundingPolygon.length; i++) {
        generalPath.lineTo(surroundingPolygon [i][0], surroundingPolygon [i][1]);

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