Examples with Point3D org.fxyz.geometry.Point3D used on opensource projects

Example 36 with Point3D

use of org.fxyz.geometry.Point3D in project FXyzLib by Birdasaur.

the class BezierHelper method getKappa.

public double getKappa(double t) {
    if (ab == null || bc == null || cd == null) {
        preProcess();
    }
    // r'[t]
    Point3D dR = ab.multiply((float) (3d * Math.pow(1d - t, 2))).add(bc.multiply((float) (6d * (1d - t) * t)).add(cd.multiply((float) (3d * Math.pow(t, 2)))));
    // || r'[t] ||
    float nT = dR.magnitude();
    // r''[t]
    Point3D ddR = abc.multiply((float) (6d * (1d - t))).add(bcd.multiply((float) (6d * t)));
    // || r''[t]xr'[t] ||
    float nddRxdR = ddR.crossProduct(dR).magnitude();
    // kappa[t] = || r''[t]xr'[t] || / || r'[t] ||^3
    return nddRxdR / (float) Math.pow(nT, 3d);
}

Example 37 with Point3D

use of org.fxyz.geometry.Point3D in project FXyzLib by Birdasaur.

the class BezierHelper method getTau.

public double getTau(double t) {
    if (ab == null || bc == null || cd == null) {
        preProcess();
    }
    // r'[t]
    Point3D dR = ab.multiply((float) (3d * Math.pow(1d - t, 2))).add(bc.multiply((float) (6d * (1d - t) * t)).add(cd.multiply((float) (3d * Math.pow(t, 2)))));
    // r''[t]
    Point3D ddR = abc.multiply((float) (6d * (1d - t))).add(bcd.multiply((float) (6d * t)));
    // r'[t]xr''[t] . r'''[t]
    float dRxddRxdddR = dR.crossProduct(ddR).dotProduct(abcd.multiply(6f));
    // || r''[t]xr'[t] ||
    float ndRxddR = dR.crossProduct(ddR).magnitude();
    // tau[t] = r'[t]xr''[t].r'''[t] / || r''[t]xr'[t] ||^2
    return Math.abs(dRxddRxdddR / (float) Math.pow(ndRxddR, 2d));
}

Example 38 with Point3D

use of org.fxyz.geometry.Point3D in project FXyzLib by Birdasaur.

the class CuboidTest method start.

@Override
public void start(Stage primaryStage) throws Exception {
    Group sceneRoot = new Group();
    Scene scene = new Scene(sceneRoot, sceneWidth, sceneHeight, true, SceneAntialiasing.BALANCED);
    scene.setFill(Color.BLACK);
    camera = new PerspectiveCamera(true);
    // setup camera transform for rotational support
    cameraTransform.setTranslate(0, 0, 0);
    cameraTransform.getChildren().add(camera);
    camera.setNearClip(0.1);
    camera.setFarClip(10000.0);
    camera.setTranslateZ(-30);
    cameraTransform.ry.setAngle(-45.0);
    cameraTransform.rx.setAngle(-10.0);
    // add a Point Light for better viewing of the grid coordinate system
    PointLight light = new PointLight(Color.WHITE);
    cameraTransform.getChildren().add(light);
    light.setTranslateX(camera.getTranslateX());
    light.setTranslateY(camera.getTranslateY());
    light.setTranslateZ(10 * camera.getTranslateZ());
    scene.setCamera(camera);
    rotateY = new Rotate(0, 0, 0, 0, Rotate.Y_AXIS);
    Group group = new Group();
    group.getChildren().add(cameraTransform);
    cuboid = new CuboidMesh(10f, 12f, 4f, 5, new Point3D(0f, 0f, 0f));
    // cuboid.setDrawMode(DrawMode.LINE);
    // cuboid.setCullFace(CullFace.NONE);
    // NONE
    cuboid.setTextureModeNone(Color.ROYALBLUE);
    // IMAGE
    // cuboid.setTextureModeImage(getClass().getResource("res/netCuboid.png").toExternalForm());
    // DENSITY
    // cuboid.setTextureModeVertices3D(256*256,p->(double)p.x*p.y*p.z);
    // FACES
    // cuboid.setTextureModeFaces(1530);
    cuboid.getTransforms().addAll(new Rotate(0, Rotate.X_AXIS), rotateY);
    group.getChildren().add(cuboid);
    boolean testRayIntersection = false;
    if (testRayIntersection) {
        /*
            RAY INTERSECTION
            */
        javafx.geometry.Point3D gloOrigin = new javafx.geometry.Point3D(4, -7, -4);
        javafx.geometry.Point3D gloTarget = new javafx.geometry.Point3D(2, 3, 4);
        javafx.geometry.Point3D gloDirection = gloTarget.subtract(gloOrigin).normalize();
        javafx.geometry.Point3D gloOriginInLoc = cuboid.sceneToLocal(gloOrigin);
        Bounds locBounds = cuboid.getBoundsInLocal();
        Bounds gloBounds = cuboid.localToScene(locBounds);
        Sphere s = new Sphere(0.05d);
        s.getTransforms().add(new Translate(gloOrigin.getX(), gloOrigin.getY(), gloOrigin.getZ()));
        s.setMaterial(new PhongMaterial(Color.GREENYELLOW));
        group.getChildren().add(s);
        s = new Sphere(0.05d);
        s.getTransforms().add(new Translate(gloTarget.getX(), gloTarget.getY(), gloTarget.getZ()));
        s.setMaterial(new PhongMaterial(Color.GREENYELLOW));
        group.getChildren().add(s);
        javafx.geometry.Point3D dir = gloTarget.subtract(gloOrigin).crossProduct(new javafx.geometry.Point3D(0, -1, 0));
        double angle = Math.acos(gloTarget.subtract(gloOrigin).normalize().dotProduct(new javafx.geometry.Point3D(0, -1, 0)));
        double h1 = gloTarget.subtract(gloOrigin).magnitude();
        Cylinder c = new Cylinder(0.03d, h1);
        c.getTransforms().addAll(new Translate(gloOrigin.getX(), gloOrigin.getY() - h1 / 2d, gloOrigin.getZ()), new Rotate(-Math.toDegrees(angle), 0d, h1 / 2d, 0d, new javafx.geometry.Point3D(dir.getX(), -dir.getY(), dir.getZ())));
        c.setMaterial(new PhongMaterial(Color.GREEN));
        group.getChildren().add(c);
        group.getChildren().add(new Axes(0.02));
        Box box = new Box(gloBounds.getWidth(), gloBounds.getHeight(), gloBounds.getDepth());
        box.setDrawMode(DrawMode.LINE);
        box.setMaterial(new PhongMaterial(Color.BLUEVIOLET));
        box.getTransforms().add(new Translate(gloBounds.getMinX() + gloBounds.getWidth() / 2d, gloBounds.getMinY() + gloBounds.getHeight() / 2d, gloBounds.getMinZ() + gloBounds.getDepth() / 2d));
        // group.getChildren().add(box);
        /*
            FIRST STEP; Check the ray crosses the bounding box of the shape at any of
            its 6 faces
            */
        List<javafx.geometry.Point3D> normals = Arrays.asList(new javafx.geometry.Point3D(-1, 0, 0), new javafx.geometry.Point3D(1, 0, 0), new javafx.geometry.Point3D(0, -1, 0), new javafx.geometry.Point3D(0, 1, 0), new javafx.geometry.Point3D(0, 0, -1), new javafx.geometry.Point3D(0, 0, 1));
        List<javafx.geometry.Point3D> positions = Arrays.asList(new javafx.geometry.Point3D(locBounds.getMinX(), 0, 0), new javafx.geometry.Point3D(locBounds.getMaxX(), 0, 0), new javafx.geometry.Point3D(0, locBounds.getMinY(), 0), new javafx.geometry.Point3D(0, locBounds.getMaxY(), 0), new javafx.geometry.Point3D(0, 0, locBounds.getMinZ()), new javafx.geometry.Point3D(0, 0, locBounds.getMaxZ()));
        AtomicInteger counter = new AtomicInteger();
        IntStream.range(0, 6).forEach(i -> {
            // ray[t]= ori+t.dir; t/ray[t]=P in plane
            // plane P·N+d=0->(ori+t*dir)·N+d=0->t=-(ori.N+d)/(dir.N)
            // P=P(x,y,z), N={a,b,c}, d=-a·x0-b·y0-c·z0
            double d = -normals.get(i).dotProduct(positions.get(i));
            double t = -(gloOriginInLoc.dotProduct(normals.get(i)) + d) / (gloDirection.dotProduct(normals.get(i)));
            javafx.geometry.Point3D locInter = gloOriginInLoc.add(gloDirection.multiply(t));
            if (locBounds.contains(locInter)) {
                counter.getAndIncrement();
                javafx.geometry.Point3D gloInter = cuboid.localToScene(locInter);
                Sphere s2 = new Sphere(0.1d);
                s2.getTransforms().add(new Translate(gloInter.getX(), gloInter.getY(), gloInter.getZ()));
                s2.setMaterial(new PhongMaterial(Color.GOLD));
            // group.getChildren().add(s2);
            }
        });
        if (counter.get() > 0) {
            /*
                SECOND STEP: Check if the ray crosses any of the triangles of the mesh
                */
            // triangle mesh
            org.fxyz.geometry.Point3D gloOriginInLoc1 = new org.fxyz.geometry.Point3D((float) gloOriginInLoc.getX(), (float) gloOriginInLoc.getY(), (float) gloOriginInLoc.getZ());
            org.fxyz.geometry.Point3D gloDirection1 = new org.fxyz.geometry.Point3D((float) gloDirection.getX(), (float) gloDirection.getY(), (float) gloDirection.getZ());
            System.out.println("number of intersections: " + cuboid.getIntersections(gloOriginInLoc1, gloDirection1));
        }
    }
    sceneRoot.getChildren().addAll(group);
    // First person shooter keyboard movement
    scene.setOnKeyPressed(event -> {
        double change = 10.0;
        // Add shift modifier to simulate "Running Speed"
        if (event.isShiftDown()) {
            change = 50.0;
        }
        // What key did the user press?
        KeyCode keycode = event.getCode();
        // Step 2c: Add Zoom controls
        if (keycode == KeyCode.W) {
            camera.setTranslateZ(camera.getTranslateZ() + change);
        }
        if (keycode == KeyCode.S) {
            camera.setTranslateZ(camera.getTranslateZ() - change);
        }
        // Step 2d:  Add Strafe controls
        if (keycode == KeyCode.A) {
            camera.setTranslateX(camera.getTranslateX() - change);
        }
        if (keycode == KeyCode.D) {
            camera.setTranslateX(camera.getTranslateX() + change);
        }
    });
    scene.setOnMousePressed((MouseEvent me) -> {
        mousePosX = me.getSceneX();
        mousePosY = me.getSceneY();
        mouseOldX = me.getSceneX();
        mouseOldY = me.getSceneY();
    });
    scene.setOnMouseDragged((MouseEvent me) -> {
        mouseOldX = mousePosX;
        mouseOldY = mousePosY;
        mousePosX = me.getSceneX();
        mousePosY = me.getSceneY();
        mouseDeltaX = (mousePosX - mouseOldX);
        mouseDeltaY = (mousePosY - mouseOldY);
        double modifier = 10.0;
        double modifierFactor = 0.1;
        if (me.isControlDown()) {
            modifier = 0.1;
        }
        if (me.isShiftDown()) {
            modifier = 50.0;
        }
        if (me.isPrimaryButtonDown()) {
            // +
            cameraTransform.ry.setAngle(((cameraTransform.ry.getAngle() + mouseDeltaX * modifierFactor * modifier * 2.0) % 360 + 540) % 360 - 180);
            // -
            cameraTransform.rx.setAngle(((cameraTransform.rx.getAngle() - mouseDeltaY * modifierFactor * modifier * 2.0) % 360 + 540) % 360 - 180);
        } else if (me.isSecondaryButtonDown()) {
            double z = camera.getTranslateZ();
            double newZ = z + mouseDeltaX * modifierFactor * modifier;
            camera.setTranslateZ(newZ);
        } else if (me.isMiddleButtonDown()) {
            // -
            cameraTransform.t.setX(cameraTransform.t.getX() + mouseDeltaX * modifierFactor * modifier * 0.3);
            // -
            cameraTransform.t.setY(cameraTransform.t.getY() + mouseDeltaY * modifierFactor * modifier * 0.3);
        }
    });
    primaryStage.setTitle("F(X)yz - Cuboid Test");
    primaryStage.setScene(scene);
    primaryStage.show();
    OBJWriter writer = new OBJWriter((TriangleMesh) cuboid.getMesh(), "cuboid");
    // writer.setMaterialColor(Color.AQUA);
    // writer.setTextureImage(getClass().getResource("res/netCuboid.png").toExternalForm());
    writer.setTextureColors(256 * 256);
    writer.exportMesh();
}

Example 39 with Point3D

use of org.fxyz.geometry.Point3D in project FXyzLib by Birdasaur.

the class BezierTest method start.

@Override
public void start(Stage primaryStage) throws Exception {
    Group sceneRoot = new Group();
    Scene scene = new Scene(sceneRoot, sceneWidth, sceneHeight, true, SceneAntialiasing.BALANCED);
    scene.setFill(Color.BLACK);
    camera = new PerspectiveCamera(true);
    // setup camera transform for rotational support
    cameraTransform.setTranslate(0, 0, 0);
    cameraTransform.getChildren().add(camera);
    camera.setNearClip(0.1);
    camera.setFarClip(10000.0);
    camera.setTranslateZ(-10);
    cameraTransform.ry.setAngle(-45.0);
    cameraTransform.rx.setAngle(-10.0);
    // add a Point Light for better viewing of the grid coordinate system
    PointLight light = new PointLight(Color.WHITE);
    cameraTransform.getChildren().add(light);
    cameraTransform.getChildren().add(new AmbientLight(Color.WHITE));
    light.setTranslateX(camera.getTranslateX());
    light.setTranslateY(camera.getTranslateY());
    light.setTranslateZ(camera.getTranslateZ());
    scene.setCamera(camera);
    rotateY = new Rotate(0, 0, 0, 0, Rotate.Y_AXIS);
    Group group = new Group();
    group.getChildren().add(cameraTransform);
    // List<Point3D> knots=Arrays.asList(new Point3D(0f,0f,0f),new Point3D(3f,0f,2f),
    // new Point3D(5f,2f,3f),new Point3D(7f,-3f,0f),new Point3D(6f,-1f,-4f));
    List<Point3D> knots = Arrays.asList(new Point3D(3f, 0f, 0f), new Point3D(0.77171f, 1.68981f, 0.989821f), new Point3D(-0.681387f, 0.786363f, -0.281733f), new Point3D(-2.31757f, -0.680501f, -0.909632f), new Point3D(-0.404353f, -2.81233f, 0.540641f), new Point3D(1.1316f, -0.727237f, 0.75575f), new Point3D(1.1316f, 0.727237f, -0.75575f), new Point3D(-0.404353f, 2.81233f, -0.540641f), new Point3D(-2.31757f, 0.680501f, 0.909632f), new Point3D(-0.681387f, -0.786363f, 0.281733f), new Point3D(0.77171f, -1.68981f, -0.989821f), new Point3D(3f, 0f, 0f));
    boolean showControlPoints = true;
    boolean showKnots = true;
    InterpolateBezier interpolate = new InterpolateBezier(knots);
    beziers = new ArrayList<>();
    AtomicInteger sp = new AtomicInteger();
    if (showKnots || showControlPoints) {
        interpolate.getSplines().forEach(spline -> {
            Point3D k0 = spline.getPoints().get(0);
            Point3D k1 = spline.getPoints().get(1);
            Point3D k2 = spline.getPoints().get(2);
            Point3D k3 = spline.getPoints().get(3);
            if (showKnots) {
                Sphere s = new Sphere(0.2d);
                s.getTransforms().add(new Translate(k0.x, k0.y, k0.z));
                s.setMaterial(new PhongMaterial(Color.GREENYELLOW));
                group.getChildren().add(s);
                s = new Sphere(0.2d);
                s.getTransforms().add(new Translate(k3.x, k3.y, k3.z));
                s.setMaterial(new PhongMaterial(Color.GREENYELLOW));
                group.getChildren().add(s);
            }
            if (showControlPoints) {
                PrismMesh c = new PrismMesh(0.03d, 1d, 1, k0, k1);
                c.setTextureModeNone(Color.GREEN);
                group.getChildren().add(c);
                c = new PrismMesh(0.03d, 1d, 1, k1, k2);
                c.setTextureModeNone(Color.GREEN);
                group.getChildren().add(c);
                c = new PrismMesh(0.03d, 1d, 1, k2, k3);
                c.setTextureModeNone(Color.GREEN);
                group.getChildren().add(c);
                Sphere s = new Sphere(0.1d);
                s.getTransforms().add(new Translate(k1.x, k1.y, k1.z));
                s.setMaterial(new PhongMaterial(Color.RED));
                group.getChildren().add(s);
                s = new Sphere(0.1d);
                s.getTransforms().add(new Translate(k2.x, k2.y, k2.z));
                s.setMaterial(new PhongMaterial(Color.RED));
                group.getChildren().add(s);
            }
        });
    }
    long time = System.currentTimeMillis();
    interpolate.getSplines().stream().forEach(spline -> {
        BezierMesh bezier = new BezierMesh(spline, 0.1d, 300, 20, 0, 0);
        // bezier.setDrawMode(DrawMode.LINE);
        // bezier.setCullFace(CullFace.NONE);
        // bezier.setSectionType(SectionType.TRIANGLE);
        // NONE
        // bezier.setTextureModeNone(Color.hsb(360d*sp.getAndIncrement()/interpolate.getSplines().size(), 1, 1));
        // IMAGE
        // bezier.setTextureModeImage(getClass().getResource("res/LaminateSteel.jpg").toExternalForm());
        // PATTERN
        // bezier.setTextureModePattern(3d);
        // FUNCTION
        bezier.setTextureModeVertices1D(1530, t -> spline.getKappa(t.doubleValue()));
        // bezier.setTextureModeVertices1D(1530,func);
        // DENSITY
        // bezier.setTextureModeVertices3D(256*256,dens);
        // FACES
        // bezier.setTextureModeFaces(256*256);
        bezier.getTransforms().addAll(new Rotate(0, Rotate.X_AXIS), rotateY);
        beziers.add(bezier);
    });
    // 43.815->25.606->15
    System.out.println("time: " + (System.currentTimeMillis() - time));
    group.getChildren().addAll(beziers);
    sceneRoot.getChildren().addAll(group);
    // First person shooter keyboard movement
    scene.setOnKeyPressed(event -> {
        double change = 10.0;
        // Add shift modifier to simulate "Running Speed"
        if (event.isShiftDown()) {
            change = 50.0;
        }
        // What key did the user press?
        KeyCode keycode = event.getCode();
        // Step 2c: Add Zoom controls
        if (keycode == KeyCode.W) {
            camera.setTranslateZ(camera.getTranslateZ() + change);
        }
        if (keycode == KeyCode.S) {
            camera.setTranslateZ(camera.getTranslateZ() - change);
        }
        // Step 2d:  Add Strafe controls
        if (keycode == KeyCode.A) {
            camera.setTranslateX(camera.getTranslateX() - change);
        }
        if (keycode == KeyCode.D) {
            camera.setTranslateX(camera.getTranslateX() + change);
        }
    });
    scene.setOnMousePressed((MouseEvent me) -> {
        mousePosX = me.getSceneX();
        mousePosY = me.getSceneY();
        mouseOldX = me.getSceneX();
        mouseOldY = me.getSceneY();
    });
    scene.setOnMouseDragged((MouseEvent me) -> {
        mouseOldX = mousePosX;
        mouseOldY = mousePosY;
        mousePosX = me.getSceneX();
        mousePosY = me.getSceneY();
        mouseDeltaX = (mousePosX - mouseOldX);
        mouseDeltaY = (mousePosY - mouseOldY);
        double modifier = 10.0;
        double modifierFactor = 0.1;
        if (me.isControlDown()) {
            modifier = 0.1;
        }
        if (me.isShiftDown()) {
            modifier = 50.0;
        }
        if (me.isPrimaryButtonDown()) {
            // +
            cameraTransform.ry.setAngle(((cameraTransform.ry.getAngle() + mouseDeltaX * modifierFactor * modifier * 2.0) % 360 + 540) % 360 - 180);
            // -
            cameraTransform.rx.setAngle(((cameraTransform.rx.getAngle() - mouseDeltaY * modifierFactor * modifier * 2.0) % 360 + 540) % 360 - 180);
        } else if (me.isSecondaryButtonDown()) {
            double z = camera.getTranslateZ();
            double newZ = z + mouseDeltaX * modifierFactor * modifier;
            camera.setTranslateZ(newZ);
        } else if (me.isMiddleButtonDown()) {
            // -
            cameraTransform.t.setX(cameraTransform.t.getX() + mouseDeltaX * modifierFactor * modifier * 0.3);
            // -
            cameraTransform.t.setY(cameraTransform.t.getY() + mouseDeltaY * modifierFactor * modifier * 0.3);
        }
    });
    lastEffect = System.nanoTime();
    AtomicInteger count = new AtomicInteger();
    AnimationTimer timerEffect = new AnimationTimer() {

        @Override
        public void handle(long now) {
            if (now > lastEffect + 1_000_000_000l) {
                // Point3D loc = knot.getPositionAt((count.get()%100)*2d*Math.PI/100d);
                // Point3D dir = knot.getTangentAt((count.get()%100)*2d*Math.PI/100d);
                // cameraTransform.t.setX(loc.x);
                // cameraTransform.t.setY(loc.y);
                // cameraTransform.t.setZ(-loc.z);
                // javafx.geometry.Point3D axis = cameraTransform.rx.getAxis();
                // javafx.geometry.Point3D cross = axis.crossProduct(-dir.x,-dir.y,-dir.z);
                // double angle = axis.angle(-dir.x,-dir.y,-dir.z);
                // cameraTransform.rx.setAngle(angle);
                // cameraTransform.rx.setAxis(new javafx.geometry.Point3D(cross.getX(),-cross.getY(),cross.getZ()));
                // dens = p->(float)(p.x*Math.cos(count.get()%100d*2d*Math.PI/50d)+p.y*Math.sin(count.get()%100d*2d*Math.PI/50d));
                func = t -> Math.pow(t.doubleValue(), (count.get() % 5d));
                beziers.forEach(b -> b.setFunction(func));
                // knot.setP(1+(count.get()%5));
                // knot.setQ(2+(count.get()%15));
                // if(count.get()%100<50){
                // knot.setDrawMode(DrawMode.LINE);
                // } else {
                // knot.setDrawMode(DrawMode.FILL);
                // }
                // beziers.forEach(b->b.setColors((int)Math.pow(2,count.get()%16)));
                // beziers.forEach(b->b.setWireRadius(0.1d+(count.get()%6)/10d));
                // beziers.forEach(b->b.setPatternScale(1d+(count.get()%10)*3d));
                // beziers.forEach(b->b.setSectionType(SectionType.values()[count.get()%SectionType.values().length]));
                count.getAndIncrement();
                lastEffect = now;
            }
        }
    };
    primaryStage.setTitle("F(X)yz - Bezier Splines");
    primaryStage.setScene(scene);
    primaryStage.show();
    timerEffect.start();
}

Example 40 with Point3D

use of org.fxyz.geometry.Point3D in project FXyzLib by Birdasaur.

the class ScatterPlotMesh method setXYZData.

public void setXYZData(ArrayList<Double> xData, ArrayList<Double> yData, ArrayList<Double> zData) {
    xAxisData = xData;
    yAxisData = yData;
    zAxisData = zData;
    getChildren().clear();
    // for now we will always default to x axis
    // later we could maybe dynamically determine the smallest axis and then
    // uses 0's for the other axes that are larger.
    ArrayList<Point3D> point3DList = new ArrayList<>();
    for (int i = 0; i < xAxisData.size(); i++) {
        // some safety checks for array sizes
        double translateY = 0.0;
        double translateZ = 0.0;
        if (!yAxisData.isEmpty() && yAxisData.size() > i)
            translateY = yAxisData.get(i);
        if (!zAxisData.isEmpty() && zAxisData.size() > i)
            translateZ = zAxisData.get(i);
        setTranslateX(xAxisData.get(i));
        // Convert to Floats and build list of adjusted points
        point3DList.add(new Point3D(new Float(xAxisData.get(i)), new Float(translateY), new Float(translateZ)));
        float width = 1;
        final TriangleMesh mesh = new TriangleMesh();
        // This extra point allows us to build triangles later
        for (Point3D point : point3DList) {
            // Rear points
            // top right rear point
            mesh.getPoints().addAll(point.x + width, point.y + width, point.z + width);
            // top left rear point
            mesh.getPoints().addAll(point.x - width, point.y + width, point.z + width);
            // bottom right rear point
            mesh.getPoints().addAll(point.x + width, point.y - width, point.z + width);
            // bottom left rear point
            mesh.getPoints().addAll(point.x - width, point.y - width, point.z + width);
            // Front points
            // top right front point
            mesh.getPoints().addAll(point.x + width, point.y + width, point.z - width);
            // top left front point
            mesh.getPoints().addAll(point.x - width, point.y + width, point.z - width);
            // bottom right front point
            mesh.getPoints().addAll(point.x + width, point.y - width, point.z - width);
            // bottom left front point
            mesh.getPoints().addAll(point.x - width, point.y - width, point.z - width);
        }
        // add dummy Texture Coordinate
        mesh.getTexCoords().addAll(0, 0);
        // Now generate nodes for each point
        for (int p = 8; p < point3DList.size() * 7; p += 8) {
            // add each segment
            // Wind the next 8 vertices as a cube.  The cube itself will represent the data
            // Vertices wound counter-clockwise which is the default front face of any Triangle
            // Rear triangle faces should be wound clockwise to face away from center
            // TRR,BLR,BRR
            mesh.getFaces().addAll(p, 0, p + 3, 0, p + 2, 0);
            // BLR,TRR,TLR
            mesh.getFaces().addAll(p + 3, 0, p, 0, p + 1, 0);
            // left side faces
            // TLR,TLF,BLR
            mesh.getFaces().addAll(p + 1, 0, p + 5, 0, p + 3, 0);
            // TLF,BLR,BLF
            mesh.getFaces().addAll(p + 5, 0, p + 7, 0, p + 3, 0);
            // front side faces
            // TLF,BLF,TLR
            mesh.getFaces().addAll(p + 5, 0, p + 7, 0, p + 4, 0);
            // TRF,BLF,BRF
            mesh.getFaces().addAll(p + 4, 0, p + 7, 0, p + 6, 0);
            // front side faces
            // TRF,BRF,BRR
            mesh.getFaces().addAll(p + 4, 0, p + 6, 0, p + 2, 0);
            // TRF,BRR,TRR
            mesh.getFaces().addAll(p + 4, 0, p + 2, 0, p, 0);
            // Top faces
            // TRR,TLR,TRF
            mesh.getFaces().addAll(p, 0, p + 1, 0, p + 3, 0);
            // TLR,TLF,TRF
            mesh.getFaces().addAll(p + 1, 0, p + 5, 0, p + 3, 0);
            // bottom faces
            // BLR,BLF,BRF
            mesh.getFaces().addAll(p + 3, 0, p + 7, 0, p + 6, 0);
            // BLR,BRF,BRR
            mesh.getFaces().addAll(p + 3, 0, p + 6, 0, p + 2, 0);
        }
        // Need to add the mesh to a MeshView before adding to our 3D scene
        MeshView meshView = new MeshView(mesh);
        // Fill so that the line shows width
        meshView.setDrawMode(DrawMode.FILL);
        Color hsb = Color.hsb((new Double(i) / 12) * 360, 1.0, 1.0, 0.5);
        PhongMaterial material = new PhongMaterial(hsb);
        material.setDiffuseColor(hsb);
        material.setSpecularColor(hsb);
        meshView.setMaterial(material);
        // Make sure you Cull the Back so that no black shows through
        meshView.setCullFace(CullFace.BACK);
        // //Add some ambient light so folks can see it
        // Group line = new Group();
        // AmbientLight light = new AmbientLight(Color.WHITE);
        // light.getScope().add(meshView);
        // line.getChildren().add(light);
        // line.getChildren().add(meshView);
        getChildren().addAll(meshView);
    }
}