在JavaFX中绘制3d表面

Question

How to draw 3d graphs in JavaFX using a mathematical equation, basically 2 variable functions, for example: z=2xy and other 3D figures?
Is there any way to do it in JavaFX or do I need another Java library for that.

Answer 1

As @Roland points out, JavaFX 3D API doesn't include other than the basic elements, like TriangleMesh , which you can use to create complex shapes, like 3D graphs.

In fact, plotting 2D functions f=f(x,y) is be a very good use case for understanding how TriangleMesh works.

Basically you will need:

A function

The function can be expressed using built-in Function functional interface:

Function<Point2D,Number> function2D;

so for any pair of coordinates (x,y) it will return a value:

double value = function2D.apply(new Point2D(x,y)).doubleValue();

Grid or range of coordinates

If you think of a rectangular grid and a given number of the divisions, you will have a way to get all the plotting (x,y) points, and with the function, you will have the third coordinate z to generate the 3D points required for the mesh.

TriangleMesh triangleMesh = new TriangleMesh();
triangleMesh.getPoints().setAll(x0,y0,z0, x1,y1,z1, ...);

You will need to provide the texture coordinates if you want to have an image or a density map as a texture, or just an empty set of coordinates for now:

triangleMesh.getTexCoords().setAll(0,0);

Finally, you need to provide the faces, which are triangles. You just need to get the indices of the vertices for every triangle in your grid, like in this sample , using 0 for the texture indices in this case:

triangleMesh.getFaces().setAll(0,0,20,0,21,0,...);

And you will have your mesh, ready to be rendered in a scene.

Third party libraries

You can have a look at FXyz library, where you will find SurfacePlotMesh , that will do exactly as described above, including texture coordinates. The FXyz Sampler is an application to visualize most of the possibilities on this library. This is a sample of a plotted function:

For other 3D shapes, have a look to the rest of the 3D complex shapes in the library.

And you can have a look to VRL Studio , which includes a great 3D function plotter, among other things.

Answer 2

I wrote a JavaFX demo application (embedded in swing) which can plot 3d points. You can create/calculate some 3d points with your function and than just draw it. Check out the StarterFrame class, where the points are generated. More points means a more detailed plot. Maybe this helps you to write something on your own. Otherwise i would recommend a library.

https://github.com/adihubba/javafx-3d-surface-chart

Answer 3

JavaFX doesn't have a built-in mechanism to draw 3d graphs. You have to use a 3rd party library.