NURBS( Non-Uniform Rational B-Splines ) curve rendering engine.

NURBSEditor.java is the Java GUI that looks like this:

NURBSSurface.java holds the construction algorithm for the 2D basis functions.( They're like 3D sinusoids( with two parameters ) but unlike sinusoids, the definition for the NURBS basis is such that they're fundamentally local in nature which is a much nicer function for designers to work with.

For example: an order 3 NURBS surface plotted with 1600 samples ( 40x40 )

Note that the distortion on the corners have whatsoever no effect beyond the neighbouring control points.

For better clarity, see the order 2 surface which is basically linear in nature.

The bases in this case don't even affect the neighbouring points.

Similarly the other extreme ( order 7 ) affects all the points in this case and upto 6 waves of neighbouring points in the general case.

the GUI supports an increase in the sample size.. 10000 samples( 100x100 )

Check out some of my other projects here: OpenCL path trapcer: https://github.com/SaipraveenB/opencl-path-tracer.git OpenGL HDR example: https://github.com/SaipraveenB/opengl-hdr.git