GLSL/Marching Cubes Reaction Diffusion

Here's another project that started as a fairly simple assignment that I chose to augment in numerous directions to learn more advanced techniques. In this case, the assignment was to implement Reaction-Diffusion in 2D using a couple of different integrators (Forward Euler, Backward Euler, ADI). I had already done this by the time I took this class, as a week-long project while I was pursuing my undergraduate Research Assistanceship with Greg Turk, who also taught this class, so I chose to augment the assignment a bit.

First, I coded the base 2D Reaction Diffusion algorithm on a shader, which proved trivially easy to implement, and easy to modify with a 3D stencil for 3D. Then I coded the Marching Cubes algorithm and implemented the shader-based algorithm for RD for a 3D space, using a concentration threshold to render a particular concentration contour surface in 3D.

Below are some videos of the 2D and 3D reaction diffusion system :

2D CPU ADI Method Spots

2D CPU Pure Implicit Method Stripes

2D Shader Parameter Map Control Parameters are varied along x and y axes, to display various patterns possible with different configurations.

3D Shader/Multi-threaded Marching Cubes Stripes. All the 3D methods solved the reaction diffusion equation on a fragment shader.

3D Shader/Multi-threaded Marching Cubes Stable.By tweaking the parameters as the simulation ran, I was able to get it to settle on a stable configuration.

3D Shader/Multi-threaded Marching Cubes Oscillation.Again, by tweaking params, and modifying the MC contour threshold, the simulation settled into an oscilating state that was fairly resistant to modifications of the control parameters.

3D Shader/Multi-threaded Marching Cubes Parameter Map.The two controlling parameters of the partial differential equations used to derive the RD results are varied positionally, along the x and y (vertical) axes.