I used 4d Simplex Noise, indexed by a point's position and the current time. In 2d, the noise looked like this:
For funsies, I applied a sobel filter to that image, which looked like this:
I dynamically chose level of detail for tessellating a cube using distance from the camera, which produced:
Then used the noise function to perturb those points. It looked like this:
For post-processing, I used that same Sobel filter, with a really high sensitivity, to get this: