generating periodic caustics pattern in space and time
random (fractal) surface profile by filtering three-dimensional noise by a power law-like filter in space and a Gaussian-like filter in time
- random height field generation based on frequency synthesis
- create a random noise signal
- apply the fast Fourier transform to transfer the data into the frequency domain and apply the 1/f filter
- transform it back to the spatial domain with an inverse fast Fourier transform
- smoothing in time with Gaussian filter
- projection of the resulting surface to the ground plane – assuming directional light source pointing at this surface, computation of the intersection of the refracted rays with a plane at some depth – visualization with additive blending, triangle intensity is inversely proportional to the area of the projected triangle
