As discussed in “Synthesizing quasiperiodic tilings“, I have used sinusoidal waves to generate quasiperiodic designs. There you can see a decoration of the Ammann-Beenker tiling based on two different wave functions of eight-fold rotational symmetry. One of them controls the green color and the other magenta. They could be used differently.
Here I am using the two wave functions as x and y coordinates to define an anamorphosis. Thus they determine the pixel to look up in an input image. The resulting images are often rather abstract. Sometimes you can recognize details. An example: