## waves

I was looking at the waves resulting from stones thrown into a lake. This made me think of an anamorphosis, that simulates these troubled reflections.

It is actually quite simple. The center of the coordinate system is in the middle. That’s the point where the wave starts. Then, for the pixel at coordinates x and y one calculates the distance r from the center. The points are then shifted in radial direction depending on the value of the wave function f(r)=sin(k*r)/r, where k determines how fast the wave wiggles. Then I impose hexagonal symmetry by using mirrors at angles of 30 degrees and use an input image with saturated colors as discussed in the earlier post “colorz“.

These are same typical results:

The last picture resulted from a photo that is slightly out of focus. This makes it resemble a pastel painting.

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