## processing phaseflower

Since I haven't used Processing in a while, I dusted of my processing installation (and upgraded it to the latest version) and started to make some animations. I wanted to create an animation that morphes between random states of a parameterset over a random time periode, then stay at that state for some time and repeat ad infinitum. I implemented a similar state morphing system for a fractal in ronin a while ago and wanted to port it to processing. what could go wrong - right?

The base sketch I wanted to morph was a flower like shape that uses polar coordinates to modulate the radius of a bunch of small circles that are placed in a circle. Each target state that is held for some time should be a whole number multiple of the radius so that the modulations fit on a circle wihout jumps.

I implemented the drawing function and a first very simple state morphing system that is a direct port from my ronin sketch. There I simply interpolate between two states of a parameter over a given time

p = p1 + currenttime(p2 - p1)/periode

well that worked ok for the fractal curves i used id for in my last sketch, but since I used it here to do some modulations on a circular shape using polar coordinates the shape started to look really ugly when my parameter had some inbetween states that results in a fractual number. Hrmpf.

so back to the drawing board. Directly morphing the parameters and then calculating the position of the circles didn't work as expected.

After some experimenting I ended up at linear interpolation of the resulting circle positions that are calculated from the parametersets instead of morphing the paramters themslef. This way i can always use whole numbers as start and end values for a transition and no inbetween states that result in hard jumps are generated

lessions learned: simply morphing between states by blending parameters is fine in cartesian space - but results in wired transitions when polar coordinates or rotations are involved.

If you want to experiment with my state changing phase flower you can run it here.