Generating random shapes

[appel]

Hello,

I'm trying to make a game for the 4k competition, and what I want to do is to generate a random shape object that I can then fill with whatever.

I do have some java classes that can generate a random shape, but they are all huge. Is there any way of generating a random shaped object with a very few lines of code?

The shape needs to be pretty smooth, and edges curved.

Example (what I did in photoshop):

[swpalmer]

The first thing that comes to mind is to use polar coordinates to sweep around a circle in 3--10 steps but vary the radius by a random amount.  Use a GeneralPath and "curveTo" to get it smoothed out.

[appel]

Ahh....sounds like a good idea.

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[Ask_Hjorth_Larsen]

You can generate quite nice results automatically by simply plotting a fourier series over its entire period, i.e.

1   2   3   4   5   6   7

N                -----                 \    /r1(n) cos(n t)   r2(n) sin(n t)\                  )   |-------------- + --------------|                 /    |          2                2   |                ----- \   (n + 1)          (n + 1)    /                n = 0

plotted from t = 0..2 pi in polar coordinates.

The (n+1)^2 in the denominators have been selected to increase the smoothness of the graph (so violently oscillating terms have small impact).

[Ask_Hjorth_Larsen]

Oh, the r1(n) and r2(n) are meant to be random numbers between 0 and 1.

[appel]

Thank you, that will come in handy