My program uses a lot of ellipsoid shaped polygons in 2 and 3 D. So far, I create them by the simple, well-known parametrization about two angles.
Now I'd like to have my ellipses a bit dented and distorted. Currently, I just need some sort of non-perfect ellipsoids, later I'd like to tune it to realisitic production defects. The ellipsoids should roughly look like they were drawn/modeled by a not-so-talented child or like they were made of thin aluminium and someone dented them with its fingers. So, the size of dents is roughly in the order of 1/10 to 1/5 of the ellipsoid size.
Are there any parametrizations to get distorted and dented ellipsoid? Or does this problem have a name to find literature about it?