How can I generate a set of points evenly distributed along the perimeter of an ellipse?

Question

If I want to generate a bunch of points distributed uniformly around a circle, I can do this (python):

r = 5  #rad         


        

Answer 1

You have to calculate the perimeter, then divide it into equal length arcs. The length of an arc of an ellipse is an elliptic integral and cannot be written in closed form so you need numerical computation.

The article on ellipses on wolfram gives you the formula needed to do this, but this is going to be ugly.