Q:

Convert polygon to ellipse

Background:
I have a set of point which I run through a convex hull algorithm, these points returned are then drawn as a polygon on the screen.
Aim:
I want to "smooth" out the polygon into an ellipse/oval like shape.
Is there a simple way to do this or is there an algorithm for this?
Thanks in advance.

A:

Got something that works...
Because I am drawing a polygon from a set of points, the width/height/bounds are not set correctly (always 0, not sure if its my fault or not?), however, I do have the points that make up the polygon. 
What I decided to do was loop through the points getting the left most x, right most x, top most y and bottom most y. This then allows me to work out the width, height and position to draw the ellipse at.
The result is this:

Thanks to Clemens for the help :)
If there is a better way of doing this please let me know.

