Several enclosing circles are possible for a given set of N 2D points. I am only talking about enclosing circles having 3 or more points on the circumference. What is the asymptotic limit of the total number of distinct enclosing circles having 3 or more points on the circumference. The naive bound is $O(n^3)$ but tighter bound should exist.
And also how to generate all such enclosing circles?