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We are currently dealing with the problem of:
How to find an ellipse circumscribing a convex polygon?
Recent googling and lots of reading could not help me so much :(
enter image description here

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You mean how to find the smallest ellipse inscribing a convex polygon? – julien Mar 30 '12 at 11:22
@julien Correct. Indeed the smallest and optimum ellipse inscribing a convex polygon. – Developer Mar 30 '12 at 14:06
up vote 8 down vote accepted

An algorithm for your problem is described here. You may be interested by its implementation in CGAL.

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+1. Note that the solution does not require the polygon to be convex. – whuber Mar 30 '12 at 14:27

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