title: Bounding ellipse
body: <p>I have been given an assignement for a graphics module, one part of which is to calculate the minimum bounding ellipse of a set of arbitrary shapes. The ellipse doesn't have to be axis aligned.</p>
  
  <p>This is working in java (euch) using the AWT shapes, so I can use all the tools shape provides for checking containment/intersection of objects.</p>