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After a lot of effort I developed the following function to compute the bounding ellipse (also known a as minimum volume enclosing ellipsoid) for any set of points. This script is limited to two dimensions, but I believe with minor modification the algorithm should work for 3 or more dimensions. It seems to work well (although I don't know if can be optimized to run faster) and

The mvee() function is intended to be released under the BSD license. Copyright (c) 2009, Nima Moshtagh Copyright (c) 2011, Andy Lyons All rights reserved. http://www.opensource.org/licenses/bsd-license.php Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: Redistributions of source code must