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Author(s):
Kleinsteuber, Martin; Hüper, Knut 
Title:
Approximate Geometric Ellipsoid Fitting: A CG-Approach 
Pages contribution:
73-82 
Abstract:
The problem of geometric ellipsoid fitting is considered. In connection with a conjugate gradient procedure a suitable approximation for the Euclidean distance of a point to an ellipsoid is used to calculate the fitting parameters. The approach we follow here ensures optimization over the set of all ellipsoids with codimension one rather than allowing for different conics as well. The distance function is analyzed in some detail and a numerical example supports our theoretical considerations. 
Editor:
Diehl, Moritz; Glineur, Francois; Jarlebring, Elias; Michiels, Wim 
Book title:
Recent Advances in Optimization and its Applications in Engineering 
Publisher:
Springer Berlin Heidelberg 
Year:
2010 
Notes:
10.1007/978-3-642-12598-0_7