Robust Fitting of Ellipses and Spheroids

Details Robust Fitting of Ellipses and Spheroids Robust Fitting of Ellipses and Spheroids

2009-12-09

arxiv.org/abs/0912.1647v1

Statistics

Methodology

in proceeding of 43rd Asilomar Conference on Signals, Systems and Computers, Pacific Grove, California, 2009

Scientific paper

Ellipse and ellipsoid fitting has been extensively researched and widely applied. Although traditional fitting methods provide accurate estimation of ellipse parameters in the low-noise case, their performance is compromised when the noise level or the ellipse eccentricity are high. A series of robust fitting algorithms are proposed that perform well in high-noise, high-eccentricity ellipse/spheroid (a special class of ellipsoid) cases. The new algorithms are based on the geometric definition of an ellipse/spheroid, and improved using global statistical properties of the data. The efficacy of the new algorithms is demonstrated through simulations.

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