Direct least squares fitting of ellipses

@article{Fitzgibbon1996DirectLS,
  title={Direct least squares fitting of ellipses},
  author={Andrew W. Fitzgibbon and Maurizio Pilu and Robert B. Fisher},
  journal={Proceedings of 13th International Conference on Pattern Recognition},
  year={1996},
  volume={1},
  pages={253-257 vol.1}
}
This paper presents a new efficient method for fitting ellipses to scattered data. Previous algorithms either fitted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac-b/sup 2/=1 the new method incorporates the ellipticity constraint into the normalization factor. The new method combines several advantages: 1) it is ellipse-specific so that even bad data will always return an ellipse; 2) it can be solved naturally by a… 

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