Numerically Stable Direct Least Squares Fitting of Ellipses

This paper presents a numerically stable non-iterative algorithm for fit ting an ellipse to a set of data points. The approach is based on a least squares minimization and it guarantees an ellipsespecific solution even for scattered or noisy data. The optimal solution is computed directly, n o iterations are required. This leads to a simple, stable and robust fitting method which can be easily implement d. The proposed algorithm has no computational ambiguity and it is able to fit more than 100,000 poin ts in a second.

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