M. Pilu, A. Fitzgibbon, R.Fisher
Ellipse-specific
Direct least-square Fitting
IEEE International Conference on Image Processing, Lausanne, September
1996.
Abstract:
This work presents the first direct method for
specifically fitting ellipses in the least squares sense. Previous
approaches used either generic conic fitting or relied on iterative
methods to recover elliptic solutions. The proposed method is (i)
ellipse-specific, (ii) directly solved by a generalised eigen-system,
(iii) has a desirable low-eccentricity bias, and (iv) is robust to
noise. We provide a theoretical demonstration, several examples and
the Matlab coding of the algorithm.