Direct least square fitting of ellipses |
| |
Authors: | Fitzgibbon A Pilu M Fisher RB |
| |
Affiliation: | Dept. of Sci. Eng., Oxford Univ.; |
| |
Abstract: | This work 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-b2=1, the new method incorporates the ellipticity constraint into the normalization factor. The proposed method combines several advantages: It is ellipse-specific, so that even bad data will always return an ellipse. It can be solved naturally by a generalized eigensystem. It is extremely robust, efficient, and easy to implement |
| |
Keywords: | |
|
|