M. Pilu, A. Fitzgibbon, R.Fisher
Direct least-square Fitting
IEEE International Conference on Image Processing, Lausanne, September
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.
Note : For reasons of space, in the publication the
literature review, the experiments and discussion have been
considerably shortened. Refer to
DAI Research Paper #794 for further information.
PS: The latex2html translation of the document has been a bit dodgy.
Wed Jul 17 18:33:56 BST 1996