Document Type
Conference Paper
Rights
Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence
Disciplines
Applied mathematics, Computer Sciences, Electrical and electronic engineering
Abstract
Many biological and astronomical forms can be best represented by ellipses. While some more complex curves might represent the shape more accurately, ellipses have the advantage that they are easily parameterised and define the location, orientation and dimensions of the data more clearly. In this paper, we present a method of direct least-squares ellipse fitting by solving a generalised eigensystem. This is more efficient and more accurate than many alternative approaches to the ellipse-fitting problem such as fuzzy c-shells clustering and Hough transforms. This method was developed for human body modelling as part of a larger project to design a marker-free gait analysis system which is being undertaken at the National Rehabilitation Hospital, Dublin.
Recommended Citation
Courtney, A., De Paor, A. (2004) Direct Least-Squares Ellipse Fitting. 7th IASTED International Conference on Computer Graphics and Imaging, Hawaii, USA, 17-19 August.
Included in
Applied Mathematics Commons, Biomedical Engineering and Bioengineering Commons, Computer Sciences Commons
Publication Details
7th IASTED International Conference on Computer Graphics and Imaging.