Least square ellipsoid fitting using iterative orthogonal transformations
Computer Vision and Pattern Recognition
2017-07-26 v3
Abstract
We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented ellipsoids. This new method also provides for the retrieval of rotational angle and length of semi-axes of the fitted ellipsoids accurately. We demonstrate the efficacy of this algorithm on simulated data sets and also indicate its potential use in gravitational wave data analysis.
Cite
@article{arxiv.1704.04877,
title = {Least square ellipsoid fitting using iterative orthogonal transformations},
author = {Amit Reza and Anand S. Sengupta},
journal= {arXiv preprint arXiv:1704.04877},
year = {2017}
}
Comments
Submitted to Applied Mathematics and Computation (Elsevier)