Least square ellipsoid fitting using iterative orthogonal transformations
This incremental improvement addresses ellipsoid fitting for applications like gravitational wave data analysis.
The paper tackles the problem of fitting ellipsoids to a minimal set of data points, resulting in a numerically stable method that accurately retrieves rotational angles and semi-axis lengths, including for highly elongated and arbitrarily oriented ellipsoids.
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.