Reza, AmitAmitRezaSengupta, Anand S.Anand S.Sengupta2025-08-302025-08-302017-12-0110.1016/j.amc.2017.07.0252-s2.0-85025707767http://repository.iitgn.ac.in/handle/IITG2025/22341We 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.falseAlgebraic distance | Ellipsoids | Least squares approximations | Nonlinear equation | Pattern recognition | Surface fittingArticlehttps://arxiv.org/pdf/1704.04877349-3591 December 201717arJournal15