  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.
