|Author||Reza, Amit ♦ Sengupta, Anand|
|Subject Keyword||Surface fitting ♦ Nonlinear Equation ♦ Least squares approximation ♦ Algebraic distance ♦ Pattern recognition ♦ Ellipsoids|
|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.|
|Learning Resource Type||Article|
|Journal||Applied Mathematics and Computation|
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