The authors reproduce, in coordinate-free form, an almost analytic solution for cylindrical regression under a biquadratic error measure.
Least square ellipsoid fitting using iterative orthogonal transformations
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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.
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2019 1verdicts
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On cylindrical regression in three-dimensional Euclidean space
The authors reproduce, in coordinate-free form, an almost analytic solution for cylindrical regression under a biquadratic error measure.