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Least square ellipsoid fitting using iterative orthogonal transformations

Author

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  • Reza, Amit
  • Sengupta, Anand S.

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.

Suggested Citation

  • Reza, Amit & Sengupta, Anand S., 2017. "Least square ellipsoid fitting using iterative orthogonal transformations," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 349-359.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:349-359
    DOI: 10.1016/j.amc.2017.07.025
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