Least square ellipsoid fitting using iterative orthogonal transformations

Amit Reza and Anand S. Sengupta

Applied Mathematics and Computation, 2017, vol. 314, issue C, 349-359

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.

Keywords: Least squares approximations; Surface fitting; Algebraic distance; Ellipsoids; Nonlinear equation; Pattern recognition (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:349-359

DOI: 10.1016/j.amc.2017.07.025

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