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An improved ellipsoid fitting algorithm using iterative random projections

Abstract · Apr 17, 2017 05:44 ·

ellipsoidal projection ellipsoid projected fitting ellipsoids ellipses orthographic gandhinagar projections cs-cv

Arxiv Abstract

  • Amit Reza
  • Anand S. Sengupta

A generalized method for ellipsoid fitting against a minimum set of data points is described. 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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