基于迭代正交变换的最小二乘椭球拟合
Least square ellipsoid fitting using iterative orthogonal transformations
摘要：
我们描述了一个广义的方法椭球拟合对最小的一组数据点。所提出的方法是数值稳定的，适用于广泛的椭球形状，包括高度细长和任意取向的椭球。该方法还可以精确地反演拟合椭球的旋转角和半轴长度。我们证明了这种算法的有效性模拟数据集，也表明其潜在的使用引力波数据分析。
英文摘要：
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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