Least square ellipsoid fitting using iterative orthogonal transformations

被引：11
|
作者：
Reza, Amit [1 ]
Sengupta, Anand S. [1 ]
机构：
[1] Indian Inst Technol Gandhinagar, Gandhinagar 382355, Gujarat, India
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 314卷
关键词：
Least squares approximations; Surface fitting; Algebraic distance; Ellipsoids; Nonlinear equation; Pattern recognition; GRAVITATIONAL-WAVES; CHOICE;
D O I：
10.1016/j.amc.2017.07.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：349 / 359
页数：11
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