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OALib Journal期刊
ISSN: 2333-9721
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Using least-square orthogonal distance method to fit double concentric elliptical arcs
用最小二乘正交距离方法拟合双同心椭圆弧

Keywords: ellipse fitting,geometric fitting,nonlinear least squares
椭圆拟合
,几何拟合,非线性最小二乘

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Abstract:

This paper presented a least-square orthogonal distance fitting method for double concentric fragmental ellipses. In the method, used the orthogonal distances between the given points and the fitting ellipse to evaluate the fitting error, and de-duced the least-square equations therefore solved eight geometric parameters from the equations by iteration method. Experi-mental results show that the larger radian, the closer length of two axis and the lower noise of samples will make the algorithm is more accurate and stable. In addition, the method can be easily extended to solve the fitting problem of several concentric elliptical arcs.

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