Is the Best Fitting Curve Always Unique?

Is the Best Fitting Curve Always Unique?
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DOI:
10.1155/2013/753981
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发表时间:
2013-01-01
影响因子:
1.4
通讯作者:
Ma, H.
Ma, H.
中科院分区:
数学4区
文献类型:
--
作者:
Chernov, N.;Huang, Q.;Ma, H.

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将直线和简单的曲线对象(圆、椭圆等)拟合到观察到的数据点是计算机视觉和现代统计学(变量回归中的误差)的基本任务。我们在之前的论文中研究了最佳拟合的存在性问题(见Chernov et al.(2012))。这里我们处理最优拟合的唯一性问题。
Fitting straight lines and simple curved objects (circles, ellipses, etc.) to observed data points is a basic task in computer vision and modern statistics (errors in variables regression). We have investigated the problem of existence of the best fit in our previous paper (see Chernov et al. (2012)). Here we deal with the issue of uniqueness of the best fit.