Cramer-Rao Lower Bounds for Curve Fitting
Cramer-Rao Lower Bounds for Curve Fitting
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曲线拟合的 Cramer-Rao 下界
DOI：
10.1006/gmip.1998.0466
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
K. Kanatani
中科院分区：
文献类型：
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作者：
K. Kanatani
本文指出Chan和Thomas(Graphical Models Image Process.57,1995,527-532)导出的估计圆弧中心及其半径的Cramer-Rao下界存在一些问题，尽管最后的结果是正确的。仔细检查问题的数学结构，我们首先纠正他们的错误，然后给出一个适合问题的公式。我们的结果可以推广到更一般的问题，包括直线和二次曲线拟合。
Abstract We point out that the derivation of the Cramer–Rao lower bound for estimating a circular arc center and its radius by Chan and Thomas (Graphical Models Image Process.57, 1995, 527–532) has some problems although the final result is correct. Examining the mathematical structure of the problem carefully, we first correct their mistakes and then present a suitable formulation for the problem. We show that the result can be extended to more general problems including line and conic fitting.