A Proposal of Robust Gaussian Filter by Using Fast M-Estimation Method
A Proposal of Robust Gaussian Filter by Using Fast M-Estimation Method
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一种基于快速M估计方法的鲁棒高斯滤波器的提出
DOI：
10.2493/jjspe.76.684
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发表时间：
2010
影响因子：
--
通讯作者：
T. Nomura
中科院分区：
文献类型：
--
作者：
M. Numada;T. Fujiwara;T. Funahashi;H. Koshimizu;K. Kamiya;T. Nomura
用于从主轮廓中提取粗糙度轮廓的高斯滤波器受到数据中混合的异常值的严重影响。为了解决这个问题，已经提出了一些将该方法引入鲁棒高斯滤波器的研究。但由于大量的重复申请，计算成本变得很大。在本研究中，我们通过使用快速 M 估计方法提出了一种新的鲁棒且快速的方法。由于所提出的方法只需要多次重复应用矩形平滑滤波器，因此可以大大降低计算成本。该方法只需要解析计算，无需任何重复计算。此外，值得注意的是，在最终数据中不存在异常值的情况下，所提出的方法可以提供与原始高斯滤波方法完全相同的结果。
Gaussian filter to extract the roughness profile from a primary profile suffers strongly from the outliers mingled in the data. To solve this problem, several researches to put this method robust Gaussian filter have been proposed. However, the calculation cost becomes large due to the large number of repetitive applications. In this research, we propose a new robust and fast method by using the fast M-Estimation method. Since the proposed method requires just a few times of repetitive applications of the rectangular smoothing filter, the computation cost could be drastically reduced. The proposed method is just in need of the analytical calculation without any repetitive computation. Moreover it was noted that, at the ultimate time when there are no outliers in the data, the proposed method could provide completely the same results of the original Gaussian filter method.