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A study on the Fast M-Estimation based Gaussian Filter controllable in robustness

机译：鲁棒性可控的基于快速M估计的高斯滤波器研究

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A FMGF (Fast M-Estimation based Gaussian Filter) is the fast robust Gaussian filter that output wave pattern accorded mutually with the Gaussian filter output.. However, in some case, robustness of FMGF is less than Brinkmann's robust Gaussian filter. Then, robustness of the FMGF is strengthened. The FMGF has characteristic that robustness and output process is calculated in each x-coordinates. Using this characteristic, only few x-coordinate that is affected by outlier are recalculated. In the recalculation process, parameter m value changes to small value, and to strengthens robustness. Using characteristic of the FMGF that accords with output of the Gaussian filter, the outlier areas are judged. The first process of the new FMGF, executes the Gaussian filter and normal FMGF. Next, only x-coordinates that has deviation between output of the Gaussian filter and the FMGF are recalculated. It is confirmed that the robustness of the new FMGF is strengthened without problems.
机译：FMGF（基于快速M估计的高斯滤波器）是输出波形与高斯滤波器输出相互一致的快速鲁棒高斯滤波器。但是，在某些情况下，FMGF的鲁棒性低于Brinkmann的鲁棒高斯滤波器。然后，增强了FMGF的鲁棒性。 FMGF具有在每个x坐标中计算鲁棒性和输出过程的特征。使用此特征，仅重新计算了少数受异常值影响的x坐标。在重新计算过程中，参数m值更改为较小的值，以增强鲁棒性。使用与高斯滤波器输出一致的FMGF特性，判断异常区域。新FMGF的第一个过程是执行高斯滤波器和普通FMGF。接下来，仅重新计算在高斯滤波器的输出和FMGF之间存在偏差的x坐标。可以肯定的是，新型FMGF的坚固性得到了增强，没有出现问题。

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