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使用带有Savitzky-Golay滤波器和加权最小二乘误差的三次样条插值法增强扫描电子显微镜图像的信噪比。

Signal-to-noise ratio enhancement on SEM images using a cubic spline interpolation with Savitzky-Golay filters and weighted least squares error.

作者信息

Kiani M A, Sim K S, Nia M E, Tso C P

机构信息

Faculty of Engineering and Technology, Multimedia University, Melaka, Malaysia.

出版信息

J Microsc. 2015 May;258(2):140-50. doi: 10.1111/jmi.12227. Epub 2015 Feb 12.

Abstract

A new technique based on cubic spline interpolation with Savitzky-Golay smoothing using weighted least squares error filter is enhanced for scanning electron microscope (SEM) images. A diversity of sample images is captured and the performance is found to be better when compared with the moving average and the standard median filters, with respect to eliminating noise. This technique can be implemented efficiently on real-time SEM images, with all mandatory data for processing obtained from a single image. Noise in images, and particularly in SEM images, are undesirable. A new noise reduction technique, based on cubic spline interpolation with Savitzky-Golay and weighted least squares error method, is developed. We apply the combined technique to single image signal-to-noise ratio estimation and noise reduction for SEM imaging system. This autocorrelation-based technique requires image details to be correlated over a few pixels, whereas the noise is assumed to be uncorrelated from pixel to pixel. The noise component is derived from the difference between the image autocorrelation at zero offset, and the estimation of the corresponding original autocorrelation. In the few test cases involving different images, the efficiency of the developed noise reduction filter is proved to be significantly better than those obtained from the other methods. Noise can be reduced efficiently with appropriate choice of scan rate from real-time SEM images, without generating corruption or increasing scanning time.

摘要

一种基于三次样条插值并采用加权最小二乘误差滤波器进行Savitzky-Golay平滑处理的新技术,针对扫描电子显微镜(SEM)图像进行了改进。采集了多种样本图像,结果发现与移动平均滤波器和标准中值滤波器相比,该技术在消除噪声方面表现更优。此技术可在实时SEM图像上高效实现,处理所需的所有强制数据都从单幅图像中获取。图像中的噪声,尤其是SEM图像中的噪声,是令人讨厌的。一种基于三次样条插值结合Savitzky-Golay和加权最小二乘法的新型降噪技术被开发出来。我们将该组合技术应用于SEM成像系统的单图像信噪比估计和降噪。这种基于自相关的技术要求图像细节在几个像素上具有相关性,而噪声则假定在像素之间是不相关的。噪声分量是通过零偏移处的图像自相关与相应原始自相关估计值之间的差异得出的。在涉及不同图像的少数测试案例中,所开发的降噪滤波器的效率被证明明显优于其他方法。通过从实时SEM图像中适当选择扫描速率,可以有效降低噪声,而不会产生失真或增加扫描时间。

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