Filter with variable transmission characteristics for determination of three-dimensional roughness
Filter with variable transmission characteristics for determination of three-dimensional roughness
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DOI：
10.1016/j.precisioneng.2006.01.002
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发表时间：
2006-10
影响因子：
3.6
通讯作者：
M. Numada;T. Nomura;K. Kamiya;H. Tashiro;H. Koshimizu
中科院分区：
文献类型：
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作者：
M. Numada;T. Nomura;K. Kamiya;H. Tashiro;H. Koshimizu
在这项研究中，我们提出了一种低通滤波器，其传输特性被确定为大于99.99%相同的设计传输特性的波长大于截止波长。该低通滤波器使用频域方法实现，该频域方法使用下采样、频率滤波器和三次B样条。当使用高斯滤波器（GF）的频率特性作为设计的传输特性时，该低通滤波器完全取代了GF。此外，没有端部效应和方向特性的发展，和高速计算是可能的。此外，我们可以容易地实现具有传输特性的低通滤波器，该传输特性在直角处急剧上升，如阶跃边缘。
In this study, we propose a low-pass filter whose transmission characteristics are determined to be more than 99.99% identical to the designed transmission characteristics at wavelengths greater than the cut-off wavelength. This low-pass filter is realized using a frequency-domain method which uses down-sampling, a frequency filter, and a cubic B-spline. When the frequency characteristics of a Gaussian filter (GF) were used as the designed transmission characteristics, this low-pass filter perfectly replaced the GF. In addition, no end effects and directional characteristics developed, and high-speed computation was possible. Furthermore, we can easily realize a low-pass filter having transmission characteristics that rise sharply at a right angle like a step edge.