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Filter with variable transmission characteristics for determination of three-dimensional roughness |
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| Authors: | Munetoshi Numada Takashi Nomura Kazuhide Kamiya Hatsuzo Tashiro Hiroyasu Koshimizu |
| Affiliation: | aDepartment of Mechanical Systems Engineering, Toyama Prefectural University, Imizu-shi, Toyama 939-0398, Japan bLossev Technology Corp., 662-1 Nojiri, Nanto-shi, Toyama 939-1502, Japan cDepartment of Mechanical and Intellectual Systems Engineering, University of Toyama, Gofuku, Toyama 930-8555, Japan dSchool of Information Science and Technology, Chukyo University, 101 Tokodate, Kaizu-cho, Toyota 470-0393, Japan |
| Abstract: | 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. |
| Keywords: | 3D roughness Transmission characteristic Gaussian filter Cubic B-spline |
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