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圆度测量中的高斯滤波快速算法 被引量:9

Fast Gaussian Filtering Algorithm for Roundness Measurements
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摘要 文中用逼近法和双线性变换法,设计了用于圆度测量的高斯数字逼近滤波器,并给出了零相移的递归滤波算法,计算量小,计算效率高,易于实现。增加逼近滤波器节数,可以提高滤波精度,8节高斯逼近滤波器的幅度传输特性偏差小于2%。用于圆度测量的高斯数字滤波算法还有效地解决了滤波的边缘效应问题。 A series of Gaussian digital approximation filters used in roundness measurement were designed on the basis of approximation method and bilinear transformation. The zero-phase-shift recursive Gaussian filtering algorithm has a small number of computation operations, therefore it is efficient and easy to realize. The filtering accuracy can be improved with the increase of the orders of approximation filter. The amplitude transmission characteristic deviation of the eight-order Gaussian digital approximation filter without the edge effects is less than 2%. The algorithm effectively solves the edge effects of the filter.
出处 《南京理工大学学报》 EI CAS CSCD 北大核心 2007年第3期342-345,共4页 Journal of Nanjing University of Science and Technology
基金 国家教育部归国留学人员基金 国家劳动人事部归国留学人员基金
关键词 高斯滤波 圆度测量 逼近法 边缘效应 Gaussian filtering roundness measurement approximation method edge effects
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参考文献4

  • 1ISO11562-1996,Geometrical product specifications (GPS)-surface texture:Profile method-metrological characteristics of phase correct filters[s].
  • 2Xue Zi,Tan Jiubin,Zhao Weiqian,et al.Amplitude frequency characteristic analysis of gaussian filtering in ultra precision circular profile[A].ISIST'2004[C].Xi'an:ISIST,2004.388-392.
  • 3Xue Zi,Tan Jiubin,Zhang Heng,et al.Theoretical and experimental analysis of gaussian filtering for ultra precision circular profile[A].ISIST'2004[C].Xi'an:ISIST,2004.421 -425.
  • 4Klapper J,Harris C M.On the response and approximation of gaussian filters[J].IRE Transactions on Audio,1959 (5):80-87.

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