| 傅里叶变换轮廓术中二维非对称滤波器的设计 |
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| 引用本文： | 孔祥俊,白福忠,徐永祥,高晓娟,王颖.傅里叶变换轮廓术中二维非对称滤波器的设计[J].应用光学,2019,40(4):669-675. |
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| 作者姓名： | 孔祥俊 白福忠 徐永祥 高晓娟 王颖 |
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| 作者单位： | 内蒙古工业大学 机械工程学院，内蒙古 呼和浩特 010051 |
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| 基金项目： | 国家自然科学基金51765054内蒙古自治区自然科学基金2016MS0620内蒙古工业大学科研项目X201703 |
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| 摘 要： | 傅里叶变换轮廓术(FTP)复原三维形貌时,用来提取基频成分的带通滤波器对测量精度有很大影响。传统二维滤波器如汉宁窗或高斯窗为对称滤波器,其截止频率的大小受条纹空间频率即基频与零频间的距离所限,经常会导致基频成分提取不完整,有用信息缺失。为解决此问题,在二维汉宁滤波器基础上,提出一种椭圆形底部形状的二维非对称滤波器,在不同频率方向上具有不同的频率响应和截止频率,可提取出更为完整的基频成分。台阶和阵列物体的模拟实验表明,二维非对称滤波器对2个物体的复原精度相比于传统汉宁滤波器分别提高了39.5%和55.6%。
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| 关 键 词： | 光学三维测量 傅里叶变换轮廓术 二维非对称滤波器 测量精度 |
| 收稿时间： | 2018-11-30 |
Design of two-dimensional asymmetric filter in Fourier transform profilometry |
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| KONG Xiangjun,BAI Fuzhong,XU Yongxiang,GAO Xiaojuan,WANG Ying.Design of two-dimensional asymmetric filter in Fourier transform profilometry[J].Journal of Applied Optics,2019,40(4):669-675. |
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| Authors: | KONG Xiangjun BAI Fuzhong XU Yongxiang GAO Xiaojuan WANG Ying |
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| Affiliation: | College of Mechanical Engineering, Inner Mongolia University of Technology, Hohhot 010051, China |
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| Abstract: | In the Fourier transforms profilometry (FTP), the band-pass filter that extracts the fundamental frequency component has a significant influence on the reconstructed accuracy of the 3D profile. For traditional 2D symmetrical filters such as Hanning window or Gaussian window, their cut-off frequencies are limited by the spatial frequency of projection fringe, namely the distance between the fundamental frequency and the zero frequency. This often leads to the incomplete extraction of fundamental frequency components and the loss of useful information. To solve this problem, we designed a 2D asymmetric filter with the elliptical bottom shape on the basis of 2D Hanning filter. It holds different frequency response and cut-off frequency towards different frequency directions and thus one can extract more complete fundamental frequency component. The simulation experiments of step object and array object show that the reconstructed accuracy of the proposed 2D asymmetric filter improves respectively by 39.5% and 55.6% for these two objects compared with traditional Hanning filter. |
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| Keywords: | optical three-dimensional measurement Fourier transform profilometry 2D asymmetric filter measurement accuracy |
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