双树复小波稳健滤波在工程表面粗糙度评定中的应用

任志英; 高诚辉; 申丁; 林建兴

doi:10.3788/OPE.20142207.1820

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双树复小波稳健滤波在工程表面粗糙度评定中的应用

微纳技术与精密机械 | 更新时间：2020-08-13

- 双树复小波稳健滤波在工程表面粗糙度评定中的应用
- Application of DT-CWT robust filtering to evaluation of engineering surface roughness
- 光学精密工程 2014年22卷第7期页码：1820-1827
- 作者机构：
  
  1. 福州大学机械工程及自动化学院,福建福州,350116
  2. 福州大学摩擦学研究所,福建福州,350116
- 作者简介：
- 基金信息：
  
  国家自然科学基金资助项目（No.51175085，51375094）();福建省教育厅A类资金资助项目（No.JA13059）();清华大学摩擦学国家重点实验室开放基金
- DOI：10.3788/OPE.20142207.1820
  中图分类号： TG84;TP391.4
- 收稿日期：2013-08-15，
  
  修回日期：2013-10-05，
  
  纸质出版日期：2014-07-25
- 稿件说明：
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任志英, 高诚辉*, 申丁等. 双树复小波稳健滤波在工程表面粗糙度评定中的应用[J]. 光学精密工程, 2014,22(7): 1820-1827

REN Zhi-ying, GAO Cheng-hui*, SHEN Ding etc. Application of DT-CWT robust filtering to evaluation of engineering surface roughness[J]. Editorial Office of Optics and Precision Engineering, 2014,22(7): 1820-1827
任志英, 高诚辉*, 申丁等. 双树复小波稳健滤波在工程表面粗糙度评定中的应用[J]. 光学精密工程, 2014,22(7): 1820-1827 DOI： 10.3788/OPE.20142207.1820.

REN Zhi-ying, GAO Cheng-hui*, SHEN Ding etc. Application of DT-CWT robust filtering to evaluation of engineering surface roughness[J]. Editorial Office of Optics and Precision Engineering, 2014,22(7): 1820-1827 DOI： 10.3788/OPE.20142207.1820.

摘要

讨论了现有工程表面粗糙度评定基准滤波方法的优缺点。提出双树复小波变换（DT-CWT）具有近似的平移不变性和改进方向选择性等优点适合用于三维表面基准滤波，但其滤波过于理想化易导致滤波基准在野点处畸变。为此，进一步提出将空域双边滤波思想引入DT-CWT来增强双树复小波变换在提取基准面野点处的稳健性。通过低频重构得到基准信号，并对每层重构系数进行双边滤波，最终增强DT-CWT滤波基准的稳健性。仿真结果显示：改进的DT-CWT能很好地抑制异常值干扰引起的滤波基准在野点处产生的畸变，其得到的基准面的精度误差为0.183 210

-10

m，重构误差为0.016 110

-10

m，低于传统方法所得。对实测数据进行处理结果表明，双树复小波稳健滤波能很好地克服边界效应并抑制工程表面上深沟对滤波结果的影响。提出的方法为工程表面粗糙度评定提供了一种新方法。

Abstract

The merits and demerits of existing reference filtering methods for evaluation of the three-dimensional engineering surface roughness were discussed.It points out that the Dual-tree Complex Wavelet Transform (DT-CWT) is suitable for the three-dimensional surface reference filter because of its advantages of approximate translation invariance and improved directional selectivity.However

its filtering is too idealistic

which will cause an opposition at the point of distortion of the filtered reference.Therefore

this paper brings the airspace bilateral filtering into the DT-CWT transform to enhance its robustness at the point of distortion of the filtered reference.The low-frequency reference signal was obtained through reconstruction and each reconstructed coefficient was bilaterally filtered

then

the robustness of reference filtering was enhanced by the DT-CWT filtering.The simulation data show that the robustness filtering under the conditions of abnormal interference is enhanced by the improved DT-CWT

the precision error is 0.183 210

-10

m and the reconstruction error is 0.016 110

-10

which is much lower than that of the traditional methods.The processing results for practical measurement data indicate that the improved method well overcomes the edge effects and suppresses the effects of deep valley in the surface on the filtering results.It provides a new way for evaluation of engineering surface roughness.

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Keywords

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