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Optical elements machining error decomposition method based on the ICEEMDAN-CMPE.

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Title: Optical elements machining error decomposition method based on the ICEEMDAN-CMPE.
Authors: Cheng, Bohan1 (AUTHOR), Guo, Yanjun1 (AUTHOR), Yang, Xiaojing1 (AUTHOR) xjyang@vip.sina.com, Luo, Shengyang2 (AUTHOR), Deng, Guifang3 (AUTHOR), Yao, Tong1 (AUTHOR), Lou, Fang1 (AUTHOR), Miao, Wenhua1 (AUTHOR)
Source: Journal of Mechanical Science & Technology. Apr2026, Vol. 40 Issue 4, p2865-2881. 17p.
Subjects: Optical elements, Entropy (Information theory), Error analysis in mathematics, Surface topography measurement, Statistical bias, Statistical errors
Abstract: In this investigation, the improved complete ensemble empirical mode decomposition with adaptive noise (ICEEMDAN) based on composite multi-scale permutation entropy (CMPE) for the optical elements machining error decomposition method is proposed. The proposed method employed the ICEEMDAN to decompose the surface measurement data containing multiple machining error components. This process can obtain different mode components and residual components. Subsequently, combined with the CMPE method, through analyzing CMPE values under different scale factors, components containing the systematic errors are filtered and reconstructed, and the machining error is decomposed into systematic and random errors. Finally, the simulated and experimental measurement data were employed to verified the performance of this method. The results show that the accuracy of ICEEMDANCMPE is more accurate than the other methods. The optimal values of mean, RMS, and variance values are 2.78 × 10−10 mm, 6.49 × 10−7 mm, and 4.21 × 10−13 mm, respectively. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Mechanical Science & Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 193115821
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  Label: Title
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  Data: Optical elements machining error decomposition method based on the ICEEMDAN-CMPE.
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  Data: <searchLink fieldCode="AR" term="%22Cheng%2C+Bohan%22">Cheng, Bohan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Guo%2C+Yanjun%22">Guo, Yanjun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Xiaojing%22">Yang, Xiaojing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> xjyang@vip.sina.com</i><br /><searchLink fieldCode="AR" term="%22Luo%2C+Shengyang%22">Luo, Shengyang</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Deng%2C+Guifang%22">Deng, Guifang</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yao%2C+Tong%22">Yao, Tong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Lou%2C+Fang%22">Lou, Fang</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Miao%2C+Wenhua%22">Miao, Wenhua</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Mechanical+Science+%26+Technology%22">Journal of Mechanical Science & Technology</searchLink>. Apr2026, Vol. 40 Issue 4, p2865-2881. 17p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Optical+elements%22">Optical elements</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy+%28Information+theory%29%22">Entropy (Information theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Error+analysis+in+mathematics%22">Error analysis in mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+topography+measurement%22">Surface topography measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+bias%22">Statistical bias</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+errors%22">Statistical errors</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this investigation, the improved complete ensemble empirical mode decomposition with adaptive noise (ICEEMDAN) based on composite multi-scale permutation entropy (CMPE) for the optical elements machining error decomposition method is proposed. The proposed method employed the ICEEMDAN to decompose the surface measurement data containing multiple machining error components. This process can obtain different mode components and residual components. Subsequently, combined with the CMPE method, through analyzing CMPE values under different scale factors, components containing the systematic errors are filtered and reconstructed, and the machining error is decomposed into systematic and random errors. Finally, the simulated and experimental measurement data were employed to verified the performance of this method. The results show that the accuracy of ICEEMDANCMPE is more accurate than the other methods. The optimal values of mean, RMS, and variance values are 2.78 × 10−10 mm, 6.49 × 10−7 mm, and 4.21 × 10−13 mm, respectively. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Mechanical Science & Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s12206-026-0239-4
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        Text: English
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        PageCount: 17
        StartPage: 2865
    Subjects:
      – SubjectFull: Optical elements
        Type: general
      – SubjectFull: Entropy (Information theory)
        Type: general
      – SubjectFull: Error analysis in mathematics
        Type: general
      – SubjectFull: Surface topography measurement
        Type: general
      – SubjectFull: Statistical bias
        Type: general
      – SubjectFull: Statistical errors
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      – TitleFull: Optical elements machining error decomposition method based on the ICEEMDAN-CMPE.
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            NameFull: Cheng, Bohan
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            NameFull: Guo, Yanjun
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            NameFull: Yang, Xiaojing
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            NameFull: Luo, Shengyang
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            NameFull: Deng, Guifang
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            NameFull: Yao, Tong
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            – D: 01
              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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