Skip to main content
SpringerLink
Log in

A diffusion filter for discontinuous surface measured by high definition metrology

  • Published:
International Journal of Precision Engineering and Manufacturing Aims and scope Submit manuscript

Abstract

High definition metrology can measure three-dimensional surface topography of discontinuous surfaces that have holes and grooves with large field of field and high lateral resolution. However, when separating discontinuous surfaces in to various scale-limited surface such as form, waviness and roughness, filtering techniques such as Gaussian filters cause “boundary distortion problems. This is because the discontinuous surfaces do not have large enough continuous evaluation area for Gaussian filtering. Therefore, this research proposes a modified anisotropic diffusion filter, which is formulated in terms of heat diffusion, to separate discontinuous surfaces into various scale-limited surfaces. An edge detector is proposed to ensure that the diffusion process only takes place inside the surface but not blur the surface boundaries. In addition, the diffusion time is specified considering the linkage with the cutoff wavelength of Gaussian filters. The performance of the proposed filter is validated by simulated and practical discontinuous surfaces. Moreover, the three dimensional areal surface texture features specified in ISO 25178 can be evaluated from the filtered scale-limited surfaces. Results have demonstrated that the proposed approach is an effective tool for separating and evaluating areal surface texture for discontinuous surfaces regardless of the continuity of the evaluation surface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Kamguem, R., Tahan, S. A., and Songmene, V., “Evaluation of Machined Part Surface Roughness using Image Texture Gradient Factor,” Int. J. Precis. Eng. Manuf., Vol. 14, No. 2, pp. 183–190, 2013.

    Article  Google Scholar 

  2. Huang, Z., Shih, A.J., and Ni, J., “Laser Interferometry Hologram Registration for Three-Dimensional Precision Measurements,” Journal of Manufacturing Science and Engineering, Vol. 128, No. 4, pp. 1006–1013, 2006.

    Article  Google Scholar 

  3. ISO 25178-6, “Geometrical Product Specifications (GPS) -Surface Texture: Areal -Part 6: Classification of Methods for Measuring Surface Texture,” 2010.

  4. ISO 4288, “Geometrical Product Specifications (GPS) -Surface Texture: Profile Method -Rules and Procedures for the Assessment of Surface Texture,” 1996.

  5. AME B46.1, “Surface Texture (Surface Roughness, Waviness, and Lay),” 2009.

  6. Seewig, J., “Linear and Robust Gaussian Regression Filters,” Journal of Physics: Conference Series, Vol. 13, pp. 254–257, 2005..

    Google Scholar 

  7. Goto, T., Miyakura, J., Umeda, K., Kadowaki, S., and Yanagi, K., “A Robust Spline Filter on the Basis of l 2-Norm,” Precision Engineering, Vol. 29, No. 2, pp. 157–161, 2005.

    Article  Google Scholar 

  8. Zeng, W., Jiang, X., and Scott, P., “Metrological Characteristics of Dual-Tree Complex Wavelet Transform for Surface Analysis,” Measurement Science and Technology, Vol. 16, No. 7, pp. 1410–1417, 2005.

    Article  Google Scholar 

  9. Du, S., Liu, C., and Huang, D., “A Shearlet-based Separation Method of 3D Engineering Surface using High Definition Metrology,” Precision Engineering, Vol. 40, pp. 55–73, 2015.

    Article  Google Scholar 

  10. Jiang, X. J. and Whitehouse, D. J., “Technological Shifts in Surface Metrology,” CIRP Annals-Manufacturing Technology, Vol. 61, No. 2, pp. 815–836, 2012.

    Article  Google Scholar 

  11. Zeng, W., Jiang, X., Scott, P. J., and Blunt, L., “Diffusion Filtration for the Evaluation of Mems Surface,” Proc. of the 10th International Symposium of Measurement Technology and Intelligent Instruments, 2011.

    Google Scholar 

  12. Jiang, X., Cooper, P., and Scott, P. J., “Freeform Surface Filtering using the Diffusion Equation,” Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, pp. 841–859, 2011.

    Google Scholar 

  13. Perona, P. and Malik, J., “Scale-Space and Edge Detection using Anisotropic Diffusion,” IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 12, No. 7, pp. 629–639, 1990.

    Article  Google Scholar 

  14. Weickert, J., “Efficient Image Segmentation using Partial Differential Equations and Morphology,” Pattern Recognition, Vol. 34, No. 9, pp. 1813–1824, 2001.

    Article  MATH  Google Scholar 

  15. Alvarez, L., Lions, P.-L., and Morel, J.-M., “Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II,” SIAM Journal on Numerical Analysis, Vol. 29, No. 3, pp. 845–866, 1992.

    Article  MathSciNet  MATH  Google Scholar 

  16. Alcantarilla, P. F., Bartoli, A., and Davison, A. J., “Kaze Features,” Computer Vision-ECCV 2012, pp. 214–227, 2012.

    Chapter  Google Scholar 

  17. Wang, M., Xi, L., and Du, S., 3d Surface Form Error Evaluation using High Definition Metrology,” Precision Engineering, Vol. 38, No. 1, pp. 230–236, 2014.

    Google Scholar 

  18. ISO 25178-2, “Geometrical Product Specifications (GPS) -Surface Texture: Areal -Part 2: Terms,” Definitions and Surface Texture Parameters Surface Texturem, 2012.

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    Meng Wang, Yi-Ping Shao, Shi-Chang Du & Li-feng Xi

  2. State Key Laboratory of Mechanical System and Vibration, Shanghai, 200240, China

    Shi-Chang Du & Li-feng Xi

Authors
  1. Meng Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yi-Ping Shao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shi-Chang Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Li-feng Xi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Meng Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, M., Shao, YP., Du, SC. et al. A diffusion filter for discontinuous surface measured by high definition metrology. Int. J. Precis. Eng. Manuf. 16, 2057–2062 (2015). https://doi.org/10.1007/s12541-015-0267-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12541-015-0267-y

Keywords

Search

Navigation