Journal of Optics

, Volume 47, Issue 4, pp 417–423 | Cite as

Matching factor-based morphological recognition method for centering a non-diffracting image

  • Guolu MaEmail author
  • Lixian Liu
  • Bin Zhao
Research Article


A matching factor-based morphological recognition method for centering a concentric circle fringe image under complex background was proposed. The basic principle is that the amplitude of phase fluctuation along with the matching factor, which is proportional to the deviation from the center of the non-diffracting spot. The cross section of non-diffracting beam which consist of concentric circle fringe, is first obtained from a matrix array image sensor, downloaded into a computer, and then, the approximate central spot position of concentric circle is calculated by finding the position of the peak value of the dimensionless matching factor. Because all the intensity distribution information of the non-diffracting beam is used for the calculation from image recognition of gray scale, the effect of background noise on centering is significantly reduced and the center position resolution can achieve subpixel accuracy. The measurement of the spatial angle is discussed which shows great advancement and application prospect in the orientation system of tunneling equipment.


Positioning Morphological recognition Non-diffracting beam Digital image processing 



This work is supported by the National Natural Science Foundation of China (Grant No. 61505169) and was supported by the Key Project of Fundamental Co-construction of Sichuan Province in China (No. 13zxzk06).973 of Ministry of Science and technology of China (Grant No. 2013CB035405).


  1. 1.
    K.C. Fan, Y. Zhao, Laser straightness measurement system using optical fiber and modulation techniques. Int. J. Mach. Tools Manuf 40, 2073–2081 (2000)CrossRefGoogle Scholar
  2. 2.
    M. Giloan, R. Gutt, G. Saplacan, Optical chiral metamaterial based on meta-atoms with three-fold rotational symmetry arranged in hexagonal lattice. J. Opt. 17, 085102 (2015)ADSCrossRefGoogle Scholar
  3. 3.
    S.T. Lin, A laser interferometer for measuring straightness. Opt. Laser Technol. 33, 195–199 (2001)ADSCrossRefGoogle Scholar
  4. 4.
    B. Chen, B. Xu, L. Yan, E. Zhang, Y. Liu, Laser straightness interferometer system with rotational error compensation and simultaneous measurement of six degrees of freedom error parameters. Opt. Express 23, 9052–9073 (2015)ADSCrossRefGoogle Scholar
  5. 5.
    J. Durnin, Diffraction-free beams. Phys. Rev. Lett. 58, 1499–1501 (1987)ADSCrossRefGoogle Scholar
  6. 6.
    J. Durnin, Exact solutions for nondiffracting beams I. The scalar theory. J. Opt. Soc. Am. A 4, 651–654 (1987)ADSCrossRefGoogle Scholar
  7. 7.
    M. Guolu, Z. Bin, F. Yiyan, Non-diffracting beam based probe technology for measuring coordinates of hidden parts. Opt. Lasers Eng. 51, 585–591 (2012)Google Scholar
  8. 8.
    Guolu Ma and Bin Zhao, Polar transformation-based phase-scanning method for centering a non-diffracting fringe image. Opt. Commun. 325, 47–53 (2014)CrossRefGoogle Scholar
  9. 9.
    Zhao Bin and Li Zhu, Diffraction property of an axicon in oblique illumination. Appl. Opt. 37, 2563–2568 (1998)ADSCrossRefGoogle Scholar
  10. 10.
    Z. Xinbao, Z. Bin, L. Zhu, Measurement method of spatial straightness error using non-diffracting technology. J. Opt. A: Pure Appl. Opt. 6, 121–126 (2004)CrossRefGoogle Scholar
  11. 11.
    Zhou Liping, Zhao Bin, Li Zhu, Theory and generation of non diffracting bessel beams. Opt. Precis. Eng. 4, 14–19 (1997). (In Chinese) Google Scholar
  12. 12.
    G. Ma, Z. Guoying, Z. Bin, Arago-Poisson diffraction spot observed in the shadow area of an axicon lens. J. Opt. 16, 1–6 (2015)Google Scholar
  13. 13.
    Y. Liu, S. Zhou, Detecting point pattern of multiple line segments using hough transformation. Semicond. Manuf. 28, 13–24 (2015)CrossRefGoogle Scholar
  14. 14.
    J. Wu, K. Chen, X. Gao, Fast and accurate circle detection using gradient-direction-based segmentation. J. Opt. Soc. Am. A 30, 1184–1192 (2013)ADSCrossRefGoogle Scholar
  15. 15.
    Zhao Bin, Digital moiré fringe-scanning method for centering a circular fringe image. Appl. Opt. 43, 2833–2839 (2004)ADSCrossRefGoogle Scholar
  16. 16.
    Y. Fan, B. Zhao, Coordinate measurement of hidden parts using an attitude angle sensor and a laser rangefinder. Opt. Eng. 53, 124101–124101 (2014)ADSCrossRefGoogle Scholar
  17. 17.
    S.A. Juárez-Reyes, P. Ortega-Vidals, G. Silva-Ortigoza, Wavefronts, light rays and caustic associated with the refraction of a spherical wave by two interfaces: the axicon and the plano-convex parabolic lenses. J. Opt. 17, 065604 (2015)ADSCrossRefGoogle Scholar
  18. 18.
    S. Joshi, B.K. Yadav, M.S. Khan, H.C. Kandpal, Effect of coherence and polarization on the polychromatic partially coherent dark hollow beam generated from axicon-lens system. J. Opt. 16, 0754 (2014)CrossRefGoogle Scholar

Copyright information

© The Optical Society of India 2018

Authors and Affiliations

  1. 1.Ministry of Education Key Laboratory of Testing Technology for Manufacturing ProcessSouthwest University of Science and Technology (SWUST)Mianyang CityPeople’s Republic of China
  2. 2.Department of Instrumentation, School of Mechanical EngineeringHuazhong University of Science and Technology (HUST)WuhanPeople’s Republic of China

Personalised recommendations