Performance Enhancement of Joint Fractional Correlator for Digital Holography Based Three-Dimensional Object Recognition Using Wavelet Filter

  • Dhirendra Kumar
  • Naveen K. Nishchal
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 166)


In this paper, performance of a joint fractional correlator for digital holography based three-dimensional (3D) object recognition has been enhanced using wavelet filter. Digital Fresnel holograms of 3D objects have been optically captured and numerically reconstructed. The correlation has been carried out by comparing the two 3D images reconstructed from corresponding digital holograms with the help of joint fractional correlator. The reconstructed objects are multiplied with appropriately scaled Mexican-hat wavelet filter in Fresnel domain to improve the performance of the fractional correlator. The performance measure parameters; discrimination ratio and peak-to-correlation energy have been computed to show that the filter enhances the correlation output.


Target Object Fourier Domain Wavelet Filter Discrimination Ratio Digital Holography 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



D. Kumar sincerely acknowledges the funding from the University Grants Commission through letter No. F.2-10/2011(SA-I). The authors also acknowledge the funding from the Defense Research and Development Organization, under Grant No. ERIP/ER/1200428/M/01/1473.


  1. 1.
    Millan MS (2012) Advanced optical correlation and digital methods for pattern matching-50th anniversary of Vander Lugt matched filter. J Opt 14(10):103001CrossRefADSMathSciNetGoogle Scholar
  2. 2.
    Tsang PWM, Poon TC, Liu JP, Situ WC (2014) Review of holographic-based three-dimensional object recognition techniques. Appl Opt 53(27):G95–104CrossRefGoogle Scholar
  3. 3.
    Schnars U, Jueptner W (2005) Digital holography: digital hologram recording, numerical recording, and related techniques. Springer, HeidelbergGoogle Scholar
  4. 4.
    Yamaguchi I, Zhang T (1997) Phase-shifting digital holography. Opt Lett 22(16):1268–1270CrossRefADSGoogle Scholar
  5. 5.
    Awatsuji Y, Fujii A, Kubota T, Matoba O (2006) Parallel three-step phase-shifting digital holography. Appl Opt 45(13):2995–3002CrossRefADSGoogle Scholar
  6. 6.
    Dong YC, Wu J (2010) Space-shifting digital holography with dc term removal. Opt Lett 35(8):1287–1289CrossRefADSGoogle Scholar
  7. 7.
    Cuche E, Marquet P, Depeursinge C (2000) Spatial filtering for zero order and twin image elimination in digital off-axis holography. Appl Opt 39(23):4070–4075CrossRefADSGoogle Scholar
  8. 8.
    Seifi M, Denis L, Fournier C (2013) Fast and accurate 3D object recognition directly from digital holograms. J Opt Soc Am A 30(11):2216–2224CrossRefADSGoogle Scholar
  9. 9.
    Nelleri A, Gopinathan U, Joseph J, Singh K (2005) Wavelet based three-dimensional object recognition using single off-axis digital Fresnel hologram. Proc. SPIE 5827:30–37ADSGoogle Scholar
  10. 10.
    Nelleri A, Joseph J, Singh K (2006) Recognition and classification of three-dimensional phase objects by digital Fresnel holography. Appl Opt 45(17):4046–4053CrossRefADSGoogle Scholar
  11. 11.
    Javidi B, Tajahuerce E (2000) Three-dimensional object recognition by use of digital holography. Opt Lett 25(9):610–612CrossRefADSGoogle Scholar
  12. 12.
    Frauel Y, Javidi B (2001) Neural network for three-dimensional object recognition based on digital holography. Opt Lett 26(19):1478–1480CrossRefADSGoogle Scholar
  13. 13.
    Tajahuerce E, Matoba O, Javidi B (2002) Shift-invariant three-dimensional object recognition by means of digital holography. Appl Opt 40(23):3877–3886CrossRefADSGoogle Scholar
  14. 14.
    Javidi B, Kim D (2005) Three-dimensional-object recognition by use of single exposure on-axis digital holography. Opt Lett 30(3):236–238CrossRefADSGoogle Scholar
  15. 15.
    Rosen J (1998) Three-dimensional joint transform correlator. Appl Opt 37(32):7538–7544CrossRefADSGoogle Scholar
  16. 16.
    Jin W, Yan C, Ma L, Ye H, Wang H (2006) Joint extended fractional Fourier transform correlator. Opt Commun 268(1):34–37CrossRefADSGoogle Scholar
  17. 17.
    Jin SI, Lee S-Y (2002) Joint transform correlator with fractional Fourier transform. Opt Commun 207(1–6):161–168CrossRefADSGoogle Scholar
  18. 18.
    Zhu B, Zhao H, Liu S (2002) Three-dimensional transparent objects recognition based on the digital holography and fractional correlator. Optik 113(5):209–212CrossRefADSGoogle Scholar
  19. 19.
    Bhagatji A, Nishchal NK, Gupta AK, Tyagi BP (2008) Extended fractional wavelet joint transform correlator. Opt Commun 281(1):44–48CrossRefADSGoogle Scholar

Copyright information

© Springer India 2015

Authors and Affiliations

  1. 1.Department of PhysicsIndian Institute of Technology PatnaPatnaIndia

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