Resolution Enhancement for Digital Off-Axis Hologram Reconstruction

  • Nazeer Muhammad
  • Dai-Gyoung Kim
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 229)


A new method of digital off-axis hologram reconstruction based on the Fresnel transform is proposed. A combination of composite filtering, Abbe’s limitation, and digital lens formulae has been used with an appropriate handling of Fresnel impulse response propagator. A clear image of microscopic object is efficiently reconstructed from hologram using a plane wave with involvement of electric field along bi-cubic interpolation in the final reconstruction step. In particular, the proposed method automatically suppresses the zero order term and virtual image. The image can be reconstructed with large size using interpolation scheme with the Haar wavelet. The proposed method facilitates the transverse high resolution of microscopic image, which has better applicability than other approaches. Moreover, the advantages of this method are its simplicity and convenience in data processing.


Bi-cubic interpolation Digital holography Fresnel transforms Lens formula Microscopy Wavelet transforms 



This work was by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2011-0026245).


  1. 1.
    Goodman JW (2004) Introduction to fourier optics, 3rd edn. Roberts & Company Publishers, EnglewoodGoogle Scholar
  2. 2.
    Schnars U, Werner PO (2002) Digital recording and numerical reconstruction of holograms. Meas Sci Technol 13(9):R85Google Scholar
  3. 3.
    Chen GL, Lin CY, Kuo MK, Chang CC (2008) Numerical reconstruction and twin-image suppression using an off-axis Fresnel digital hologram. Appl Phys B 90:527–532CrossRefGoogle Scholar
  4. 4.
    Voelz DG (2011) Computational fourier optics: a MATLAB tutorial. SPIE, BellinghamGoogle Scholar
  5. 5.
    Poon T-C (2007) Optical scanning holography with MATLAB. Springer, New YorkGoogle Scholar
  6. 6.
    Ferraro P, Coppola G, Alfieri D, De Nicola S, Finizio A, Pierattini G (2004) Controlling images parameters in the reconstruction process of digital holograms. IEEE J Sel Topics Quantum Electron 10(4):829–839Google Scholar
  7. 7.
    Muhammad N, Kim D-G (2012) A simple approach for large size digital off-axis hologram reconstruction. Lecture notes in engineering and computer science: proceedings of the world congress on engineering 2012, WCE 2012. London, UK, 2012: pp 1183–1188, 4–6 July 2012Google Scholar
  8. 8.
    Gonzalez RC, Woods RE (2002) Digital image processing, 2nd edn. Prentice Hall, Upper Saddle RiverGoogle Scholar
  9. 9.
    Lancaster D, A review of some image pixel interpolation algorithms.
  10. 10.
    Demirel H, Anbarjafari G (2011) Discrete wavelet transform-based satellite image resolution enhancement. IEEE T Geosci Remote Sens 49(6–1):1997–2004Google Scholar
  11. 11.
    Wang Z, Bovik A, Sheikh H, Simoncelli E (2004) Image quality assessment: from error visibility to structural similarity. IEEE Trans Image Process 13(4):600–612Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Division of Applied Mathematics, the ERICA campusHanyang UniversityAnsanSouth Korea

Personalised recommendations