OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 38, Iss. 26 — Sep. 10, 1999
  • pp: 5556–5559

Phase-shifting joint transform correlation with phase-iterative algorithm: effect of the dynamic range limit

Hong-Jun Su and Mohammad A. Karim  »View Author Affiliations

Applied Optics, Vol. 38, Issue 26, pp. 5556-5559 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (3286 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



With phase-shifting joint transform correlation (PSJTC) one uses multiple phase shifts to recover the phase difference between Fourier transforms of the input and the reference. In PSJTC systems the resulting phase-only function is used instead of the joint transform power spectrum (JTPS). Provided it can be recorded linearly, the JTPS reduces to a modulated sinusoidal fringe, especially when the target image matches the reference image. In practice, the JTPS has a wide dynamic range, and a CCD camera has a nonlinear response. Correspondingly, the recorded JTPS turns out to be different from a perfect sinusoidal fringe. Here we study the dynamic range effects of realizing PSJTC with the phase-iterative algorithm.

© 1999 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(100.5010) Image processing : Pattern recognition
(110.6980) Imaging systems : Transforms

Original Manuscript: March 3, 1999
Revised Manuscript: May 25, 1999
Published: September 10, 1999

Hong-Jun Su and Mohammad A. Karim, "Phase-shifting joint transform correlation with phase-iterative algorithm: effect of the dynamic range limit," Appl. Opt. 38, 5556-5559 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. S. Weaver, J. W. Goodman, “Technique for optically convolving two functions,” Appl. Opt. 5, 1248–1249 (1966). [CrossRef] [PubMed]
  2. F. T. S. Yu, X. J. Lu, “A real-time programmable joint transform correlator,” Opt. Commun. 52, 10–16 (1984). [CrossRef]
  3. A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
  4. B. Javidi, C. Kuo, “Joint transform image correlation using a binary spatial light modulator at the Fourier plane,” Appl. Opt. 27, 663–665 (1988). [CrossRef] [PubMed]
  5. F. T. S. Yu, F. Cheng, T. Nagate, D. A. Gregory, “Effect of fringe binarization of multiobject joint transform correlation,” Appl. Opt. 28, 2988–2990 (1989). [CrossRef] [PubMed]
  6. M. S. Alam, M. A. Karim, “Improved correlation discrimination in a multi-object bipolar joint transform correlator,” Opt. Laser Technol. 24, 45–50 (1992). [CrossRef]
  7. M. S. Alam, M. A. Karim, “Joint-transform correlation under varying illumination,” Appl. Opt. 32, 4351–4356 (1993). [CrossRef] [PubMed]
  8. M. S. Alam, O. Perez, M. A. Karim, “Preprocessed multiobject joint transform correlator,” Appl. Opt. 32, 3102–3107 (1993). [CrossRef] [PubMed]
  9. M. S. Alam, M. A. Karim, “Fringe-adjusted joint transform correlation,” Appl. Opt. 32, 4344–4350 (1993). [CrossRef] [PubMed]
  10. R. K. Wang, L. Shang, C. R. Chatwin, “Modified fringe-adjusted joint-transform correlation to accommodate noise in the input scene,” Appl. Opt. 35, 286–296 (1996). [CrossRef] [PubMed]
  11. M. S. Alam, “Fractional power fringe-adjusted joint transform correlation,” Opt. Eng. 34, 3208–3215 (1995). [CrossRef]
  12. G. Lu, Z. Zhang, S. Wu, F. T. S. Yu, “Implementation of a non-zero-order joint-transform correlator by use of phase-shifting techniques,” Appl. Opt. 36, 470–483 (1997). [CrossRef] [PubMed]
  13. H. J. Su, M. A. Karim, “Performance improvement of a phase-shifting joint transform correlator by use of phase-iterative techniques,” Appl. Opt. 37, 3639–3642 (1998). [CrossRef]
  14. H. Inbar, D. Mendlovic, E. Marom, “Error-diffusion binarization for joint transform correlators,” Appl. Opt. 32, 707–714 (1993). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited