OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 41, Iss. 11 — Apr. 8, 2002
  • pp: 2172–2178

Optimum nonlinear composite filter for distortion-tolerant pattern recognition

Seung-Hyun Hong and Bahram Javidi  »View Author Affiliations

Applied Optics, Vol. 41, Issue 11, pp. 2172-2178 (2002)

View Full Text Article

Enhanced HTML    Acrobat PDF (2147 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We describe a nonlinear distortion-tolerant filter for pattern recognition that is optimum in terms of tolerance to input noise and discrimination capability. This filter was derived by minimization of the output energy that is due to the overlapping additive noise and the input scene, and the output of the filter meets the design constraints obtained from the training data set. The performance of this filter was tested with an input scene containing one of the training data sets, a nontraining true target, and a false object in the presence of overlapping additive noise and nonoverlapping background noise. We carried out Monte Carlo runs to measure the statistical performance of the filter and obtained receiver operating characteristics curves to show the detection capabilities of the filter.

© 2002 Optical Society of America

OCIS Codes
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.4550) Image processing : Correlators
(100.5010) Image processing : Pattern recognition
(100.5760) Image processing : Rotation-invariant pattern recognition
(110.2970) Imaging systems : Image detection systems

Original Manuscript: May 14, 2001
Revised Manuscript: September 26, 2001
Published: April 10, 2002

Seung-Hyun Hong and Bahram Javidi, "Optimum nonlinear composite filter for distortion-tolerant pattern recognition," Appl. Opt. 41, 2172-2178 (2002)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  2. A. VanderLugt, Optical Signal Processing (Wiley, New York, 1992).
  3. A. McAulay, Optical Computer Architectures: The Application of Optical Concepts to Next Generation Computers (Wiley, New York, 1991).
  4. B. Javidi, J. L. Horner, Real-Time Optical Information Processing (Academic, San Diego, 1994).
  5. J. L. Turin, “An introduction to matched filters,” IRE Trans. Inf. Theory IT-6, 311–329 (1960). [CrossRef]
  6. A. VanderLugt, “Signal detection by complex filters,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
  7. D. Flannery, J. Horner, “Fourier optical signal processor,” Proc. IEEE 77, 1511–1527 (1989). [CrossRef]
  8. B. Javidi, “Nonlinear joint power spectrum based optical correlation,” Appl. Opt. 28, 2358–2367 (1989). [CrossRef] [PubMed]
  9. J. L. Horner, P. D. Gianino, “Phase-only matched filtering,” Appl. Opt. 23, 812–816 (1984). [CrossRef] [PubMed]
  10. B. Javidi, Ph. Réfrégier, P. Willett, “Optimum receiver design for pattern recognition with nonoverlapping target and scene noise,” Opt. Lett. 18, 1160–1162 (1994).
  11. D. Psaltis, Y. Qiao, H. Li, “Optical face recognition system,” in Photonics for Computers, Neural Networks, and Memories, W. J. Miceli, J. A. Neff, S. T. Kowel, eds., Proc. SPIE, 1773, 59–62 (1993). [CrossRef]
  12. Ph. Réfréigher, V. Laude, B. Javidi, “Nonlinear joint-transform correlation: an optimal solution for adaptive image discrimination and input noise robustness,” Opt. Lett. 19, 405–407 (1994).
  13. D. Casasent, D. Psaltis, “Position, rotation and scale invariant optical correlation,” Appl. Opt. 15, 1795–1799 (1976). [CrossRef] [PubMed]
  14. A. Mahalanobis, “Review of correlation filters and their application for scene matching,” in Optoelectronic Devices and Systems for Processing, B. Javidi, K. M. Johnson, eds., Vol. CR65 of SPIE Critical Reviews of Optical Science and Technology (SPIE Press, Bellingham, Wash., 1996), pp. 240–260.
  15. B. Javidi, J. Wang, “Optimum distortion-invariant filter for detecting a noisy distorted target in nonoverlapping background noise,” J. Opt. Soc. Am. A 12, 2604–2614 (1995). [CrossRef]
  16. B. Javidi, D. Painchaud, “Distortion-invariant pattern recognition with Fourier-plane nonlinear filters,” Appl. Opt. 35, 318–331 (1996). [CrossRef] [PubMed]
  17. C. Hester, D. Casasent, “Multivariant technique for multiclass pattern recognition,” Appl. Opt. 19, 1758–1761 (1980). [CrossRef] [PubMed]
  18. J. Caulfield, W. Maloney, “Improved discrimination in optical character recognition,” Appl. Opt. 8, 2354–2356 (1969). [CrossRef] [PubMed]
  19. Y. Hsu, H. Arsenault, “Optical pattern recognition using circular harmonic expansion,” Appl. Opt. 21, 4016–4019 (1982). [CrossRef] [PubMed]
  20. Ph. Réfrégier, F. Goudail, “Decision theoretical approach to nonlinear joint transform correlation,” J. Opt. Soc. Am. A 15, 61–67 (1998). [CrossRef]

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 Fig. 5

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited