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Applied Optics

Applied Optics


  • Vol. 44, Iss. 1 — Jan. 1, 2005
  • pp: 47–54

Application of supergeneralized matched filters to target classification

Kaveh Heidary and H. John Caulfield  »View Author Affiliations

Applied Optics, Vol. 44, Issue 1, pp. 47-54 (2005)

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The matched filter (MF) is the optimum linear operator for distinguishing between a fixed signal and noise, given the noise statistics. A generalized matched filter (GMF) is a linear filter that can handle the more difficult problem of a multiple-example signal set, and it reduces to a MF when the signal set has only one member. A supergeneralized matched filter (SGMF) is a set of GMFs and a procedure to combine their results nonlinearly to handle the multisignal problem even better. Obviously the SGMF contains the GMF as a special case. An algorithm for training SGMFs is presented, and it is shown that the algorithm performs quite well even for extremely difficult classification problems.

© 2005 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(100.5010) Image processing : Pattern recognition
(150.0150) Machine vision : Machine vision

Original Manuscript: April 26, 2004
Revised Manuscript: September 16, 2004
Manuscript Accepted: September 30, 2004
Published: January 1, 2005

Kaveh Heidary and H. John Caulfield, "Application of supergeneralized matched filters to target classification," Appl. Opt. 44, 47-54 (2005)

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  1. A. VanderLugt, “Signal detection by complex spatial filtering,” IEEE Trans. Inf. Theory IT-10, 139–145 (1964).
  2. H. J. Caulfield, R. Haimes, D. Casasent, “Beyond matched filtering,” Opt. Eng. 19, 152–156 (1980). [CrossRef]
  3. M. A. G. Abushagur, H. J. Caulfield, eds., Selected Papers on Fourier Optics, Vol. MS105 of SPIE Milestone Series (SPIE, Bellingham, Wash., 1995).
  4. H. J. Caulfield, R. Haimes, “Generalized matched filtering,” Appl. Opt. 19, 181–183 (1980). [CrossRef] [PubMed]
  5. H. J. Caulfield, M. H. Weinberg, “Computer recognition of 2-D patterns using generalized matched filters,” Appl. Opt. 21, 1699–1704 (1982). [CrossRef] [PubMed]
  6. E. R. Dougherty, J. Astola, Nonlinear Filters for Image Processing (Wiley, New York, 1999).
  7. M. H. A. Davis, S. I. Marcus, “An introduction to nonlinear filtering,” in Stochastic Systems: The Mathematics of Filtering and Identification and Applications, M. Hzewinkel, J. C. Willems, eds. (Reidel, Dordrecht, The Netherlands, 1981), pp. 53–75.
  8. S. Lototsky, R. Mikulevicius, B. L. Rozovski, “Nonlinear filtering revisited: a spectral approach,” SIAM J. Control 35, 435–461 (1997). [CrossRef]
  9. S. Haykin, Communications Systems, 4th ed. (Wiley, New York, 2001).
  10. H. J. Caulfield, K. Heidary, “Exploring margin setting for good generalization in multiple class discrimination,” J. Pattern Recogn. (to be published).
  11. H. J. Caulfield, A. Karavolos, E. Ludman, “Improving Fourier recognition by accommodating the missing information,” Inf. Sci. (N.Y.) 162, 35–52 (2004). [CrossRef]
  12. J. A. Hanley, “Receiver operating characteristic (ROC) curves,” in Encyclopedia of Biostatistics, P. Armitage, T. Colton, eds. (Wiley, New York, 1998), pp. 3738–3745.

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