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Applied Optics

Applied Optics


  • Vol. 25, Iss. 20 — Oct. 15, 1986
  • pp: 3767–3772

Computer-generated and phase-only synthetic discriminant function filters

David Casasent and William A. Rozzi  »View Author Affiliations

Applied Optics, Vol. 25, Issue 20, pp. 3767-3772 (1986)

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The laboratory realization of smart matched spatial filters (specifically snythetic discriminant functions) is considered and studied via computer simulation. The realization of these distortion-invariant correlator functions by computer-generated hologram and other methods is considered. Multiclass filters are addressed in this work. Phase-only filters and filters with a quantized number of amplitude and phase levels are considered. Phase-only filters are found to perform well for some imagery, but filters with some amplitude response are preferable. We also considered the number of phase and magnitude levels required and found four levels of each to be adequate.

© 1986 Optical Society of America

Original Manuscript: April 9, 1986
Published: October 15, 1986

David Casasent and William A. Rozzi, "Computer-generated and phase-only synthetic discriminant function filters," Appl. Opt. 25, 3767-3772 (1986)

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  1. D. Casasent, “Unified Synthetic Discriminant Function Computational Formulation,” Appl. Opt. 23, 1620 (1984). [CrossRef] [PubMed]
  2. B. V. K. Vijaya Kumar, E. Pochapsky, D. Casasent, “Optimality Considerations in Modified Matched Spatial Filters,” Proc. Soc. Photo-Opt. Instrum. Eng. 519, 85 (1984).
  3. W. T. Chang, D. Casasent, D. Fetterly, “SDF Control of Correlation Plane Structure for 3-D Object Representation and Recognition,” Proc. Soc. Photo-Opt. Instrum. Eng. 507, 9 (1984).
  4. D. Casasent, W. Rozzi, D. Fetterly, “Projection Synthetic Discriminant Function Performance,” Opt. Eng. 23, 716 (1984). [CrossRef]
  5. D. Casasent, W. Rozzi, D. Fetterly, “Correlation Synthetic Discriminant Functions for Object Recognition and Classification in High Clutter,” Proc. Soc. Photo-Opt. Instrum. Eng. 575, (Aug.1985).
  6. D. Casasent, W. T. Chang, “Correlation Synthetic Discriminant Functions,” Appl. Opt. 25, 2343 (1986). [CrossRef] [PubMed]
  7. J. Horner, P. Gianino, “Phase-Only Matched Filtering,” Appl. Opt. 23, 812 (1984). [CrossRef] [PubMed]
  8. P. Gianino, J. Horner, “Additional Properties of the Phase-Only Correlation Filter,” Opt. Eng. 23, 695 (1984). [CrossRef]
  9. J. Riggins, S. Butler, “Simulation of Synthetic Discriminant Function Optical Implementation,” Opt. Eng. 23, 721 (1984). [CrossRef]
  10. J. L. Horner, H. O. Bartelt, “Two-Bit Correlation,” Appl. Opt. 24, 2889 (1985). [CrossRef] [PubMed]
  11. H. Bartelt, J. Horner, “Improving Binary Phase Correlation Filters Using Iterative Techniques,” Appl. Opt. 24, 2894 (1985). [CrossRef] [PubMed]
  12. H. J. Caulfield, “Linear Combinations of Filters for Character Recognition: a Unified Treatment,” Appl. Opt. 19, 3877 (1980); Y. N. Hsu, H. H. Arsenault, “Optical Pattern Recognition Using Circular Harmonic Expansion,” Appl. Opt. 21, 4016 (1982). [CrossRef] [PubMed]
  13. A. V. Oppenheim, J. S. Lim, “The Importance of Phase in Signals,” Proc. IEEE 69, 5129 (1981). [CrossRef]

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