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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 28, Iss. 6 — Mar. 15, 1989
  • pp: 1263–1278

Image algebra representation of parallel optical binary arithmetic

Kung-Shiuh Huang, B. Keith Jenkins, and Alexander A. Sawchuk  »View Author Affiliations


Applied Optics, Vol. 28, Issue 6, pp. 1263-1278 (1989)
http://dx.doi.org/10.1364/AO.28.001263


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Abstract

A binary image algebra (BIA) that gives a mathematical description of parallel processing operations is described. Rigorous and concise BIA representations of parallel arithmetic and symbolic substitution operations are given. A sequence of programming steps for implementation of these operations on a parallel architecture is specified by the BIA representation. Examples of arithmetic operations implemented on a digital optical cellular image processor architecture are given.

© 1989 Optical Society of America

History
Original Manuscript: February 11, 1988
Published: March 15, 1989

Citation
Kung-Shiuh Huang, B. Keith Jenkins, and Alexander A. Sawchuk, "Image algebra representation of parallel optical binary arithmetic," Appl. Opt. 28, 1263-1278 (1989)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-6-1263


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References

  1. A. A. Sawchuk, T. C. Strand, “Digital Optical Computing,” Proc. IEEE 72, 758 (1984). [CrossRef]
  2. Special Issue on Optical Computing, Proc. IEEE 72, No. 7 (1984).
  3. A. Huang, Y. Tsunoda, J. W. Goodman, S. Ishihara, “Optical Computation Using Residue Arithmetic,” Appl. Opt. 18, 149 (1979). [CrossRef] [PubMed]
  4. D. Psaltis, D. Casasent, “Optical Residue Arithmetic: A Correlation Approach,” Appl. Opt. 18, 163 (1979). [CrossRef] [PubMed]
  5. F. A. Horrigan, W. W. Stoner, “Residue-Based Optical Processor,” Proc. Soc. Photo-Opt. Instrum. Eng. 185, 19 (1979).
  6. A. M. Tai, I. Cindrich, J. R. Fienup, C. C. Aleksoff, “Optical Residue Arithmetic Computer with Programmable Computation Modules,” Appl. Opt. 18, 2812 (1979). [CrossRef] [PubMed]
  7. G. Abraham, “Multiple-Values Logic for Optoelectronics,” Opt. Eng. 25, 3 (1986). [CrossRef]
  8. T. T. Tao, D. M. Campbell, “Multiple-Valued Logic: An Implementation,” Opt. Eng. 25, 14 (1986).
  9. R. Arrathoon, S. Kozaitis, “Shadow Casting for Multiple-Valued Associative Logic,” Opt. Eng. 25, 29 (1986). [CrossRef]
  10. S. L. Hurst, “Multiple-Valued Threshold Logic: Its Status and Its Realization,” Opt. Eng. 25, 44 (1986). [CrossRef]
  11. B. K. Jenkins, A. A. Sawchuk, T. C. Strand, R. Forchheimer, B. H. Soffer, “Sequential Optical Logic Implementation,” Appl. Opt. 23, 3455 (1984). [CrossRef] [PubMed]
  12. B. K. Jenkins, P. Chavel, R. Forchheimer, A. A. Sawchuk, T.C. Strand, “Architectural Implications of a Digital Optical Processor,” Appl. Opt. 23, 3465 (1984). [CrossRef] [PubMed]
  13. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Binary Image Algebra and Digital Optical Cellular Image Processors,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 20–23.
  14. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “A Cellular Hypercube Architecture for Image Processing,” Proc. Soc. Photo-Opt. Instrum. Eng. 829, 331 (1987).
  15. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Optical Cellular Logic Architectures Based on Binary Image Algebra,” in Proceedings, IEEE Computer Society Workshop on Computer Architecture for Pattern Analysis and Machine Intelligence, Seattle (Oct.1987), pp. 19 –26.
  16. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Binary Image Algebra and Optical Cellular Logic Processor Design,” Comput. Vision Graphics Image Process.Feb.1989.
  17. A. Huang, “Parallel Algorithms for Optical Digital Computers,” in Technical Digest, IEEE Tenth International Optical Computing Conference (1983), pp. 13 –17.
  18. K. Brenner, A. Huang, “An Optical Processor Based on Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1985), paper WA4.
  19. K.-H. Brenner, A. Huang, N. Streibl, “Digital Optical Computing with Symbolic Substitution,” Appl. Opt. 25, 3054 (1986). [CrossRef] [PubMed]
  20. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Binary Image Algebra Representations of Optical Cellular Logic and Symbolic Substitution,” in Technical Digest of 1987 Annual Meeting (Optical Society of America, Washington, DC, 1987).
  21. D. Psaltis, R. A. Athale, “High Accuracy Computation with Linear Analog Optical Systems: A Critical Study,” Appl. Opt. 25, 3071 (1986). [CrossRef] [PubMed]
  22. J. Serra, Image Analysis and Mathematical Morphology (Academic, New York, 1982).
  23. K. S. Huang, B. K. Jenkins, A. A. Sawchuk, “Programming a Digital Optical Cellular Image Processor,” in Technical Digest of 1987 Annual Meeting (Optical Society of America, Washington, DC, 1987).
  24. B. K. Jenkins, A. A. Sawchuk, “Optical Cellular Logic Architectures for Image Processing,” in Proceedings, IEEE Computer Society Workshop on Computer Architecture for Pattern Analysis and Image Database Management, Florida (Nov.1985), pp. 61–65.
  25. K.-H. Brenner, “New Implementation of Symbolic Substitution Logic,” Appl. Opt. 25, 3061 (1986). [CrossRef] [PubMed]
  26. K.-H. Brenner, G. Stucke, “Programmable Optical Processor Based on Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 6–8.
  27. J. N. Mait, K.-H. Brenner, “Optical Systems for Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 12–15.
  28. T. J. Cloonan, “Strengths and Weaknesses of Optical Architectures Based on Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 12–15.
  29. C. D. Capps, R. A. Falk, T. L. Houk, “Optical Arithmetic/Logic Unit Based on Residue Number Theory and Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 62–65.
  30. P. A. Ramamoorthy, S. Antony, “Optical MSD Adder Using Polarization Coded Symbolic Substitution,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 111–114.
  31. Jeon Ho-In, “Digital Optical Processor Based on Symbolic Substitution Using Matched Filtering,” in Technical Digest of Topical Meeting on Optical Computing (Optical Society of America, Washington, DC, 1987), pp. 115–118.
  32. M. T. Taso et al., “Symbolic Substitution Using ZnS Interference Filters,” Opt. Eng. 26, 41 (1987).

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