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Applied Optics

Applied Optics


  • Vol. 44, Iss. 1 — Jan. 1, 2005
  • pp: 32–40

Geometric superresolution by code division multiplexing

Jonathan Solomon, Zeev Zalevsky, and David Mendlovic  »View Author Affiliations

Applied Optics, Vol. 44, Issue 1, pp. 32-40 (2005)

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In many highly resolved optical systems the resolution is limited not by the optics but by the CCD’s nonzero pixel size. As a result, overall resolution is decreased. Here we propose a novel approach to enhancing resolution beyond the limit set by the CCD’s pixels. This method does not involve additional mechanical elements, such as those used for microscans. In this scheme neither the CCD nor additional elements are moved. The geometric superresolving procedure is based on code-division multiplexing, with all its inherent benefits, such as relative noise immunity to single-tone interference. A setup is proposed for coherent and incoherent illumination, with slight modifications for the latter. A theoretical analysis of the setup is presented and compared with empirical results. This scheme is shown to enhance one-dimensional image resolution with the use of only a simple mask that doubles image resolution. This method can easily be expanded to two-dimensional images and to resolution-enhancement factors greater than 2.

© 2005 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.6640) Image processing : Superresolution
(110.4850) Imaging systems : Optical transfer functions

Original Manuscript: August 8, 2003
Revised Manuscript: December 1, 2003
Manuscript Accepted: January 14, 2004
Published: January 1, 2005

Jonathan Solomon, Zeev Zalevsky, and David Mendlovic, "Geometric superresolution by code division multiplexing," Appl. Opt. 44, 32-40 (2005)

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  1. E. Abbe, “Beitrage zur Theorie des Mikroskops und der Mikroskopischen wahrnehmung,” Arch. Mikrosk. Anat. Entwicklung mech. 9, 413–468 (1873). [CrossRef]
  2. W. Lukosz, “Optical systems with resolving powers exceeding the classical limit,” J. Opt. Soc. Am. 56, 1463–1472 (1966). [CrossRef]
  3. W. Gartner, A. W. Lohmann, “An experiment going beyond Abbe’s limit of diffraction,” Z. Phys. 174, 18–21 (1963).
  4. A. I. Kartashev, “Optical systems with enhanced resolving power,” Opt. Spectrosc. 9, 204–206 (1960).
  5. R. Riesenberg, Th. Seifert, A. Berka, U. Dillner, “Optomicromechanical superresolution detector system,” in Design and Engineering of Optical Systems II, F. Merkle, ed., Proc. SPIE3737, 367–383 (1999).
  6. S. Peleg, D. Keren, L. Schweitzer, “Improving image resolution using subpixel motion,” Phys. Rev. Lett. 5, 223–226 (1987).
  7. D. Keren, S. Peleg, R. Brada, “Image sequence enhancement using sub-pixel displacements,” Comput. Vision Pattern Recogn. 88, 742–746 (1988).
  8. M. Bertero, C. De Mol, “Superresolution by data inversion,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1997), Vol. 36, pp. 130–178.
  9. Z. Zalevsky, D. Mendelovic, A. Marom, “Special sensor masking for exceeding system geometrical resolving power,” Opt. Eng. 39, 1936–1942 (2000). [CrossRef]
  10. Z. Zalevsky, D. Mendelovic, A. W. Lohmann, “Understanding superresolution in Wigner space,” J. Opt. Soc. Am. A 17, 2422–2430 (2000). [CrossRef]
  11. A. J. Viterbi, CDMA Principles of Spread Spectrum Communication (Addison-Wesley, Reading, Mass., 1995.
  12. J. Goodman, Introduction to Fourier Optics, 2nd international ed. (McGraw-Hill, Singapore, 1996), pp. 101–104.
  13. H. Taub, D. L. Schilling, Principles of Communication Systems, 2nd ed. (McGraw-Hill, New York, 1986).

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