OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 434–438

Sampling-theory approach to eigenwavefronts of imaging systems

Kedar Khare and Nicholas George  »View Author Affiliations


JOSA A, Vol. 22, Issue 3, pp. 434-438 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000434


View Full Text Article

Enhanced HTML    Acrobat PDF (160 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a direct method based on the sampling theorem for computing eigenwavefronts associated with linear space-invariant imaging systems (including aberrated imaging systems). A potential application of the eigenwavefronts to inverse problems in imaging is discussed. A noise-dependent measure for the information-carrying capacity of an imaging system is also proposed.

© 2005 Optical Society of America

OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.3190) Image processing : Inverse problems
(110.2990) Imaging systems : Image formation theory

History
Original Manuscript: June 4, 2004
Revised Manuscript: September 8, 2004
Manuscript Accepted: September 21, 2004
Published: March 1, 2005

Citation
Kedar Khare and Nicholas George, "Sampling-theory approach to eigenwavefronts of imaging systems," J. Opt. Soc. Am. A 22, 434-438 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-3-434


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  2. C. E. Shannon, “Communication in the presence of noise,” Proc. IRE 37, 10–21 (1949). [CrossRef]
  3. C. K. Rushforth, R. W. Harris, “Restoration, resolution, and noise,” J. Opt. Soc. Am. 58, 539–545 (1968). [CrossRef]
  4. G. Toraldo Di Francia, “Degrees of freedom of an image,” J. Opt. Soc. Am. 59, 799–804 (1969). [CrossRef] [PubMed]
  5. F. Gori, “Integral equations for incoherent imagery,” J. Opt. Soc. Am. 64, 1237–1243 (1974). [CrossRef]
  6. M. Bendinelli, A. Consortini, L. Ronchi, B. R. Frieden, “Degrees of freedom and eigenfunctions for the noisy image,” J. Opt. Soc. Am. 64, 1498–1502 (1974). [CrossRef]
  7. M. Bertero, E. R. Pike, “Resolution in diffraction-limited imaging: a singular value analysis,” Opt. Acta 29, 727–746 (1982). [CrossRef]
  8. D. Slepian, H. O. Pollak, “Prolate spheroidal wave functions, Fourier analysis and uncertainty—I,” Bell Syst. Tech. J. 40, 43–63 (1961). [CrossRef]
  9. K. Khare, N. George, “Sampling theory approach to prolate spheroidal wave-functions,” J. Phys. A Math. Gen. 36, 10011–10021 (2003). [CrossRef]
  10. A. N. Tikhonov, V. Y. Arsenin, Solutions of Ill-Posed Problems (Winston, Washington, D.C., 1977).
  11. M. Bertero, P. Boccacci, Introduction to Inverse Problems in Imaging (Institute of Physics, London, 1998).
  12. The linear independence follows from the fact that sinc(2Bx-m)and sinc(2Bx-k)are orthogonal over (-∞, ∞) for m≠k.
  13. K. Khare, “Mathematical topics in imaging: sampling theory and eigenfunction analysis of imaging systems,” Ph.D. thesis (University of Rochester, Rochester, N.Y., 2004).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited