OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 47, Iss. 31 — Nov. 1, 2008
  • pp: 5893–5902

Defocus sensitivity optimization using the defocus Taylor expansion of the optical transfer function

Shane Barwick  »View Author Affiliations


Applied Optics, Vol. 47, Issue 31, pp. 5893-5902 (2008)
http://dx.doi.org/10.1364/AO.47.005893


View Full Text Article

Enhanced HTML    Acrobat PDF (2067 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The Taylor expansion of the incoherent optical transfer function with respect to defocus is a valuable tool in the design and analysis of computational imaging systems. It efficiently describes the behavior of the system near best focus and beyond. Formulas for computing the coefficients in this expansion are derived and shown to be amenable to efficient digital calculation. Their application to the design of phase masks for systems insensitive to defocus aberrations and for systems that estimate object range are explored.

© 2008 Optical Society of America

OCIS Codes
(110.4850) Imaging systems : Optical transfer functions
(150.5670) Machine vision : Range finding
(150.6910) Machine vision : Three-dimensional sensing
(110.1758) Imaging systems : Computational imaging
(110.3925) Imaging systems : Metrics

ToC Category:
Imaging Systems

History
Original Manuscript: May 16, 2008
Revised Manuscript: September 9, 2008
Manuscript Accepted: September 16, 2008
Published: October 30, 2008

Citation
Shane Barwick, "Defocus sensitivity optimization using the defocus Taylor expansion of the optical transfer function," Appl. Opt. 47, 5893-5902 (2008)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-47-31-5893


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. O. Castañeda, L. R. B. Valdos, and E. Montes, “Ambiguity function as a design tool for high focal depth,” Appl. Opt. 27, 790-795 (1988). [CrossRef]
  2. J. O. Castañeda, R. Ramos, and A. N. Isgleas, “High focal depth by apodization and digital restoration,” Appl. Opt. 27, 2583-2586 (1988). [CrossRef]
  3. E. Dowski and W. Cathey, “Extended depth of field through wavefront coding,” Appl. Opt. 34, 1859-1866 (1995). [CrossRef] [PubMed]
  4. P. Favaro and S. Soatto, “A geometric approach to shape from defocus” IEEE Trans. Pattern Anal. Mach. Intell. 27, 406-417 (2005). [CrossRef] [PubMed]
  5. A. Greengard, Y. Y. Schechner, and R. Piestun, “Depth from diffracted rotation,” Opt. Lett. 31, 181-183 (2006). [CrossRef] [PubMed]
  6. J. O. Castañeda, “Bilinear optical systems Wigner distribution function and ambiguity function representations,” Opt. Acta 1, 255-260 (1984).
  7. H. M. Ozaktas, Z. Zalevsky, and M. A. Kutay, The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, 2001).
  8. Q. Yang, L. Liu, J. Sun, Y. Zhu, and W. Lu, “Analysis of optical systems with extended depth of field using the Wigner distribution function,” Appl. Opt. 45, 8586-8595 (2006). [CrossRef] [PubMed]
  9. S. Prasad, T. Torgersen, V. Pauca, R. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE 5108, 1-12 (2003). [CrossRef]
  10. S. Barwick, “Efficient metric for pupil-phase engineering,” Appl. Opt. 46, 7258-7261 (2007). [CrossRef] [PubMed]
  11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).
  12. K. Brenner, A. Lohmann, and J. O. Casteñeda, “The ambiguity function as a polar display of the OTF,” Opt. Commun. 44, 323-326 (1983). [CrossRef]
  13. S. Mallat, A Wavelet Tour of Signal Processing (Academic, 1998).
  14. S. Barwick, “Increasing the information acquisition volume in iris recognition systems,” Appl. Opt. 47, 4684-4691(2008). [CrossRef] [PubMed]
  15. W. Zhang, Zi Ye, T. Zhao, Y. Chen, and F. Yu, “Point spread function characteristics analysis of wavefront coding systems,” Opt. Express 15, 1543-1552 (2007). [CrossRef] [PubMed]
  16. R. Piestun, Y. Y. Schechner, and J. Shamir, “Propagation invariant wave fields with finite energy,” J. Opt. Soc. Am. A 17, 294-303 (2000). [CrossRef]

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