OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 24 — Nov. 21, 2011
  • pp: 24609–24626

Effects of sampling on the phase transfer function of incoherent imaging systems

Vikrant R. Bhakta, Manjunath Somayaji, and Marc P. Christensen  »View Author Affiliations


Optics Express, Vol. 19, Issue 24, pp. 24609-24626 (2011)
http://dx.doi.org/10.1364/OE.19.024609


View Full Text Article

Enhanced HTML    Acrobat PDF (1625 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

With the advent of modern-day computational imagers, the phase of the optical transfer function may no longer be summarily ignored. This study discusses some important properties of the phase transfer function (PTF) of digital incoherent imaging systems and their implications on the performance and characterization of these systems. The effects of aliasing and sub-pixel image shifts on the phase of the complex frequency response of these sampled systems are described, including an examination of the specific case of moderate aliasing. Key properties of this function in aliased imaging systems are derived and their potential treatment to a range of diverse applications encompassing traditional and computational imaging systems is discussed.

© 2011 OSA

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.4850) Imaging systems : Optical transfer functions
(110.1758) Imaging systems : Computational imaging
(110.7348) Imaging systems : Wavefront encoding

ToC Category:
Imaging Systems

History
Original Manuscript: September 19, 2011
Revised Manuscript: November 5, 2011
Manuscript Accepted: November 7, 2011
Published: November 16, 2011

Citation
Vikrant R. Bhakta, Manjunath Somayaji, and Marc P. Christensen, "Effects of sampling on the phase transfer function of incoherent imaging systems," Opt. Express 19, 24609-24626 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-24-24609


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. H. H. Hopkins, “Image shift, phase distortion and the optical transfer function,” Opt. Acta (Lond.)31(3), 345–368 (1984). [CrossRef]
  2. K.-J. Rosenbruch and R. Gerschler, “The Meaning of the Phase Transfer Function and the Modular Transfer Function in Using OTF as a Criterion for Image Quality,” Optik (Stuttg.)55(2), 173–182 (1980) (In German).
  3. C. S. Williams and O. A. Becklund, Introduction to the Optical Transfer Function (Wiley, 1988), pp. 207–208.
  4. J. Mait, R. Athale, and J. van der Gracht, “Evolutionary paths in imaging and recent trends,” Opt. Express11(18), 2093–2101 (2003). [CrossRef] [PubMed]
  5. E. R. Dowski and W. T. Cathey, “Extended depth of field through wave-front coding,” Appl. Opt.34(11), 1859–1866 (1995). [CrossRef] [PubMed]
  6. W. Singer, M. Totzeck, and H. Gross, Handbook of Optical Systems, Volume 2, Physical Image Formation, 1st ed. (Wiley-VCH, November 7, 2005). pp. 446.
  7. M. Somayaji and M. P. Christensen, “Enhancing form factor and light collection of multiplex imaging systems by using a cubic phase mask,” Appl. Opt.45(13), 2911–2923 (2006). [CrossRef] [PubMed]
  8. M. Demenikov and A. R. Harvey, “Image artifacts in hybrid imaging systems with a cubic phase mask,” Opt. Express18(8), 8207–8212 (2010). [CrossRef] [PubMed]
  9. J. Gaskill, Linear Systems, Fourier Transforms, and Optics (Wiley, 1978), pp. 60–62.
  10. R. Barakat and A. Houston, “Transfer Function of an Optical System in the Presence of Off-Axis Aberrations,” J. Opt. Soc. Am.55(9), 1142–1148 (1965). [CrossRef]
  11. R. E. Hufnagel, “Significance of the Phase of Optical Transfer Functions,” J. Opt. Soc. Am.58(11), 1505–1506 (1968). [CrossRef]
  12. W. Wittenstein, J. C. Fontanella, A. R. Newbery, and J. Baars, “The Definition of the OTF and the Measurement of Aliasing for Sampled Imaging Systems,” Opt. Act.29(1), 41–50 (1982). [CrossRef]
  13. R. H. Vollmerhausen, D. A. Reago, and R. G. Driggers, Analysis and Evaluation of Sampled Imaging Systems (SPIE Press, 2010), Ch-3, PP 68.
  14. R. D. Fiete, “Image quality and λFN/p for remote sensing systems,” Opt. Eng.38(7), 1229–1240 (1999). [CrossRef]
  15. B. Tatian, “Method for obtaining the transfer function from the edge response function,” J. Opt. Soc. Am.55(8), 1014–1019 (1965).
  16. D. Williams and P. Burns, “Low-frequency MTF estimation for digital imaging devices using slanted-edge analysis,” Proc. SPIE5294, 93–101 (2003). [CrossRef]
  17. V. R. Bhakta, M. Somayaji, and M. P. Christensen, “Phase Transfer Function of Sampled Imaging Systems,” in Computational Optical Sensing and Imaging, OSA Technical Digest (CD) (Optical Society of America, 2011), paper CTuB1.
  18. H. H. Hopkins and H. J. Tiziani, “A theoretical and experimental study of lens centering errors and their influence on optical image quality,” Br. J. Appl. Phys.17(1), 33–54 (1966). [CrossRef]
  19. V. R. Bhakta, M. Somayaji, and M. P. Christensen, “Image-Based Measurement of Phase Transfer Function,” in Digital Image Processing and Analysis, OSA Technical Digest (CD) (Optical Society of America, 2010), paper DMD1.

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