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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 4 — Feb. 1, 2012
  • pp: A17–A26

Applications of the phase transfer function of digital incoherent imaging systems

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


Applied Optics, Vol. 51, Issue 4, pp. A17-A26 (2012)
http://dx.doi.org/10.1364/AO.51.000A17


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Abstract

The phase of the optical transfer function is advocated as an important tool in the characterization of modern incoherent imaging systems. It is shown that knowledge of the phase transfer function (PTF) can benefit a diverse array of applications involving both traditional and computational imaging systems. Areas of potential benefits are discussed, and three applications are presented, demonstrating the utility of the phase of the complex frequency response in practical scenarios. In traditional imaging systems, the PTF is shown via simulation results to be strongly coupled with odd-order aberrations and hence useful in misalignment detection and correction. In computational imaging systems, experimental results confirm that the PTF can be successfully applied to subpixel shift estimation and wavefront coding characterization tasks.

© 2012 Optical Society of America

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

History
Original Manuscript: October 3, 2011
Revised Manuscript: December 21, 2011
Manuscript Accepted: December 23, 2011
Published: January 27, 2012

Citation
Vikrant R. Bhakta, Manjunath Somayaji, and Marc P. Christensen, "Applications of the phase transfer function of digital incoherent imaging systems," Appl. Opt. 51, A17-A26 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-4-A17


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References

  1. H. H. Hopkins, “Image shift, phase distortion and the optical transfer function,” Opt. Acta 31, 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 55, 173–182 (1980) (in German).
  3. C. S. Williams and O. A. Becklund, in Introduction to the Optical Transfer Function (Wiley, 1988), pp. 207–208.
  4. V. R. Bhakta, M. Somayaji, and M. P. Christensen, “Effects of sampling on the phase transfer function of incoherent imaging systems,” Opt. Express 19, 24609–24626 (2011). [CrossRef]
  5. E. Dowski and W. T. Cathey, “Extended depth of field through wave-front coding,” Appl. Opt. 34, 1859–1866 (1995). [CrossRef]
  6. W. Singer, M. Totzeck, and H. Gross, in Handbook of Optical Systems, Vol. 2, Physical Image Formation, 1st ed. (Wiley-VCH, 2005), p. 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, 2911–2923 (2006). [CrossRef]
  8. S. Barwick, “Defocus sensitivity optimization using the defocus Taylor expansion of the optical transfer function,” Appl. Opt. 47, 5893–5902 (2008). [CrossRef]
  9. M. Demenikov and A. R. Harvey, “Image artifacts in hybrid imaging systems with a cubic phase mask,” Opt. Express 18, 8207–8212 (2010). [CrossRef]
  10. J. W. Goodman, in Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, 1996), pp. 146–151.
  11. R. Barakat and A. Houston, “Transfer function of an optical system in the presence of off-axis aberrations,” J. Opt. Soc. Am. 55, 1142–1148 (1965). [CrossRef]
  12. A. Utkin, R. Vilar, and A. J. Smirnov, “On the relation between the wave aberration function and the phase transfer function for an incoherent imaging system with circular pupil,” Eur. Phys. J. D 17, 145–148 (2001). [CrossRef]
  13. J. Gaskill, in Linear Systems, Fourier Transforms, and Optics (Wiley, 1978), pp. 60–62.
  14. C. D. Claxton and R. C. Staunton, “Measurement of the point-spread function of a noisy imaging system,” J. Opt. Soc. Am. A 25, 159–170 (2008). [CrossRef]
  15. N. Joshi, R. Szeliski, and D. Kriegman, “PSF estimation using sharp edge prediction,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2008 (IEEE, 2008), pp. 1–8.
  16. MITRE Corporation, “Image quality evaluation,” http://www.mitre.org/tech/mtf/ , 2001.
  17. B. Tatian, “Method for obtaining the transfer function from the edge response function,” J. Opt. Soc. Am. 55, 1014–1019 (1965). [CrossRef]
  18. S. Reichenbach, S. Park, and R. Narayanswamy, “Characterizing digital image acquisition devices,” Opt. Eng. 30, 170–177 (1991). [CrossRef]
  19. D. Williams and P. Burns, “Low-frequency MTF estimation for digital imaging devices using slanted-edge analysis,” Proc. SPIE 5294, 93–101 (2003). [CrossRef]
  20. 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.
  21. 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 (Optical Society of America, 2011), paper CTuB1.
  22. D. Keren, S. Peleg, and R. Brada, “Image sequence enhancement using sub-pixel displacement,” in Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (IEEE, 1988), pp. 742–746.
  23. J. R. Bergen, P. Anandan, K. J. Hanna, and R. Hingorani, “Hierarchical model-based motion estimation,” in Proceedings of the 2nd European Conference on Computer Vision (ECCV ’92), Lecture Notes in Computer Science (Springer-Verlag, 1992), pp. 237–252.
  24. B. Zitova and J. Flusser, “Image registration methods: a survey,” Image Vis. Comput. 21, 977–1000 (2003). [CrossRef]
  25. P. Vandewalle, S. Süsstrunk, and M. Vetterli, “A frequency domain approach to registration of aliased images with application to super-resolution,” EURASIP J. Appl. Signal Process. (special issue on super-resolution) 2006, 71459 (2006). [CrossRef]
  26. H. Foroosh, J. B. Zerubia, and M. Berthod, “Extension of phase correlation to subpixel registration,” IEEE Trans. Image Process. 11, 188–200 (2002). [CrossRef]
  27. L. Lucchese and G. M. Cortelazzo, “A noise-robust frequency domain technique for estimating planar roto-translations,” IEEE Trans. Signal Process. 48, 1769–1786 (2000). [CrossRef]
  28. 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, 33–54(1966). [CrossRef]
  29. Gonzalo Muyo and Andy R. Harvey, “Decomposition of the optical transfer function: wavefront coding imaging systems,” Opt. Lett. 30, 2715–2717 (2005). [CrossRef]

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