High Depth-of-Focus Integral Imaging with Asymmetric Phase Masks



In this chapter, we address the problem of the limited depth-of-field and depth-of-focus of integral imaging systems. We first describe the origin of the problem in both the pickup and the reconstruction stages. Then we show how the depth-of-field/depth-of-focus can be significantly improved by placing an asymmetric phase mask in front of each lenslet. We apply this technique in the pickup as well as in the reconstruction stages, and we demonstrate that very out-of-focus objects can be resolved, at the price of a slight diffusion effect. Moreover, since the use of a phase mask preserves all the spectrum information within its passband, it is possible to apply a digital restoration step in order to eliminate the diffusion effect and retrieve clean images over a large range of distances.


Point Spread Function Object Distance Integral Imaging Elemental Image Phase Mask 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The authors acknowledge financial support from Consejo Nacional de Ciencia y Tecnología of Mexico (CONACyT) under grant CB05-1-J49232-F.


  1. [1]
    Javidi B, Okano F, eds (2002) Three Dimensional Television, Video, and Display Technologies, Springer BerlinGoogle Scholar
  2. [2]
    Arai J, Kawai H, Okano F (2007) Microlens arrays for integral imaging system. Appl Opt 45:9066–9078ADSCrossRefGoogle Scholar
  3. [3]
    Castro A, Frauel Y, Javidi B (2007) Integral imaging with large depth-of-field using an asymmetric phase mask. Opt Express 15:10266–10273ADSCrossRefGoogle Scholar
  4. [4]
    Yoo H, Shin D-H (2007) Improved analysis on the signal property of computational integral imaging system. Opt Express 15:14107–14114ADSCrossRefGoogle Scholar
  5. [5]
    Tavakoli B, Panah MD, Javidi B, et al. (2007) Performance of 3D integral imaging with position uncertainty. Opt Express 15:11889–11902ADSCrossRefGoogle Scholar
  6. [6]
    Castro A, Frauel Y, Javidi B (2007) Improving the depth-of-focus of integral imaging systems using asymmetric phase masks. AIP Conf Proc 949:53–58ADSCrossRefGoogle Scholar
  7. [7]
    Hwang D-C, Shin D-H, Kim ES (2007) A novel three-dimensional digital watermarking scheme basing on integral imaging. Opt Commun 277:40–49ADSCrossRefGoogle Scholar
  8. [8]
    Yeom S, Javidi B, Watson E (2007) Three-dimensional distortion-tolerant object recognition using photon-counting integral imaging. Opt Express 15:1533–1533ADSGoogle Scholar
  9. [9]
    Hong S-H, Javidi B (2005) Three-dimensional visualization of partially occluded objects using integral imaging. J Disp Technol 1:354–359CrossRefGoogle Scholar
  10. [10]
    Park J-H, Kim H-R, Kim Y (2005) Depth-enhanced three-dimensional-two-dimensional convertible display based on modified integral imaging. Opt Lett 29:2734–2736ADSCrossRefGoogle Scholar
  11. [11]
    Frauel Y, Tajahuerce E, Matoba O, et al. (2004) Comparison of passive ranging integral imaging and active imaging digital holography for three-dimensional object recognition. Appl Opt 43:452–462ADSCrossRefGoogle Scholar
  12. [12]
    Jang J-S, Jin F, Javidi B (2003) Three-dimensional integral imaging with large depth-of-focus by use of real and virtual fields. Opt Lett 28:1421–1423ADSCrossRefGoogle Scholar
  13. [13]
    Jang J-S, Javidi B (2004) Depth and lateral size control of three-dimensional images in projection integral imaging. Opt Express 12:3778–3790ADSCrossRefGoogle Scholar
  14. [14]
    Jang J-S, Javidi B (2003) Large depth-of-focus time-multiplexed three-dimensional integral imaging by use of lenslets with nonuniform focal lens and aperture sizes. Opt Lett 28:1925–1926ADSGoogle Scholar
  15. [15]
    Hain M, von Spiegel W, Schmiedchen M, et al. (2005) 3D integral imaging using diffractive Fresnel lens array. Opt Express 13:315–326ADSCrossRefGoogle Scholar
  16. [16]
    Martínez-Corral M, Javidi B, Martínez-Cuenca R, et al. (2004) Integral imaging with improved depth-of-field by use of amplitude-modulated microlens arrays. Appl Opt 43:5806–5813ADSCrossRefGoogle Scholar
  17. [17]
    Martínez-Cuenca R, Saavedra G, Martínez-Corral M, et al. (2004) Enhanced depth-of-field integral imaging with sensor resolution constraints. Opt Express 12:5237–5242ADSCrossRefGoogle Scholar
  18. [18]
    Martínez-Cuenca R, Saavedra G, Martínez-Corral M, et al. (2005) Extended depth-of-field 3-D display and visualization by combination of amplitude-modulated microlenses and deconvolution tools. J Disp Technol 1:321–327CrossRefGoogle Scholar
  19. [19]
    Lippmann G (1908) Épreuves réversibles. Photographies intégrales. C R Acad Sci 146:446–451Google Scholar
  20. [20]
    Okano F, Hoshino H, Arai J, et al. (1997) Real-time pickup method for a three-dimensional image based on integral photography.Appl Opt 36:1958–1603CrossRefGoogle Scholar
  21. [21]
    Dowski ER, Cathey WT (1995) Extended depth-of-field through wave-front coding. Appl Opt 34:1859–1865ADSCrossRefGoogle Scholar
  22. [22]
    Ojeda-Castañeda J, Castro A, Santamaría J (1999) Phase mask for high focal depth. Proc SPIE 3749:14ADSCrossRefGoogle Scholar
  23. [23]
    Castro A, Ojeda-Castañeda J (2004) Asymmetric phase mask for extended depth-of-field. Appl Opt 43:3474–3479ADSCrossRefGoogle Scholar
  24. [24]
    Sauceda A, Ojeda-Castañeda J (2004) High focal depth with fractional-power wave fronts. Opt Lett 29:560–562ADSCrossRefGoogle Scholar
  25. [25]
    Mezouari S, Harvey AR (2003) Phase pupil functions reduction of defocus and spherical aberrations. Opt Lett 28:771–773ADSCrossRefGoogle Scholar
  26. [26]
    Castro A, Ojeda-Castañeda J (2005) Increased depth-of-field with phase-only filters: ambiguity function. Proc SPIE 5827:1–11ADSCrossRefGoogle Scholar
  27. [27]
    Castro A, Ojeda-Castañeda J, Lohmann AW (2006) Bow-tie effect: differential operator. Appl Opt 45:7878–7884ADSCrossRefGoogle Scholar
  28. [28]
    Mino M, Okano Y (1971) Improvement in the OTF of a defocused optical system through the use of shade apertures. Appl Opt 10:2219–2224ADSCrossRefGoogle Scholar
  29. [29]
    Hausler G (1972) A method to increase the depth-of-focus by two step image processing. Opt Commun 6:38–42ADSCrossRefGoogle Scholar
  30. [30]
    Ojeda-Castañeda J, Andrés P, Díaz A (1986) Annular apodizers for low sensitivity to defocus and to spherical aberration. Opt Lett 5:1233–1236Google Scholar
  31. [31]
    Ojeda-Castañeda J, Berriel-Valdos LR, Montes E (1987) Bessel annular apodizers: imaging characteristics. Appl Opt 26:2770-2772ADSCrossRefGoogle Scholar
  32. [32]
    Siegman AE (1986) Lasers. University Science, Sausalito, CAGoogle Scholar
  33. [33]
    Goodman JW (1996) Introduction to Fourier optics, 2nd Ed. Chap. 6 McGraw-Hill, New York, NYGoogle Scholar
  34. [34]
    Hopkins HH (1951) The frequency response of a defocused optical system. Proc Roy Soc Lond Series A 231:91–103MathSciNetADSCrossRefGoogle Scholar
  35. [35]
    Castleman KR (1996) Digital image processing. Prentice-Hall, Upper Saddle River, NJGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Instituto Nacional de AstrofísicaÓptica y ElectrónicaMexico

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