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

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Three-dimensional Imaging, Visualization, and Display

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Abstract

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.

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References

  1. Javidi B, Okano F, eds (2002) Three Dimensional Television, Video, and Display Technologies, Springer Berlin

    Google Scholar 

  2. Arai J, Kawai H, Okano F (2007) Microlens arrays for integral imaging system. Appl Opt 45:9066–9078

    Article  ADS  Google Scholar 

  3. Castro A, Frauel Y, Javidi B (2007) Integral imaging with large depth-of-field using an asymmetric phase mask. Opt Express 15:10266–10273

    Article  ADS  Google Scholar 

  4. Yoo H, Shin D-H (2007) Improved analysis on the signal property of computational integral imaging system. Opt Express 15:14107–14114

    Article  ADS  Google Scholar 

  5. Tavakoli B, Panah MD, Javidi B, et al. (2007) Performance of 3D integral imaging with position uncertainty. Opt Express 15:11889–11902

    Article  ADS  Google Scholar 

  6. Castro A, Frauel Y, Javidi B (2007) Improving the depth-of-focus of integral imaging systems using asymmetric phase masks. AIP Conf Proc 949:53–58

    Article  ADS  Google Scholar 

  7. Hwang D-C, Shin D-H, Kim ES (2007) A novel three-dimensional digital watermarking scheme basing on integral imaging. Opt Commun 277:40–49

    Article  ADS  Google Scholar 

  8. Yeom S, Javidi B, Watson E (2007) Three-dimensional distortion-tolerant object recognition using photon-counting integral imaging. Opt Express 15:1533–1533

    ADS  Google Scholar 

  9. Hong S-H, Javidi B (2005) Three-dimensional visualization of partially occluded objects using integral imaging. J Disp Technol 1:354–359

    Article  Google Scholar 

  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 29:2734–2736

    Article  ADS  Google Scholar 

  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 43:452–462

    Article  ADS  Google Scholar 

  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 28:1421–1423

    Article  ADS  Google Scholar 

  13. Jang J-S, Javidi B (2004) Depth and lateral size control of three-dimensional images in projection integral imaging. Opt Express 12:3778–3790

    Article  ADS  Google Scholar 

  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 28:1925–1926

    ADS  Google Scholar 

  15. Hain M, von Spiegel W, Schmiedchen M, et al. (2005) 3D integral imaging using diffractive Fresnel lens array. Opt Express 13:315–326

    Article  ADS  Google Scholar 

  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 43:5806–5813

    Article  ADS  Google Scholar 

  17. Martínez-Cuenca R, Saavedra G, Martínez-Corral M, et al. (2004) Enhanced depth-of-field integral imaging with sensor resolution constraints. Opt Express 12:5237–5242

    Article  ADS  Google Scholar 

  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 1:321–327

    Article  Google Scholar 

  19. Lippmann G (1908) Épreuves réversibles. Photographies intégrales. C R Acad Sci 146:446–451

    Google Scholar 

  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 36:1958–1603

    Article  Google Scholar 

  21. Dowski ER, Cathey WT (1995) Extended depth-of-field through wave-front coding. Appl Opt 34:1859–1865

    Article  ADS  Google Scholar 

  22. Ojeda-Castañeda J, Castro A, Santamaría J (1999) Phase mask for high focal depth. Proc SPIE 3749:14

    Article  ADS  Google Scholar 

  23. Castro A, Ojeda-Castañeda J (2004) Asymmetric phase mask for extended depth-of-field. Appl Opt 43:3474–3479

    Article  ADS  Google Scholar 

  24. Sauceda A, Ojeda-Castañeda J (2004) High focal depth with fractional-power wave fronts. Opt Lett 29:560–562

    Article  ADS  Google Scholar 

  25. Mezouari S, Harvey AR (2003) Phase pupil functions reduction of defocus and spherical aberrations. Opt Lett 28:771–773

    Article  ADS  Google Scholar 

  26. Castro A, Ojeda-Castañeda J (2005) Increased depth-of-field with phase-only filters: ambiguity function. Proc SPIE 5827:1–11

    Article  ADS  Google Scholar 

  27. Castro A, Ojeda-Castañeda J, Lohmann AW (2006) Bow-tie effect: differential operator. Appl Opt 45:7878–7884

    Article  ADS  Google Scholar 

  28. Mino M, Okano Y (1971) Improvement in the OTF of a defocused optical system through the use of shade apertures. Appl Opt 10:2219–2224

    Article  ADS  Google Scholar 

  29. Hausler G (1972) A method to increase the depth-of-focus by two step image processing. Opt Commun 6:38–42

    Article  ADS  Google Scholar 

  30. Ojeda-Castañeda J, Andrés P, Díaz A (1986) Annular apodizers for low sensitivity to defocus and to spherical aberration. Opt Lett 5:1233–1236

    Google Scholar 

  31. Ojeda-Castañeda J, Berriel-Valdos LR, Montes E (1987) Bessel annular apodizers: imaging characteristics. Appl Opt 26:2770-2772

    Article  ADS  Google Scholar 

  32. Siegman AE (1986) Lasers. University Science, Sausalito, CA

    Google Scholar 

  33. Goodman JW (1996) Introduction to Fourier optics, 2nd Ed. Chap. 6 McGraw-Hill, New York, NY

    Google Scholar 

  34. Hopkins HH (1951) The frequency response of a defocused optical system. Proc Roy Soc Lond Series A 231:91–103

    Article  MathSciNet  ADS  Google Scholar 

  35. Castleman KR (1996) Digital image processing. Prentice-Hall, Upper Saddle River, NJ

    Google Scholar 

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Acknowledgment

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

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Authors and Affiliations

  1. Instituto Nacional de Astrofísica, Óptica y Electrónica, Apartado Postal 51, Puebla, Pue. 72000, Mexico

    Albertina Castro

Authors
  1. Albertina Castro
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  2. Yann Frauel
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  3. Bahram Javidi
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Corresponding author

Correspondence to Albertina Castro .

Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering Dept, University of Connecticut, Fairfield Rd. 371, Storrs, 06269-2157, USA

    Bahram Javidi

  2. Science & Technical Res. Lab., (STRL), NHK Nippon Hoso Kyokau, Kinuta 1-10-11, Tokyo, 157-8510, Japan

    Fumio Okano

  3. School of Computer and Communication Engineering, Daegu University, Hawologog-dog 39-1, Seoul, 136-791, Korea, Republic of (South Korea)

    Jung-Young Son

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Castro, A., Frauel, Y., Javidi, B. (2009). High Depth-of-Focus Integral Imaging with Asymmetric Phase Masks. In: Javidi, B., Okano, F., Son, JY. (eds) Three-dimensional Imaging, Visualization, and Display. Springer, New York, NY. https://doi.org/10.1007/978-0-387-79335-1_2

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  • DOI: https://doi.org/10.1007/978-0-387-79335-1_2

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-79334-4

  • Online ISBN: 978-0-387-79335-1

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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