Elemental Image Synthesis for Integral Imaging Using Phase-shifting Digital Holography

  • Jeong, Min-Ok (School of Electrical & Computer Engineering, Chungbuk National University) ;
  • Kim, Nam (School of Electrical & Computer Engineering, Chungbuk National University) ;
  • Park, Jae-Hyeung (School of Electrical & Computer Engineering, Chungbuk National University)
  • Received : 2008.10.08
  • Accepted : 2008.12.03
  • Published : 2008.12.25


We propose a method generating elemental images for the integral imaging using 4-step phaseshifting digital holography. Phase shifting digital holography is a way recording the digital hologram by changing the phase of the reference beam and extracting the complex field of the object beam. Since all 3D information is captured by phase-shifting digital holography, the elemental images for any specifications of the lens array can be generated from single phase-shifting digital holography. In experiment, phase-shifting is achieved by rotating half- and quarter- wave plates and the resultant interference patterns are captured by a $3272{\times}2469$ pixel CCD camera with $27{\mu}m{\times}27{\mu}m$ pixel size.


  1. Yamaguchi and T. Zhang, “Phase-shifting digital holography,” Opt. Lett., vol. 22, no.16, pp. 1268-1270, 1997
  2. Yamaguchi, T. Matsumura, and J. Kato, “Phase-shifting color digital holography,” Opt. Lett., vol. 27, no. 13, pp. 1108-1110, 2002
  3. U. Schnars and W. Juptner, “Direct recording of holograms by a CCD target and numerical reconstruction,” Appl. Opt., vol. 33, no.2, pp. 179-181, 1994
  4. J. W. Kang and C. K. Hong, “Three Dimensional Shape Measurement of a Micro Fresnel Lens with In-line Phaseshifting Digital Holographic Microscopy,” J. Opt. Soc. Korea, vol. 10, no. 4, pp. 178-183, 2006
  5. H. J. Lee and S. K. Gil, “Error Analysis for Optical Security by means of 4-StepPhase-Shifting Digital Holography,” J. Opt. Soc. Korea, vol. 10, no. 3, pp. 118-123, 2006
  6. F. Okano, H. Hoshino, J. Arai, and I. Yuyama, “Real-time pickup method for a three-dimensional image based on integral photography,” Appl. Opt., vol. 36, no.7, pp. 1598-1603, 1997
  7. S. Manolache, A. Aggoun, M. McCormick, N. Davies, and S. Y. Kung, “Analytical model of a three-dimensional integral image recording system that uses circular and hexagonal-based spherical surface microlenses,” J. Opt. Soc. Am. A, vol. 18, no. 8, pp. 1814-1821, 2001
  8. J.-H. Park, Y. Kim, J. Kim, S.-W. Min, and B. Lee, “Three-dimensional display scheme based on integral imaging with three-dimensional information processing,” Opt. Exp., vol. 12, no.24, pp. 6020-6032, 2004
  9. S.-H. Shin and B. Javidi, “Speckle reduced threedimensional volume holographic display using integral imaging,” Appl. Opt., vol. 41, no.14, pp. 2644–2649, 2002
  10. Y. Kim, J.-H. Park, H. Choi, S. Jung, S.-W. Min, and B. Lee, “Viewing-angle-enhanced integral imaging system using a curved lens array,” Opt. Exp., vol. 12, no. 3, pp. 421-429, 2004
  11. M. Martijnez-Corral, B. Javidi, R. Martijnez-Cuenca, and G. Saavedra, “Integral Imaging with Improved Depth of Field by Use of Amplitude-Modulated Microlens Arrays,” Appl. Opt., vol. 43 no. 31, pp. 5806-5813, 2004
  12. Y. Kim, J.-H. Park, H. Choi, J. Kim, S.-W. Cho, and B. Lee “Depth-enhanced three-dimensional integral imaging by use of multilayered display devices,” Appl. Opt., vol. 45, no. 18, pp. 4334-4343, 2006
  13. J.-S. Jang and B. Javidi, “Improvement of Viewing Angle in Integral Imaging by Use of Moving Lenslet Arrays with Low Fill Factor,” Appl. Opt., vol. 42, no. 11, pp. 1996-2002, 2003
  14. D.-H. Shin and E.-S. Kim, “Computational Integral Imaging Reconstruction of 3D Object Using a Depth Conversion Technique,” J. Opt. Soc. Korea, vol. 12, no. 3, pp. 131-135, 2008
  15. B. Javidi and S.-H. Hong, “Three-Dimensional Holographic Image Sensing and Integral Imaging Display,” Journal of Display Technology, vol. 1, no. 2, pp. 341-346, 2005
  16. S.-C. Kim, P. Sukhbat, and E.-S. Kim, “Generation of three-dimensional integral images from a holographic pattern of 3-D objects,” Appl. Opt., vol. 47, no. 21, pp. 3901-3908, 2008
  17. T. Tajahuerce, O. Matoba, S. Verral, and B. Javidi, “Optoelectronic information encryption with phase-shifting interferometry”, Appl. Opt., vol. 39, no.14, pp. 2313-2320, 2000
  18. T.-C. Poon, Digital Holography and Three-Dimensional Display: Principles and Applications (Springer Science+Business Media, Inc., New York, USA, 2006) Chapter 5
  19. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, USA, 1996) Chapter 5
  20. T. Nakatsuji and K. Matsushima, “Free-viewpoint images captured using phase-shifting synthetic aperture digital holography,” Appl. Opt., vol. 47, D136-D143, 2008
  21. C. P. McElhinney, B. M. Hennelly, and T. J. Naughton, “Extended focused imaging for digital holograms of macroscopic three-dimensional objects,” Appl. Opt., vol. 47, D71-D79, 2008

Cited by

  1. Analysis of the Motion Picture Quality of Stereoscopic Three-dimensional Images vol.14, pp.4, 2010,
  2. 2-step Phase-shifting Digital Holographic Optical Encryption and Error Analysis vol.15, pp.3, 2011,
  3. Elimination of image discontinuity in integral floating display by using adaptive image mapping vol.48, pp.34, 2009,
  4. Super-Resolution Digital Holographic Microscopy for Three Dimensional Sample Using Multipoint Light Source Illumination vol.50, pp.9, 2011,
  5. Dual Optical Encryption for Binary Data and Secret Key Using Phase-shifting Digital Holography vol.16, pp.3, 2012,
  6. Multi-viewer tracking integral imaging system and its viewing zone analysis vol.17, pp.20, 2009,
  7. 3D/2D convertible projection-type integral imaging using concave half mirror array vol.18, pp.20, 2010,
  8. 2-step Quadrature Phase-shifting Digital Holographic Optical Encryption using Orthogonal Polarization and Error Analysis vol.16, pp.4, 2012,
  9. Measurement of a Mirror Surface Topography Using 2-frame Phase-shifting Digital Interferometry vol.13, pp.2, 2009,
  10. Current-induced Phase Demodulation Using a PWM Sampling for a Fiber-optic CT vol.14, pp.3, 2010,
  11. Determining Two-Sided Surface Profiles of Micro-Optical Elements Using a Dual-Wavelength Digital Holographic Microscope With Liquids vol.18, pp.5, 2014,
  12. Tilt Aberration Compensation Using Interference Patterns in Digital Holography vol.13, pp.4, 2009,
  13. Determining the refractive index distribution of optical components by dual-wavelength digital holographic microscopy with a liquid vol.67, pp.4, 2015,
  14. QPSK Modulation Based Optical Image Cryptosystem Using Phase-shifting Digital Holography vol.14, pp.2, 2010,
  15. Image volume analysis of omnidirectional parallax regular-polyhedron three-dimensional displays vol.17, pp.8, 2009,
  16. Dual-wavelength Digital Holography Microscope for BGA Measurement Using Partial Coherence Sources vol.15, pp.4, 2011,
  17. Super-Resolution Digital Holographic Microscopy for Three Dimensional Sample Using Multipoint Light Source Illumination vol.50, pp.9R, 2011,
  18. Color moiré pattern simulation and analysis in three-dimensional integral imaging for finding the moiré-reduced tilted angle of a lens array vol.48, pp.11, 2009,
  19. Three-dimensional Information and Refractive Index Measurement Using a Dual-wavelength Digital Holographic vol.13, pp.2, 2009,
  20. Intermediate Holographic Data Storage System by Using Sequentially Superimposed Recording vol.13, pp.4, 2009,