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J. Arai, M. Okui, M. Kobayashi, F. Okano, “Geometrical effects of positional errors in integral photography,” J. Opt. Soc. Am. A 21, 951–958 (2004).

[CrossRef]

J. Arai, H. Hoshino, M. Okui, F. Okano, “Effects on the resolution characteristics of integral photography,” J. Opt. Soc. Am. A 20, 996–1004 (2003).

[CrossRef]

J. Arai, F. Okano, H. Hoshino, I. Yuyama, “Gradient-index lens-array method based on real-time integral photography for three-dimensional images,” Appl. Opt. 37, 2034–2045 (1998).

[CrossRef]

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[CrossRef]
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P. Ambs, L. Bigue, R. Binet, J. Colineau, J.-C. Lehureau, J.-P. Huignard, “Image reconstruction using electro-optic holography,” Proceedings of the 16th Annual Meeting of the IEEE Lasers and Electro-Optics Society, LEOS 2003 (IEEE Press, Piscataway, N.J., 2003), Vol. 1, pp. 172–173.

P. Ambs, L. Bigue, R. Binet, J. Colineau, J.-C. Lehureau, J.-P. Huignard, “Image reconstruction using electro-optic holography,” Proceedings of the 16th Annual Meeting of the IEEE Lasers and Electro-Optics Society, LEOS 2003 (IEEE Press, Piscataway, N.J., 2003), Vol. 1, pp. 172–173.

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[CrossRef]

P. Ambs, L. Bigue, R. Binet, J. Colineau, J.-C. Lehureau, J.-P. Huignard, “Image reconstruction using electro-optic holography,” Proceedings of the 16th Annual Meeting of the IEEE Lasers and Electro-Optics Society, LEOS 2003 (IEEE Press, Piscataway, N.J., 2003), Vol. 1, pp. 172–173.

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[CrossRef]

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[CrossRef]
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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]
[PubMed]

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[CrossRef]
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[CrossRef]
[PubMed]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]
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[CrossRef]
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[CrossRef]
[PubMed]

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[CrossRef]

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[CrossRef]

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[CrossRef]
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[CrossRef]
[PubMed]

J.-H. Park, S.-W. Min, S. Jung, B. Lee, “Analysis of viewing parameters for two display methods based on integral photography,” Appl. Opt. 40, 5217–5232 (2001).

[CrossRef]

P. Ambs, L. Bigue, R. Binet, J. Colineau, J.-C. Lehureau, J.-P. Huignard, “Image reconstruction using electro-optic holography,” Proceedings of the 16th Annual Meeting of the IEEE Lasers and Electro-Optics Society, LEOS 2003 (IEEE Press, Piscataway, N.J., 2003), Vol. 1, pp. 172–173.

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[CrossRef]

R. Martı́nez-Cuenca, G. Saavedra, M. Martı́nez-Corral, B. Javidi, “Enhanced depth of field integral imaging with sensor resolution constraints,” Opt. Express 12, 5237–5242 (2004).

[CrossRef]
[PubMed]

M. Martı́nez-Corral, B. Javidi, R. Martı́nez-Cuenca, G. Saavedra, “Integral imaging with improved depth of field by use of amplitude modulated microlens array,” Appl. Opt. 43, 5806–5813 (2004).

[CrossRef]

R. Martı́nez-Cuenca, G. Saavedra, M. Martı́nez-Corral, B. Javidi, “Enhanced depth of field integral imaging with sensor resolution constraints,” Opt. Express 12, 5237–5242 (2004).

[CrossRef]
[PubMed]

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[CrossRef]

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[CrossRef]
[PubMed]

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[CrossRef]
[PubMed]

J.-H. Park, S.-W. Min, S. Jung, B. Lee, “Analysis of viewing parameters for two display methods based on integral photography,” Appl. Opt. 40, 5217–5232 (2001).

[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]
[PubMed]

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[CrossRef]

J. Arai, H. Hoshino, M. Okui, F. Okano, “Effects on the resolution characteristics of integral photography,” J. Opt. Soc. Am. A 20, 996–1004 (2003).

[CrossRef]

H. Choi, S.-W. Min, S. Jung, J.-H. Park, B. Lee, “Multiple-viewing-zone integral imaging using dynamic barrier array for three-dimensional displays,” Opt. Express 11, 927–932 (2003).

[CrossRef]
[PubMed]

J.-H. Park, S.-W. Min, S. Jung, B. Lee, “Analysis of viewing parameters for two display methods based on integral photography,” Appl. Opt. 40, 5217–5232 (2001).

[CrossRef]

R. Martı́nez-Cuenca, G. Saavedra, M. Martı́nez-Corral, B. Javidi, “Enhanced depth of field integral imaging with sensor resolution constraints,” Opt. Express 12, 5237–5242 (2004).

[CrossRef]
[PubMed]

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[CrossRef]

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J. Arai, F. Okano, H. Hoshino, I. Yuyama, “Gradient-index lens-array method based on real-time integral photography for three-dimensional images,” Appl. Opt. 37, 2034–2045 (1998).

[CrossRef]

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[CrossRef]
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[CrossRef]

J.-H. Park, S.-W. Min, S. Jung, B. Lee, “Analysis of viewing parameters for two display methods based on integral photography,” Appl. Opt. 40, 5217–5232 (2001).

[CrossRef]

J. Arai, M. Okui, M. Kobayashi, F. Okano, “Geometrical effects of positional errors in integral photography,” J. Opt. Soc. Am. A 21, 951–958 (2004).

[CrossRef]

J. Arai, H. Hoshino, M. Okui, F. Okano, “Effects on the resolution characteristics of integral photography,” J. Opt. Soc. Am. A 20, 996–1004 (2003).

[CrossRef]

H. Hoshino, F. Okano, H. Isono, I. Yuyama, “Analysis of resolution limitation of integral photography,” J. Opt. Soc. Am. A 15, 2059–2065 (1998).

[CrossRef]

M. G. Lippmann, “Epreuves reversibles donnant la sensation du relief,” J. Phys. (Paris) 7, 821–825 (1908).

J.-S. Jang, B. Javidi, “Formation of orthoscopic three-dimensional real images in direct pickup one-step integral imaging,” Opt. Eng. 42, 1869–1870 (2003).

[CrossRef]

N. Davies, M. McCormick, M. Brewin, “Design and analysis of an image transfer system using microlens array,” Opt. Eng. 33, 3624–3633 (1994).

[CrossRef]

H. Choi, S.-W. Min, S. Jung, J.-H. Park, B. Lee, “Multiple-viewing-zone integral imaging using dynamic barrier array for three-dimensional displays,” Opt. Express 11, 927–932 (2003).

[CrossRef]
[PubMed]

R. Martı́nez-Cuenca, G. Saavedra, M. Martı́nez-Corral, B. Javidi, “Enhanced depth of field integral imaging with sensor resolution constraints,” Opt. Express 12, 5237–5242 (2004).

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S. Kishk, B. Javidi, “Improved resolution 3D object sensing and recognition using time multiplexed computational integral imaging,” Opt. Express 11, 3528–3541 (2003).

[CrossRef]
[PubMed]

J.-S. Jang, B. Javidi, “Three-dimensional synthetic aperture integral imaging,” Opt. Lett. 27, 1144–1146 (2002).

[CrossRef]

J.-S. Jang, B. Javidi, “Improved viewing resolution of three-dimensional integral imaging by use of nonstationary micro-optics,” Opt. Lett. 27, 324–326 (2002).

[CrossRef]

J.-S. Jang, B. Javidi, “Large depth-of-focus time-multiplexed three-dimensional integral imaging by use of lenslets with nonuniform focal lengths and aperture sizes,” Opt. Lett. 28, 1924–1926 (2003).

[CrossRef]
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[CrossRef]
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D. A. Atchinson, G. Smith, Optics of the Human Eye (Butterworth-Heinemann, Oxford, UK, 2000).

M. P. Keating, Geometric, Physical, and Visual Optics (Butterworth-Heinemann, Oxford, UK, 1988).

An exact calculation would give the reconstructed image as the convolution between O(x)and a properly scaled version of the self-convolution of function H∘(x; 0).Since the study of resolution is not the aim of this paper, the following calculations can be accurately performed by assuming nonsignificant differences between the object and the reconstructed image.