## Improved viewing resolution of integral videography by use of rotated prism sheets

Optics Express, Vol. 15, Issue 8, pp. 4814-4822 (2007)

http://dx.doi.org/10.1364/OE.15.004814

Acrobat PDF (464 KB)

### Abstract

We demonstrated that placing a pair of prism sheets in front of a display and rotating them overcomes the upper resolution limit of Integral Photograpy (IP) / Integral Videography (IV) imposed by the Nyquist sampling theorem. A pair of prism sheet with the same pitch placed in front of an IP or IV display parallel-shifts the light rays in the 3D space. Rotating the pair shifts the light rays, causing them to appear to rotate around their original positions. Changing the gap between the sheets changes the diameter of the apparent rotation. Changing the speed at which the sheets are rotated changes the speed of the image movement. Experimental results showed that the quality of the IP and IV images is improved by using this technique. It is a simple and effective way to improve the viewing resolution of IP and IV images without reducing their 3D aspects, such as image depth. It also eliminates the need to move the lenslet array.

© 2007 Optical Society of America

## 1. Introduction

2. F. Okano, H. Hoshino, J. Arai, and I. Yuyama, “Real-time pickup method for a three-dimensional image based on integral photography,” Appl. Opt. **36**, 1598–1603 (1997). [CrossRef] [PubMed]

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

*et al*. described a method that generates elemental images using a computer process instead of using a physical process. This computer-generated integral photography method can be implemented in both real and virtual IP modes [4

4. Y. Igarishi, H. Murata, and M. Ueda, “3D display system using a computer generated integral photograph,” Jpn. J. Appl. Phys. **17**, 1683–1684 (1978). [CrossRef]

5. H. Liao, S. Nakajima, M. Iwahara, E. Kobayashi, I. Sakuma, N. Yahagi, and T. Dohi, “Intra-operative realtime 3-D information display system based on integral videography,” Fourth International Conference on *Medical Image Computing and Computer assisted Intervention --MICCAI 2001*, Lecture Notes in Computer Science, LNCS **2208**, 392–400 (2001). [CrossRef]

6. S-W. Min, B. Javidi, and B. Lee, “Enhanced three-dimensional integral imaging system by use of double display devices,” Appl. Opt. **42**, 4186–4159 (2003). [CrossRef] [PubMed]

9. J.-S. Jang, F. Jin, and B. Javidi, “Three-dimensional integral imaging with large depth of focus by use of real and virtual image fields,” Opt. Lett. **28**, 1421–1423 (2003). [CrossRef] [PubMed]

11. H. Liao, M. Iwahara, T. Koike, N. Hata, I. Sakuma, and T. Dohi, “Scalable high-resolution integral videography autostereoscopic display by use of seamless multi-projection,” Appl. Opt. **44**, 305–315 (2005). [CrossRef] [PubMed]

12. J. S. Jang, Y. S. Oh, and B. Javidi, “Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display,” Opt. Express **12**, 557–563 (2004). [CrossRef] [PubMed]

13. H. Liao, M. Iwahara, N. Hata, I. Sakuma, T. Dohi, T. Koike, Y. Momoi, T. Minakawa, M. Yamasaki, F. Tajima, and H. Takeda, High-resolution integral videography autostereoscopic display using multi-projector; in *The Proceedings of the Ninth International Display Workshops IDW02*, (Hiroshima, Japan, 2002), pp.1229-1232.

14. H. Liao, M. Iwahara, N. Hata, and T. Dohi, “High-quality integral videography using a multiprojector,” Opt. Express **12**, 1067–1076 (2004). [CrossRef] [PubMed]

11. H. Liao, M. Iwahara, T. Koike, N. Hata, I. Sakuma, and T. Dohi, “Scalable high-resolution integral videography autostereoscopic display by use of seamless multi-projection,” Appl. Opt. **44**, 305–315 (2005). [CrossRef] [PubMed]

15. B. Lee, S.-W. Min, and B. Javidi, “Theoretical analysis for three-dimensional integral imaging systems with double devices,” Appl. Opt. **41**, 4856–4865 (2002). [CrossRef] [PubMed]

16. S. Jung, J.-H. Park, B. Lee, and B. Javidi, “Viewing-angle-enhanced Integral 3-D Imaging using double display devices with masks,” Opt. Eng. **41**, 2389–2390 (2002). [CrossRef]

17. J. S. Jang and B. Javidi, “Improved viewing resolution of 3-D integral imaging with nonstationary micro-optics,” Opt. Lett. **27**, 324–326 (2002). [CrossRef]

20. S. H. Hong and B. Javidi, “Improved resolution 3-D object reconstruction using computational integral imaging with time multiplexing,” Opt. Express **12**, 4579–4588 (2004). [CrossRef] [PubMed]

## 2. Materials and Methods

### 2.1 Rhomboid prism and prism sheets for refracting light rays

### 2.2 Rhomboid prism converted into double-sided prism sheets

### 2.3 Prism sheet rotation

### 2.4 Synchronically display element image corresponding to orientation of prism sheets

## 3. Experimental

### 3.1 Setup and methods

### 3.2 Results

## 4. Discussion and summary

22. M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, and G. Saavedra, “Multifacet structure of observed reconstructed integral images,” JOSA A **22**, 597–603 (2005). [CrossRef] [PubMed]

## Acknowledgment

## References and links

1. | M. G. Lippmann, “Epreuves reversibles donnant la sensation du relief,” J. Phys. |

2. | F. Okano, H. Hoshino, J. Arai, and I. Yuyama, “Real-time pickup method for a three-dimensional image based on integral photography,” Appl. Opt. |

3. | J. Arai, F. Okano, H. Hoshino, and I. Yuyama, “Gradient-index lens-array method based on real-time integral photography for three-dimensional images,” Appl. Opt. |

4. | Y. Igarishi, H. Murata, and M. Ueda, “3D display system using a computer generated integral photograph,” Jpn. J. Appl. Phys. |

5. | H. Liao, S. Nakajima, M. Iwahara, E. Kobayashi, I. Sakuma, N. Yahagi, and T. Dohi, “Intra-operative realtime 3-D information display system based on integral videography,” Fourth International Conference on |

6. | S-W. Min, B. Javidi, and B. Lee, “Enhanced three-dimensional integral imaging system by use of double display devices,” Appl. Opt. |

7. | S. Jung, J.-H. Park, H. Choi, and B. Lee, “Wide-viewing integral three-dimensional imaging by use of orthogonal polarization switching,” Appl. Opt. |

8. | S-W. Min, S. Jung, J-H. Park, and B. Lee, “Study for wide-viewing integral photography using an aspheric Fresnel-lens array,” Opt. Eng. |

9. | J.-S. Jang, F. Jin, and B. Javidi, “Three-dimensional integral imaging with large depth of focus by use of real and virtual image fields,” Opt. Lett. |

10. | H. Liao, Y. Ito, K. Matsumiya, K. Masamune, and T. Dohi, Object based image rendering and synthesis for computer generated integral videography, ACM SIGGRAPH 2006 (Boston, USA, 2006), Research poster, CD-ROM. |

11. | H. Liao, M. Iwahara, T. Koike, N. Hata, I. Sakuma, and T. Dohi, “Scalable high-resolution integral videography autostereoscopic display by use of seamless multi-projection,” Appl. Opt. |

12. | J. S. Jang, Y. S. Oh, and B. Javidi, “Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display,” Opt. Express |

13. | H. Liao, M. Iwahara, N. Hata, I. Sakuma, T. Dohi, T. Koike, Y. Momoi, T. Minakawa, M. Yamasaki, F. Tajima, and H. Takeda, High-resolution integral videography autostereoscopic display using multi-projector; in |

14. | H. Liao, M. Iwahara, N. Hata, and T. Dohi, “High-quality integral videography using a multiprojector,” Opt. Express |

15. | B. Lee, S.-W. Min, and B. Javidi, “Theoretical analysis for three-dimensional integral imaging systems with double devices,” Appl. Opt. |

16. | S. Jung, J.-H. Park, B. Lee, and B. Javidi, “Viewing-angle-enhanced Integral 3-D Imaging using double display devices with masks,” Opt. Eng. |

17. | J. S. Jang and B. Javidi, “Improved viewing resolution of 3-D integral imaging with nonstationary micro-optics,” Opt. Lett. |

18. | A. Stern and B. Javidi, “Three-dimensional image sensing and reconstruction with time-division multiplexed computational integral imaging,” Appl. Opt. |

19. | J. S. Jang, Y. S. Oh, and B. Javidi, “Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display,” Opt. Express |

20. | S. H. Hong and B. Javidi, “Improved resolution 3-D object reconstruction using computational integral imaging with time multiplexing,” Opt. Express |

21. | S. Kishk and B. Javidi, “Improved resolution 3-D object sensing and recognition using time multiplexed computational integral imaging,” Opt. Express |

22. | M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, and G. Saavedra, “Multifacet structure of observed reconstructed integral images,” JOSA A |

**OCIS Codes**

(100.6890) Image processing : Three-dimensional image processing

(110.2990) Imaging systems : Image formation theory

(220.2740) Optical design and fabrication : Geometric optical design

**ToC Category:**

Imaging Systems

**History**

Original Manuscript: February 13, 2007

Revised Manuscript: April 3, 2007

Manuscript Accepted: April 4, 2007

Published: April 5, 2007

**Citation**

Hongen Liao, Takeyoshi Dohi, and Makoto Iwahara, "Improved viewing resolution of integral videography by use of rotated prism sheets," Opt. Express **15**, 4814-4822 (2007)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-4814

Sort: Year | Journal | Reset

### References

- M. G. Lippmann, "Epreuves reversibles donnant la sensation du relief," J. Phys. 7, 821-825 (1908).
- F. Okano, H. Hoshino, J. Arai, and I. Yuyama, "Real-time pickup method for a three-dimensional image based on integral photography," Appl. Opt. 36, 1598-1603 (1997). [CrossRef] [PubMed]
- J. Arai, F. Okano, H. Hoshino, and I. Yuyama, "Gradient-index lens-array method based on real-time integral photography for three-dimensional images," Appl. Opt. 37, 2034-2045 (1998). [CrossRef]
- Y. Igarishi, H. Murata, and M. Ueda, "3D display system using a computer generated integral photograph," Jpn. J. Appl. Phys. 17, 1683-1684 (1978). [CrossRef]
- H. Liao, S. Nakajima, M. Iwahara, E. Kobayashi, I. Sakuma, N. Yahagi, and T. Dohi, "Intra-operative real-time 3-D information display system based on integral videography," Fourth International Conference on Medical Image Computing and Computer assisted Intervention --MICCAI 2001, Lecture Notes in Computer Science, LNCS 2208, 392-400 (2001). [CrossRef]
- S-W. Min, B. Javidi, and B. Lee, "Enhanced three-dimensional integral imaging system by use of double display devices," Appl. Opt. 42, 4186-4195 (2003). [CrossRef] [PubMed]
- S. Jung, J.-H. Park, H. Choi, and B. Lee, "Wide-viewing integral three-dimensional imaging by use of orthogonal polarization switching," Appl. Opt. 42, 2513-2520 (2003). [CrossRef] [PubMed]
- S-W. Min, S. Jung, J-H. Park, and B. Lee, "Study for wide-viewing integral photography using an aspheric Fresnel-lens array," Opt. Eng. 41, 2572-2576 (2002). [CrossRef]
- J.-S. Jang, F. Jin, and B. Javidi, "Three-dimensional integral imaging with large depth of focus by use of real and virtual image fields," Opt. Lett. 28, 1421-1423 (2003). [CrossRef] [PubMed]
- H. Liao, Y. Ito, K. Matsumiya, K. Masamune and and T. Dohi, "Object based image rendering and synthesis for computer generated integral videography," ACM SIGGRAPH 2006 Boston, USA, (2006), Research poster, CD-ROM.
- H Liao, M. Iwahara, T. Koike, N. Hata, I. Sakuma, and T. Dohi, "Scalable high-resolution integral videography autostereoscopic display by use of seamless multi-projection," Appl. Opt. 44, 305-315 (2005). [CrossRef] [PubMed]
- J. S. Jang, Y. S. Oh, and B. Javidi, "Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display," Opt. Express 12, 557-563 (2004). [CrossRef] [PubMed]
- H. Liao, M. Iwahara, N. Hata, I. Sakuma, T. Dohi, T. Koike, Y. Momoi, T. Minakawa, M. Yamasaki, F. Tajima, and H. Takeda, "High-resolution integral videography autostereoscopic display using multi-projector," in The Proceedings of the Ninth International Display Workshops IDW02, (Hiroshima, Japan, 2002), pp.1229-1232.
- H. Liao, M. Iwahara, N. Hata, and T. Dohi, "High-quality integral videography using a multiprojector," Opt. Express 12, 1067-1076 (2004). [CrossRef] [PubMed]
- B. Lee, S.-W. Min, and B. Javidi, "Theoretical analysis for three-dimensional integral imaging systems with double devices," Appl. Opt. 41, 4856-4865 (2002). [CrossRef] [PubMed]
- S. Jung, J.-H. Park, B. Lee, and B. Javidi, "Viewing-angle-enhanced Integral 3-D Imaging using double display devices with masks," Opt. Eng. 41, 2389-2390 (2002). [CrossRef]
- J. S. Jang and B. Javidi, "Improved viewing resolution of 3-D integral imaging with nonstationary micro-optics," Opt. Lett. 27, 324-326 (2002). [CrossRef]
- A. Stern and B. Javidi, "Three-dimensional image sensing and reconstruction with time-division multiplexed computational integral imaging," Appl. Opt. 42, 7036-7042 (2003). [CrossRef] [PubMed]
- J. S. Jang, Y. S. Oh, and B. Javidi, "Spatiotemporally multiplexed integral imaging projector for large-scale high-resolution three-dimensional display," Opt. Express 12, 557-563 (2004). [CrossRef] [PubMed]
- S. H. Hong and B. Javidi, "Improved resolution 3-D object reconstruction using computational integral imaging with time multiplexing," Opt. Express 12, 4579-4588 (2004). [CrossRef] [PubMed]
- S. Kishk and B. Javidi, "Improved resolution 3-D object sensing and recognition using time multiplexed computational integral imaging," Opt. Express 11, 3528-3541 (2003). [CrossRef] [PubMed]
- M. Martínez-Corral, B. Javidi, R. Martínez-Cuenca, and G. Saavedra, "Multifacet structure of observed reconstructed integral images," J. Opt. Soc. Am. A. 22, 597-603 (2005). [CrossRef] [PubMed]

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.