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Optical Review

, Volume 26, Issue 4, pp 411–421 | Cite as

Projecting a flat plane to a spherical surface by use of a compensation mirror

  • Shuichi TominagaEmail author
  • Kazuki Kawai
  • Hirotsugu YamamotoEmail author
Special Section: Regular Paper The 11th International Conference on Optics-Photonics Design & Fabrication (ODF’18), Hiroshima, Japan
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Part of the following topical collections:
  1. The 11th International Conference on Optics-Photonics Design & Fabrication (ODF’18), Hiroshima, Japan

Abstract

We propose a novel optical setup to project a flat plane onto a spherical surface. Our proposed method employs putting a curved mirror in the optical path of the projection optics. The curved mirror is placed at the initial image plane formed by a relay lens. This initial image is then re-imaged at the spherical surface. Thus, our optical setup enables having a focused image on a spherical surface. To determine the radius of the curved mirror at the initial image position, we calculated it by paraxial equation. The result is confirmed by optical simulations and demonstrated with a prototype optical system.

Keywords

Projection Spherical surface projection Imaging Depth of focus 

Notes

Acknowledgements

This work was partially supported by JST/ACCEL (Grant no. JPMJAC1601) and MEXT/JSPS KAKENHI. The authors would like to thank Dr. Nathan Hagen for his proof-reading of the revised manuscript.

References

  1. 1.
    Miyajima, Y., Kato, K., Ohnuma, K.: Extended depth of field. Jpn. J. Vis. Sci. 37(4), 142–144 (2016)Google Scholar
  2. 2.
    Egawa, Y.: Depth of field expansion technology using chromatic aberration. Jpn. J. Opt. 40(10), 528–533 (2011)Google Scholar
  3. 3.
    Liu, S., Hua, H.: Extended depth-of-field microscopic imaging with a variable focus microscope objective. Opt. Express 4(11), 353–362 (2011)ADSCrossRefGoogle Scholar
  4. 4.
    Mizoguchin, N., Oku, H., Ishikawa, M.: In: Proceedings of IEEE International symposium on industrial electronics (ISIE) 2009, pp. 1668–1673 (2009)Google Scholar
  5. 5.
    Takahashi, Y., Komatsu, S.: Optimized free-form phase mask for extension of depth of field in wavefront-coded imaging. Opt. Lett. 56(32), 1515–1517 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    Torre, J.P.L., Mayes, N., Risa, N.A.: Laser display system for multi-depth screen projection scenarios. Appl. Opt. 56(32), 9023–9029 (2017)ADSCrossRefGoogle Scholar
  7. 7.
    Nakamura, T., Horisaki, R., Tanida, J.: Computational superposition projector for extended depth of field and field of view. Opt. Express 38(9), 1560–1562 (2013)Google Scholar
  8. 8.
    Hashimoto, N., Tashiro, A., Saito, H., Ogawa, S.: In: Proceedings of SIGGRAPH’14 Posters, Article No. 32 (2014)Google Scholar
  9. 9.
    Yamaguchi, J., Hase, S., Shibuya, M., Maehara, K., Mizuno, T., Nakadate, S.: A novel design of projection optics for dome display. Jpn. J. Opt. 42(1), 38–47 (2013)Google Scholar
  10. 10.
    H. Iwata: US Patent 6327020 B1 (2001)Google Scholar
  11. 11.
    Hashimoto, W., Yoshida, K.: In: Proceedings of the 19th Virtual Reality Society of Japan, pp. 365–368 (2004)Google Scholar
  12. 12.
    Benko, H., Wilson, A., Balakrishnan, R.: In: Proceedings of the ACM symposium on user interface software and technology (UIST) 2008, pp. 77–86 (2008)Google Scholar
  13. 13.
    Nagase, M., Iwai, D., Sato, K.: Dynamic defocus and occlusion compensation of projected Imagery by model-based optimal projector selection in multiprojection environment. Virtual Real. 15(2–3), 119–132 (2011)CrossRefGoogle Scholar
  14. 14.
    Amano, T.: In: Proceedings of IEEE conference on computer vision and pattern recognition workshops (CVPR), pp. 443–448 (2014)Google Scholar
  15. 15.
    Takami, H., Takato, N., Hayano, Y., Iye, M., Kamata, Y., Minowa, Y., Kanazawa, T., Gaessler, W.: Performance of Subaru adaptive optics system and the scientific results. Proc. SPIE 4839, 21–31 (2003)ADSCrossRefGoogle Scholar
  16. 16.
    Hattori, M., Tamada, Y., Murata, T., Kamei, Y., Hasebe, M., Hayano, Y., Oya, S.: US Patent application publication US 2016/0209646 A1 (2016)Google Scholar
  17. 17.
    Grosse, M., Wetzstein, G., Grundhofer, A., Bimber, O.: Coded aperture projection. ACM Trans. Graph. 29(3), 1–12 (2010)CrossRefGoogle Scholar
  18. 18.
    Ma, C., Suo, J., Dai, Q., Raskar, R., Wetzstein, G.: In: Proceedings of IEEE international conference on computational photography (ICCP) 2013, pp. 1–9 (2013)Google Scholar
  19. 19.
    Iwai, D., Mihara, S., Sato, K.: Extended depth-of-field projection by fast focal sweep projection. IEEE Trans. Vis. Comput. Graph. 21(4), 462–470 (2015)CrossRefGoogle Scholar

Copyright information

© The Optical Society of Japan 2019

Authors and Affiliations

  1. 1.Utsunomiya UniversityUtsunomiyaJapan
  2. 2.Kowa Optical Products Co., LtdSokaJapan
  3. 3.JST, ACCELTokyoJapan

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