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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 4 — Apr. 1, 2007
  • pp: 967–972

Role of optics in the accuracy of depth-from-defocus systems

Ilya Blayvas, Ron Kimmel, and Ehud Rivlin  »View Author Affiliations


JOSA A, Vol. 24, Issue 4, pp. 967-972 (2007)
http://dx.doi.org/10.1364/JOSAA.24.000967


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Abstract

The depth-from-focus–defocus approach to 3D reconstruction is based on the fact that objects closer to or farther from the object in focus appear blurred, and the amount of blur increases with the distance from the object in focus. An important characteristic of any depth-from-defocus system is the depth reconstruction accuracy. Several 3D reconstruction algorithms have been proposed, and the influence of image noise and image spectrum on the system accuracy has been studied. However, so far the effect of optics on the accuracy has not been fully explored. Here, we derive an expression estimating the system accuracy as a function of its optical parameters. It turns out that optics plays a major role in the accuracy, and tenfold increase of the lens focal length, and the aperture can increase the overall accuracy by a factor of more than 1000. The derived expression allows one to review several results, revealing that the accuracy is defined primarily by the optics. We also provide guidelines for the design of new depth-from-defocus systems in compliance with predefined specifications by choosing the appropriate optics.

© 2007 Optical Society of America

OCIS Codes
(110.6880) Imaging systems : Three-dimensional image acquisition
(150.5670) Machine vision : Range finding
(150.6910) Machine vision : Three-dimensional sensing

ToC Category:
Machine Vision

History
Original Manuscript: August 10, 2006
Revised Manuscript: October 3, 2006
Manuscript Accepted: November 5, 2006
Published: March 14, 2007

Citation
Ilya Blayvas, Ron Kimmel, and Ehud Rivlin, "Role of optics in the accuracy of depth-from-defocus systems," J. Opt. Soc. Am. A 24, 967-972 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-4-967


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References

  1. P. Favaro, A. Menucci, and S. Soatto, "Observing shape from defocused images," Int. J. Comput. Vis. 52, 25-43 (2003). [CrossRef]
  2. P. Favaro and S. Soatto, "A geometric approach to shape from defocus," IEEE Trans. Pattern Anal. Mach. Intell. 27, 406-415 (2005). [CrossRef] [PubMed]
  3. M. Gokstorp, "Computing depth from out-of-focus blur using a local frequency representation," in Proceedings of International Conference on Pattern Recognition (IEEE, 1994), pp. 153-158. [CrossRef]
  4. H. Jin and P. Favarao, "A variational approach to shape from defocus," in Proceedings of European Conference on Computer Vision (2002), pp. 18-30.
  5. S. K. Nayar and Y. Nakagawa, "Shape from focus: an effective approach for rough surfaces," IEEE Trans. Pattern Anal. Mach. Intell. 16, 824-831 (1994). [CrossRef]
  6. M. Noguchi and S. K. Nayar, "Microscopic shape from focus using active illumination," in Proceedings of International Conference on Pattern Recognition (IEEE, 1994), pp. 147-152. [CrossRef]
  7. A. P. Pentland, "A new sense for depth of field," IEEE Trans. Pattern Anal. Mach. Intell. 9, 523-531 (1987). [CrossRef] [PubMed]
  8. A. P. Pentland, T. Darrel, M. Turk, and W. Huang, "A simple, real time range camera," in Proceedings of International Conference on Computer Vision and Pattern Recognition (IEEE, 1989), pp. 256-261.
  9. A. N. Rajagopalan and S. Chaudhuri, "A block shift-variant blur model for recovering depth from defocused images," in Proceedings of International Conference on Image Processing (IEEE, 1995), pp. 636-639. [CrossRef]
  10. S. Soatto and P. Favaro, "A geometric approach to blind deconvolution with application to shape from defocus," in Proceedings of International Conference on Computer Vision and Pattern Recognition (IEEE, 2000), pp. 10-17. [CrossRef]
  11. D. Ziou, "Passive depth from defocus using spatial domain approach," in Proceedings of International Conference on Computer Vision (IEEE, 1998), pp. 799-804.
  12. Y. Schechner and N. Kiryati, "Depth from defocus vs. stereo: how different really are they," in Proceedings of International Conference on Pattern Recognition (IEEE, 1998), pp. 1784-1786.
  13. A. N. Rajagopalan and S. Chaudhuri, "Performance analysis of maximum likelihood estimator for recovery of depth from defocused images and optimal selection of camera parameters," Int. J. Comput. Vis. 30, 175-190 (1998). [CrossRef]
  14. A. N. Rajagopalan, S. Chaudhuri, and R. Chellappa, "Quantitative analysis of error bounds in the recovery of depth from defocused images," J. Opt. Soc. Am. A 17, 1722-1731 (2000). [CrossRef]
  15. M. Subbarao and J. K. Tyan, "Noise sensitivity analysis of depth-from-defocus by a spatial-domain approach," Proc. SPIE 3174, 174-187 (1994).
  16. Y. Schechner and N. Kiryati, "The optimal axial interval in estimating depth from defocus," in Proceedings of International Conference on Computer Vision (IEEE, 1993), pp. 843-848.
  17. M. Subbarao and T. Choi, "Accurate recovery of three-dimensional shape from image focus," IEEE Trans. Pattern Anal. Mach. Intell. 17, 266-274 (1995). [CrossRef]
  18. M. Subbarao and G. Surya, "Depth from defocus: a spatial domain approach," Int. J. Comput. Vis. 13, 271-294 (1994). [CrossRef]
  19. J. Ens and P. Lawrence, "An investigation of methods for determining depth from focus," IEEE Trans. Pattern Anal. Mach. Intell. 15, 97-108 (1993). [CrossRef]
  20. M. Watanabe and S. K. Nayar, "Rational filters for passive depth from defocus," Int. J. Comput. Vis. 27, 203-225 (1998). [CrossRef]
  21. Y. Xiong and S. A. Shafer, "Depth from focusing and defocusing," in Proceedings of International Conference on Computer Vision and Pattern Recognition (IEEE, 1993), pp. 68-73. [CrossRef]
  22. M. Baba, N. Asada, A. Oda, and T. Migita, "A thin lens based camera model for depth estimation from defocus and translation by zooming," in Proceedings of ICVI (2002), pp. 274-281.
  23. O. Ghita and P. Whelan, "A video-rate sensor based on depth from defocus," Opt. Laser Technol. 33, 167-176 (2001). [CrossRef]
  24. S. K. Nayar, M. Watanabe, and M. Noguchi, "Real-time focus range sensor," IEEE Trans. Pattern Anal. Mach. Intell. 18, 1186-1198 (1996). [CrossRef]
  25. A. E. Savakis and H. J. Trussel, "On the accuracy of PSF representation in image restoration," IEEE Trans. Image Process. 2, 252-259 (1993). [CrossRef] [PubMed]
  26. W. J. Smith, Modern Lens Design (McGraw-Hill, 1992), pp. 43-49.
  27. M. Born and E. Wolf, Principles of Optics (Pergamon, 1975), pp. 395-397.
  28. G. Arfken, Mathematical Methods for Physicists (Academic, 1985), pp. 573-636.
  29. E. Hecht and A. Zajac, Optics (Addison-Wesley, 1974).
  30. B. K. P. Horn, Robot Vision (MIT Press, 1986).
  31. F. Deschenes, D. Ziou, and P. Fuchs, "Simultaneous computation of defocus blur and apparent shifts in spatial domain," in Actes de 15th International Conference on Vision Interface (1992), pp. 236-243.
  32. A. P. Pentland, S. Scherock, T. Darrel, and B. Girod, "Simple range cameras based on focal error," J. Opt. Soc. Am. A 11, 2925-2934 (1994). [CrossRef]

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