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Applied Optics

Applied Optics


  • Vol. 39, Iss. 35 — Dec. 10, 2000
  • pp: 6602–6612

Deconvolution of several versions of a scene perturbed by different defocus blurs: influence of kernel diameters on restoration quality and on robustness to kernel estimation

François Goudail, Olivier Ruch, and Philippe Réfrégier  »View Author Affiliations

Applied Optics, Vol. 39, Issue 35, pp. 6602-6612 (2000)

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It has been shown many times that using different versions of a scene perturbed with different blurs improved the quality of a restored image compared with using a single blurred image. We focus on large defocus blurs, and we first consider a case in which two different blurring kernels are used. We analyze with numerical simulations the influence of the relative diameter of both kernels on the quality of restoration. We then quantitatively evaluate how the two-kernel approach improves the robustness of restoration to a difference between the kernels used in designing the algorithm and the actual kernels that have perturbed the image. We finally show that using three different kernels may not improve the restoration performance compared with the two-kernel approach but still improves the robustness to kernel estimation.

© 2000 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.1830) Image processing : Deconvolution
(100.2000) Image processing : Digital image processing
(100.3190) Image processing : Inverse problems

Original Manuscript: October 18, 1999
Revised Manuscript: July 27, 2000
Published: December 10, 2000

François Goudail, Olivier Ruch, and Philippe Réfrégier, "Deconvolution of several versions of a scene perturbed by different defocus blurs: influence of kernel diameters on restoration quality and on robustness to kernel estimation," Appl. Opt. 39, 6602-6612 (2000)

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  1. D. C. Ghiglia, “Space invariant deblurring given N independently blurred images of a common object,” J. Opt. Soc. Am. A 1, 398–402 (1984). [CrossRef]
  2. R. A. Gonsalves, “Phase retrieval and diversity in adaptive optics,” Opt. Eng. 21, 829–832 (1982). [CrossRef]
  3. C. A. Berenstein, E. V. Patrick, “Exact deconvolution for multiple convolution operators—an overview, plus performance characterizations for imaging sensors,” Proc. IEEE 78, 723–734 (1990). [CrossRef]
  4. L. P. Yaroslavsky, H. J. Caulfield, “Deconvolution of multiple images of the same object,” Appl. Opt. 33, 2157–2162 (1994). [CrossRef] [PubMed]
  5. M. Piana, M. Bertero, “Regularized deconvolution of multiple images of the same object,” J. Opt. Soc. Am. A 13, 1516–1523 (1996). [CrossRef]
  6. A. N. Tikhonov, V. Y. Arsenin, Solutions of Ill-Posed Problems (Wiley, New York, 1977).
  7. S. J. Reeves, R. M. Mersereau, “Optimal estimation of the regularization parameter and stabilizing functional for regularized image restoration,” Opt. Eng. 29, 446–454 (1990). [CrossRef]
  8. A. K. Jain, Fundamentals of Digital Image Processing, Prentice-Hall Information and System Sciences Series (Prentice-Hall, Englewood Cliffs, N.J., 1989).
  9. P. A. Stokseth, “Properties of a defocused optical system,” J. Opt. Soc. Am. 59, 1314–1321 (1969). [CrossRef]
  10. H. C. Lee, “Review of image-blur models in a photographic system using the principles of optics,” Opt. Eng. 29, 405–421 (1990). [CrossRef]
  11. M. Subbarao, T. C. Wei, G. Surya, “Focused image recovery from two defocused images recorded with different camera settings,” IEEE Trans. Image Process. 12, 1613–1628 (1995). [CrossRef]
  12. G. H. Golub, M. Health, G. Wabha, “Generalized cross-validation as a method for choosing a good ridge parameter,” Technometrics 21, 215–223 (1979). [CrossRef]

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