OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 37, Iss. 26 — Sep. 10, 1998
  • pp: 6213–6218

Discrete cosine transform domain restoration of defocused images

Edmund Y. Lam and Joseph W. Goodman  »View Author Affiliations

Applied Optics, Vol. 37, Issue 26, pp. 6213-6218 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (394 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In discrete-cosine-transform-based (DCT-based) compressions such as JPEG it is a common practice to use the same quantization matrix for both encoding and decoding. However, this need not be the case, and the flexibility of designing different matrices for encoding and decoding allows us to perform image restoration in the DCT domain. This is especially useful when we have severe limitations on the computational power, for instance, with in-camera image manipulation for programmable digital cameras. We provide an algorithm that compensates partially for a defocus error in image acquisition, and experimental results show that the restored image is closer to the in-focus image than is the defocused image.

© 1998 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(110.4280) Imaging systems : Noise in imaging systems
(110.6980) Imaging systems : Transforms
(220.1000) Optical design and fabrication : Aberration compensation
(220.2560) Optical design and fabrication : Propagating methods

Original Manuscript: April 21, 1998
Revised Manuscript: June 24, 1998
Published: September 10, 1998

Edmund Y. Lam and Joseph W. Goodman, "Discrete cosine transform domain restoration of defocused images," Appl. Opt. 37, 6213-6218 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. W. Pennebaker, J. Mitchell, JPEG Still Image Data Compression Standard (Van Nostrand Reinhold, New York, 1992).
  2. R. Brown, A. Boden, “A posteriori restoration of block transform-compressed data,” in 1995 Proceedings of the Data Compression Conference, J. A. Storer, M. Cohn, eds. (IEEE Computer Society Press, Los Alamitos, Calif., 1995), p. 426.
  3. Z. Fan, R. Eschbach, “JPEG decompression with reduced artifacts,” in Image and Video Compressions, M. Rabbani, R. J. Safranek, eds., Proc. SPIE2186, 50–55 (1994). [CrossRef]
  4. R. Prost, Y. Ding, A. Baskurt, “JPEG dequantization array for regularized decompression,” IEEE Trans. Image Process. 6, 883–888 (1997). [CrossRef]
  5. J. W. Goodman, Introduction to Fourier Optics, 2nd ed. (McGraw-Hill, New York, 1996).
  6. V. Bhaskaran, K. Konstantinides, G. Beretta, “Text and image sharpening of scanned images in the JPEG domain,” in Proceedings of the Fourth IEEE International Conference on Image Processing (Institute of Electrical and Electronics Engineers, New York, 1997), Vol. 2, pp. 326–329. [CrossRef]
  7. G. Demoment, “Image reconstruction and restoration: overview of common estimation structures and problems,” IEEE Trans. Acoust. Speech Signal Process. 37, 2024–2036 (1989). [CrossRef]
  8. K. R. Castleman, Digital Image Processing (Prentice Hall, Englewood Cliffs, N.J., 1996).
  9. M. G. Kang, A. K. Katsaggelos, “General choice of the regularization functional in regularized image restoration,” IEEE Trans. Image Process. 4, 594–602 (1995). [CrossRef] [PubMed]
  10. K. Miller, “Least-squares methods for ill-posed problems with a prescribed bound,” SIAM J. Math. Anal. 1, 52–74 (1970). [CrossRef]
  11. A. K. Jain, Fundamentals of Digital Image Processing (Prentice Hall, Englewood Cliffs, N.J., 1989).
  12. R. Reininger, J. Gibson, “Distributions of the two-dimensional DCT coefficients for images,” IEEE Trans. Commun. COM-31, 835–839 (1983). [CrossRef]

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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited