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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

  • Vol. 5, Iss. 1 — Jan. 1, 1988
  • pp: 19–24

Least-squares filter for color-image restoration

Nagaaki Ohyama, Masuyoshi Yachida, Eric Badique, Jumpei Tsujiuchi, and Toshio Honda  »View Author Affiliations


JOSA A, Vol. 5, Issue 1, pp. 19-24 (1988)
http://dx.doi.org/10.1364/JOSAA.5.000019


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Abstract

A least-squares filter for restoration of blurred color images was developed directly from spectral and spatial correlations and on the basis of a mathematical model that assumes that spectroscopic images of an object are specified by spectral vectors and that a set of such orthonormal vectors forms a multidimensional color space. Primary colors are expressed by a linear combination of spectral vectors, and color images are given by the projection of spectroscopic images onto the primary color or observation vectors. Detailed discussions and a computer simulation are presented.

© 1988 Optical Society of America

History
Original Manuscript: May 26, 1986
Manuscript Accepted: August 18, 1987
Published: January 1, 1988

Citation
Nagaaki Ohyama, Masuyoshi Yachida, Eric Badique, Jumpei Tsujiuchi, and Toshio Honda, "Least-squares filter for color-image restoration," J. Opt. Soc. Am. A 5, 19-24 (1988)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-5-1-19


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References

  1. A. Rosenfeld, A. C. Kak, Digital Picture Processing (Academic, New York, 1976). [CrossRef]
  2. B. R. Frieden, “Image enhancement and restoration,” in Picture Processing and Digital Filtering, T. S. Huang, ed., Vol. 6 of Topics in Applied Physics (Springer-Verlag, Berlin, 1975), pp. 179–248.
  3. W. K. Pratt, Digital Image Processing (Wiley, New York, 1978), pp. 378–425.
  4. H. Andrews, B. Hunt, Digital Image Restoration (Prentice-Hall, Englewood Cliffs, N.J., 1977), pp. 126–146.
  5. B. R. Hunt, O. Kulber, “Karhunen–Loeve multispectral image restoration. Part I: theory,” IEEE Trans. Acoust. Speech Signal Process. ASSP-32, 592–600 (1984). [CrossRef]
  6. G. Wyszecki, W. S. Stiles, Color Science—Concepts and Methods, Quantitative Data and Formulas (Wiley, New York, 1967).
  7. N. Ohyama, K. Suzuki, T. Honda, J. Tsujiuchi, R. Ono, S. Ikeda, “Digital processing of endoscopic color images,” Opt. Commun. 55, 4, 242–247 (1985). [CrossRef]

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