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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

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)

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  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.
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