Least squares restoration of multichannel images

  • Authors:
  • N.P. Galatsanos;A.K. Katsaggelos;R.T. Chin;A.D. Hillery

  • Affiliations:
  • Dept. of Electr. & Comput. Eng., Illinois Inst. of Technol., Chicago, IL;-;-;-

  • Venue:
  • IEEE Transactions on Signal Processing
  • Year:
  • 1991

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Abstract

Multichannel restoration using both within- and between-channel deterministic information is considered. A multichannel image is a set of image planes that exhibit cross-plane similarity. Existing optimal restoration filters for single-plane images yield suboptimal results when applied to multichannel images, since between-channel information is not utilized. Multichannel least squares restoration filters are developed using the set theoretic and the constrained optimization approaches. A geometric interpretation of the estimates of both filters is given. Color images (three-channel imagery with red, green, and blue components) are considered. Constraints that capture the within- and between-channel properties of color images are developed. Issues associated with the computation of the two estimates are addressed. A spatially adaptive, multichannel least squares filter that utilizes local within- and between-channel image properties is proposed. Experiments using color images are described