Restoration of color images by multichannel Kalman filtering

  • Authors:
  • N.P. Galatsanos;R.T. Chin

  • 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

A Kalman filter for optimal restoration of multichannel images is presented. This filter is derived using a multichannel semicausal image model that includes between-channel degradation. Both stationary and nonstationary image models are developed. This filter is implemented in the Fourier domain and computation is reduced from O(Λ 3N3M4) to O(Λ3N3M2 ) for an M×M N-channel image with degradation length Λ. Color (red, green, and blue (RGB)) images are used as examples of multichannel images, and restoration in the RGB and YIQ domains is investigated. Simulations are presented in which the effectiveness of this filter is tested for different types of degradation and different image model estimates