Simultaneous identification and restoration of images using maximum likelihood estimation

Research output: Contribution to conferencePaperpeer-review

5 Scopus citations

Abstract

This paper deals with simultaneous identification and restoration of images. By identification, we mean the estimation of the parameters characterizing the degradation mechanisms. The original image and the additive noise are assumed to be zero-mean Gaussian random processes. Their autocovariance ma trices are unknown parameters. Blurring is part of the degradation. It is specified by its point spread function, which is also an unknown parameter to be estimated. Maximum likelihood estimation is used to find those unknown parameters. In turn, the EM algorithm is used to find the maximum likelihood estimates. In applying the EM algorithm, the observed image is treated as the incomplete data, which turns out to be a linear transformation of the complete data. Different choices of complete data are investigated. Under the assumption that the image covariance and distortion matrices are circulant, the estimation of the unknown parameters becomes feasible. Explicit iterative expressions are derived for the estimation. The restored image is computed in the E-step of the EM algorithm.

Original languageEnglish (US)
Pages236-240
Number of pages5
DOIs
StatePublished - Jan 1 1989
Event1989 IEEE International Conference on Control and Applications, ICCON 1989 - Jerusalem, Israel
Duration: Apr 3 1989Apr 6 1989

Conference

Conference1989 IEEE International Conference on Control and Applications, ICCON 1989
CountryIsrael
CityJerusalem
Period4/3/894/6/89

ASJC Scopus subject areas

  • Process Chemistry and Technology
  • Artificial Intelligence
  • Control and Systems Engineering
  • Control and Optimization

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