A unified approach to iterative image restoration

Aggelos K. Katsaggelos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this paper a class of iterative image restoration algorithms is derived based on a representation theorem for the generalized inverse of a matrix. These algorithms exhibit a first or higher order of convergence and some of them consist of an “on-line” and an “off-line” computational part. The conditions of convergence and the rate of convergence of these algorithms are derived. A faster rate of convergence can be achieved by increasing the computational load. The algorithms can be applied to the restoration of signals of any dimensionality. Iterative restoration algorithms that have appeared in the literature represent special cases of the class of algorithms described here.

Original languageEnglish (US)
Pages (from-to)176-181
Number of pages6
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - Oct 13 1987

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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