The Family of Parametric Projection Filters and Its Properties for Perturbation

Hideyuki IMAI  Akira TANAKA  Masaaki MIYAKOSHI  

Publication
IEICE TRANSACTIONS on Information and Systems   Vol.E80-D   No.8   pp.788-794
Publication Date: 1997/08/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8532
Type of Manuscript: PAPER
Category: Image Processing,Computer Graphics and Pattern Recognition
Keyword: 
image restoration,  parametric filters,  perturbation,  

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Summary: 
A lot of optimum filters have been proposed for an image restoration problem. Parametric filter, such as Parametric Wiener Filter, Parametric Projection Filter, or Parametric Partial Projection Filter, is often used because it requires to calculate a generalized inverse of one operator. These optimum filters are formed by a degradation operator, a covariance operator of noise, and one of original images. In practice, these operators are estimated based on empirical knowledge. Unfortunately, it happens that such operators differ from the true ones. In this paper, we show the unified formulae of inducing them to clarify their common properties. Moreover, we investigate their properties for perturbation of a degradation operator, a covariance operator of noise, and one of original images. Some numerical examples follow to confirm that our description is valid.