THE FAMILY OF PARAMETRIC PROJECTION FILTERS AND ITS PROPERTIES FOR PERTURBATION

A lot of optimum filters have been proposed for an image restoration p roblem. Parametric filter, such as Parametric Wiener Filter, Parametri c Projection Filter, or Parametric Partial Projection Filter, is often used because it requires to calculate a generalized inverse of one op erator. 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. Unfortuna tely 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 pert urbation of a degradation operator. a covariance operator of noise. an d one of original images. Some numerical examples follow to confirm th at our description is valid.