The Family of Parametric Projection Filters and Its Properties for Perturbation

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Author(s)

    • IMAI Hideyuki
    • the Dividion of Systems and Information Engineering, Hokkaido University
    • MIYAKOSHI Masaki
    • the Dividion of Systems and Information Engineering, Hokkaido University

Abstract

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.

Journal

  • IEICE Trans. Inf. & Syst.

    IEICE Trans. Inf. & Syst. 80(8), 788-794, 1997-08-25

    The Institute of Electronics, Information and Communication Engineers

References:  17

Cited by:  5

Codes

  • NII Article ID (NAID)
    110003209881
  • NII NACSIS-CAT ID (NCID)
    AA10826272
  • Text Lang
    ENG
  • Article Type
    Journal Article
  • ISSN
    09168532
  • Data Source
    CJP  CJPref  NII-ELS 
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