• DocumentCode
    2128417
  • Title

    Errorless restoration algorithms for band-limited images

  • Author

    Ferreira, P.J.S.G. ; Pinho, Armando J.

  • Author_Institution
    Dept. de Electron. e Telecoms, Aveiro Univ., Portugal
  • Volume
    3
  • fYear
    1994
  • fDate
    13-16 Nov 1994
  • Firstpage
    157
  • Abstract
    Considers the problem of restoring randomly distributed sets of missing pixels in band-limited discrete images, and give non-iterative and iterative algorithms capable of error-free restoration. The methods discussed have minimum dimension, that is, the size of the matrices and vectors which appear in the algorithm is determined by the number of unknown pixels. This is a characteristic which an alternative iterative formulation, based on the Papoulis-Gerchberg iteration, does not have. Convergence proofs for both the basic algorithms and a number of accelerated iterative methods are included as well. The performance of the methods is demonstrated with examples
  • Keywords
    convergence of numerical methods; image restoration; iterative methods; matrix algebra; random processes; accelerated iterative methods; band-limited images; convergence proof; discrete images; errorless restoration algorithms; iterative algorithms; matrices; minimum dimension; missing pixels; noniterative algorithms; performance; randomly distributed sets; vectors; Acceleration; Convergence; Discrete Fourier transforms; Eigenvalues and eigenfunctions; Fast Fourier transforms; Image restoration; Iterative algorithms; Iterative methods; Pixel; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference
  • Conference_Location
    Austin, TX
  • Print_ISBN
    0-8186-6952-7
  • Type

    conf

  • DOI
    10.1109/ICIP.1994.413868
  • Filename
    413868