Restoration For Linearly Degraded Digital Pictures By Using The Generalized Laplacian

Shozo Kondo; Moriyuki Matsuo

doi:10.1117/12.936634

9 January 1984 Restoration For Linearly Degraded Digital Pictures By Using The Generalized Laplacian

Shozo Kondo, Moriyuki Matsuo

Proceedings Volume 0432, Applications of Digital Image Processing VI; (1984) https://doi.org/10.1117/12.936634
Event: 27th Annual Technical Symposium, 1983, San Diego, United States

Abstract

There are two kinds of restoration methods for linearly degraded digital pictures which have been proposed until now; the one is a spatial frequency filtering method by using two-dimensional Fourier transforms and the other is a method by using the generalized inverse of matrices. In both of the methods, a large amount of computing time and memory are required to restore a degraded picture, then it is quite difficult to construct an on-line picture restoration system. A restoration method proposed in this paper uses Neumann's series expangianof the generalized inverses of matrices. In this method,a degraded picture is restored by a matrix called a generalized Laplacian which is made from a matrix which represents degradation function. If degradation can be assumed to be shift-invariant,this method becomes to be quite simple and efficient, and requires only small amount of computing time and memory.

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Shozo Kondo and Moriyuki Matsuo "Restoration For Linearly Degraded Digital Pictures By Using The Generalized Laplacian", Proc. SPIE 0432, Applications of Digital Image Processing VI, (9 January 1984); https://doi.org/10.1117/12.936634

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KEYWORDS

Aluminum

Matrices

Digital filtering

Astatine

Data communications

Communication engineering

Fourier transforms

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