Fourier transform in restoration problem

Olga P. Miliukova

doi:10.1117/12.199618

19 January 1995 Fourier transform in restoration problem

Olga P. Miliukova

Proceedings Volume 2363, 5th International Workshop on Digital Image Processing and Computer Graphics (DIP-94); (1995) https://doi.org/10.1117/12.199618
Event: Digital Image Processing and Computer Graphics: Fifth International Workshop, 1994, Samara, Russian Federation

Abstract

The image restoration problem is considered to be an underdetermined inverse problem. Its solution is reduced to the solution of an extreme problem of two types -- unconditional and conditional. The choice of problem type depends on the character of a priori information about the ideal image. Under certain conditions to obtain the solution of these problems one can use the Fourier transform. However, for underdetermined problems it is not possible to use the Fourier transform without the preliminary extension of an output image and a distorting operator. Such extension procedure is proposed in this paper.

Citation Download Citation

Olga P. Miliukova "Fourier transform in restoration problem", Proc. SPIE 2363, 5th International Workshop on Digital Image Processing and Computer Graphics (DIP-94), (19 January 1995); https://doi.org/10.1117/12.199618

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