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A priori information in the problems of restoration
O.P. Milyukova

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Pages: 148-155.

Full text of article: Russian language.

Abstract:
The problem of restoration of distorted images can generally be formulated as an undetermined inverse problem of mathematical physics. In such a setting, image restoration is reduced to solving a problem of a conditional or unconditional extremum. Similarly to any undetermined problem, the success in its solution is ensured by the completeness of a priori information about the target image. It is extremely important to find a method to formalize mathematically our intuitive ideas about the image properties that would not only adequately describe the main characteristics of the image, but also ensure the stability and uniqueness of solution of the extremum problem.

Citation:
Milyukova OP. A priori information in the problems of restoration. Computer Optics 1995; 14-15(1): 148-155.

References:
  1. Tikhonov AN, Arsenin ZY. Methods for Solving the Ill-Conditioned Problems. Moscow: Nauka; 1983.
  2. Milyukova OP. Digital restoration of distorted images. Moscow: IPPI RAS; 1988.
  3. Vitushkin AG. On multidimensional variations. Moscow: Gostekhizdat; 1955 .

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