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Evaluation of spatially dependent distortions and correcting filters with piecewise constant linear models
V.V. Sergeev, V.A. Fursov, M.V. Maksimov1
Image Processing Systems Institute of RAS
1Samara State Aerospace University

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Pages: 97-102.

Full text of article: Russian language.

Abstract:
A distortion model is required to solve problems of image correction (restoration). One of the most common types of distortion is defocusing. In optical imaging systems, this type of distortion is often non-isoplanatic. It is known that the problem of compensating for these distortions can be solved by using linear reconstruction filters with the parameters that are adjustable in spatial coordinates. In some cases, the model of non-isoplanatic distortions introduced by optical systems can be represented as a parametric family of two-dimensional functions. In this case, at the stage of restoration, the parameters of the restoration filter can be calculated for each point of the processed image. The parameters of this function can be determined by solving the identification problem on the basis of test images. For the sake of simplicity, it is advisable to reduce the problem of identifying the model of spatially dependent distortions to a set of problems of evaluating spatially invariant models on image fragments that should be as small as possible. This raises the problem of selecting
small image fragments, where the observational data is informative, i.e. where the identification problem can be solved with sufficient accuracy. The range of issues related to this problem is the subject of this work.

Citation:
Sergeev VV, Fursov VA, Maksimov MV. Evaluation of spatially dependent distortions and correcting filters with piecewise constant linear models. Computer Optics; 17: 97-102.

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