Regularizing algorithm with an adaptive stabilizer for the image-restoration problem

Serezhnikova Т.I.

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Publication in Journal of Optical Technology

For Russian citation (Opticheskii Zhurnal):

Сережникова Т.И. Регуляризирующий алгоритм с адаптивным стабилизатором для задачи восстановления изображений // Оптический журнал. 2020. Т. 87. № 7. С. 31–40. http://doi.org/10.17586/1023-5086-2020-87-07-31-40

Serezhnikova T.I. Regularizing algorithm with an adaptive stabilizer for the image-restoration problem [in Russian] // Opticheskii Zhurnal. 2020. V. 87. № 7. P. 31–40. http://doi.org/10.17586/1023-5086-2020-87-07-31-40

For citation (Journal of Optical Technology):

T. I. Serezhnikova, "Regularizing algorithm with an adaptive stabilizer for the image-restoration problem," Journal of Optical Technology. 87(7), 410-416 (2020). https://doi.org/10.1364/JOT.87.000410

Abstract:

This paper proposes and appraises what we believe to be a new design for a two-dimensional stabilizer that makes it possible to use iterations to refine the geometrical parameters of segments on an image. The algorithm makes it possible to compute the contour points of the boundaries of the segments at the final stages of the calculations and implements a simple effective procedure for accomplishing this. The results of using the algorithm are demonstrated: simultaneous restoration of an image with the segments that exist on the image and images of the restored contours of the segments on the image.

Keywords:

image and segment recovery in the image, two-dimensional in-tegral Fredholm equation of the first kind, non-smooth solutions, regularization, adaptation, stabilization, subgradient process

OCIS codes: 100.0100

References:

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