Fast restoration of a blurred image obtained by a horizontally rotating camera
A problem of restoration of a blurred image obtained by a horizontally rotating camera is considered in this paper. The mathematical model of this problem is the convolution equation on a cyclic group. In the previous papers of the authors, the case of a non-singular equation was considered. The ge...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Samara National Research University
2018-12-01
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Series: | Компьютерная оптика |
Subjects: | |
Online Access: | http://computeroptics.ru/KO/PDF/KO42-6/420613.pdf |
Summary: | A problem of restoration of a blurred image obtained by a horizontally rotating camera is considered in this paper. The mathematical model of this problem is the convolution equation on a cyclic group. In the previous papers of the authors, the case of a non-singular equation was considered. The general case that admits the degeneracy of the convolution equation is considered in this paper. An algorithm is developed based on which a fast program for recovering blurred images is written. The complexity of the algorithm presented in this paper for the degenerate convolution equation is the same as for the non-singular case. The analysis of calculation errors affecting the image quality is given. The influence of the errors of the algorithm's initial data for a degenerate equation is not higher than for a non-singular case. |
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ISSN: | 0134-2452 2412-6179 |