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 gen...

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Bibliographic Details
Published in:Kompʹûternaâ optika Vol. 42; no. 6; pp. 1046 - 1053
Main Authors: Kozak, A., Steinberg, B., Steinberg, O.
Format: Journal Article
Language:English
Published: Samara National Research University 01.12.2018
Subjects:
blurred image
computation errors
convolution
image processing
machine vision
optical devices
ISSN:0134-2452, 2412-6179
Online Access:Get full text
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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.
ISSN:0134-2452
2412-6179
DOI:10.18287/2412-6179-2018-42-6-1046-1053