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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| Vydáno v: | Kompʹûternaâ optika Ročník 42; číslo 6; s. 1046 - 1053 |
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| Hlavní autoři: | , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Samara National Research University
01.12.2018
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| Témata: | |
| ISSN: | 0134-2452, 2412-6179 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | 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 |
| DOI: | 10.18287/2412-6179-2018-42-6-1046-1053 |