This work is a continuation of the authors' previous publications, in which the restoration of images obtained with a horizontally rotating camera was considered. In this paper, a mathematical model is constructed...
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This work is a continuation of the authors' previous publications, in which the restoration of images obtained with a horizontally rotating camera was considered. In this paper, a mathematical model is constructed for reconstructing blurred images obtained with a camera rotating in the horizontal plane and having its optical axis tilted at an angle to the horizon. The method of image restoration involves constructing a strip of spherical panorama from the original images. Results of numerical experiments that confirm the good quality of the presented image recovery method and the high performance of the developed algorithm are presented.
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...
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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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