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NEW FAST ALGORITHMS FOR RESTORING OBJECTS IMAGES SMEARED AT AN ANGLE

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Two new fast algorithms for solving ill-posed one- and two-dimensional Fredholm integral equa-tions of the first kind by Tikhonov regularization are presented. In both algorithms, the speed increase of solving integral equations of convolution type is achieved by using fast Fourier transform and preliminary calculation of several spectral functions. The difference between this work and the previous ones is that the image smearing is considered at an angle with respect to the horizon, which requires special approaches. The proposed algorithms can be used to quickly restore images from blurred images of moving objects. A numerical example of a fast (about 1 s) restoration of an angle-smeared image of an aircraft is given.

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