Two problems of text images enhancement are considered in the paper: superresolution and deringing. The problem of superresolution is the reconstruction of a high resolution image from several low resolution observations. Regularization method with bilateral total variation stabilizer and bimodal penalty function are used to perform the superresolution. Enhancement of text images which includes deringing and denoising is performed using projection onto convex sets with the control of noise level in the basic edges neighborhood — the area where ringing and noise effects are the most noticeable.
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