Post-processing by Total Variation Quasi-solution Method for Image Interpolation

Andrey V. Nasonov, Andrey Serdjevich Krylov, Alexey Lukin · 2007

Image restoration is one of classical inverse problems in image processing and computer vision, which consists of the recovering information about the original image from incomplete or degraded data. In this paper, we consider the problem of reduction of ringing that appears after image resampling. We introduce a novel method for image restoration, based on a quasi-solution method for a compact set of functions with bounded total variation. It is an alternative approach to using a total variation functional as a stabilizer in Tikhonov regularization, and it does not oversmooth or displace edges.

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