Denoising and inpainting of images using TV-type energies: theoretical and computational aspects. (English. Russian original) Zbl 1381.94011

J. Math. Sci., New York 219, No. 6, 899-910 (2016); translation from Probl. Mat. Anal. 87, 69-78 (2016).
Summary: We discuss variational approaches towards the denoising of images and towards the image inpainting problem combined with simultaneous denoising. Our techniques are based on variants of the TV-model, but in contrast to this case a complete analytical theory is available in our setting. At the same time, numerical experiments illustrate the advantages of our models in comparison with some established techniques.


94A08 Image processing (compression, reconstruction, etc.) in information and communication theory
49J10 Existence theories for free problems in two or more independent variables
68U10 Computing methodologies for image processing
Full Text: DOI


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