Inpainting of regular textures using ridge functions
Kazantsev I.G. Turebekov R.Z. Sultanov M.A.
1 October 2022De Gruyter Open Ltd
Journal of Inverse and Ill-Posed Problems
2022#30Issue 5759 - 766 pp.
In this paper, we propose a method for inpainting regular textures composed of oriented patterns and completion of images distorted by long stripes. We have developed a model fit to describe a regular texture as a sum of a few ridge functions. The ridge functions are known in tomography as a result of a back-projection operator applied to projections, or samples of the Radon transform. A computational scheme for the singular value decomposition of a regular texture into the sum of informative ridge functions is presented. The numerical experiments on various images demonstrate the efficiency of the techniques proposed.
image inpainting , Radon transform , ridge function , texture
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Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, 630090, Russian Federation
Khoja Akhmet Yassawi International Kazakh-Turkish University, Turkestan, 161200, Kazakhstan
Institute of Computational Mathematics and Mathematical Geophysics
Khoja Akhmet Yassawi International Kazakh-Turkish University
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