Total variation with nonlocal FT-Laplacian for patch-based inpainting

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F19%3AA2001W43" target="_blank" >RIV/61988987:17610/19:A2001W43 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00500-018-3589-8" target="_blank" >https://doi.org/10.1007/s00500-018-3589-8</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00500-018-3589-8" target="_blank" >10.1007/s00500-018-3589-8</a>

Result language
angličtina
Original language name
Total variation with nonlocal FT-Laplacian for patch-based inpainting
Original language description
We consider the problem of inpainting for relatively large damaged areas where the best-known results areachieved using patches. We stem from the ROF-type model. We propose a new ROF model with nonlocaloperators and modify it with the F-transform-based operators. As a result, the minimization is consideredover a searching space restricted to a finite set of possible reconstructions; each of them is a result of apatch-based inpainting. The fidelity term in the proposed ROF model is estimated by the norm in aSobolev-like space, which increases the overall quality of reconstruction.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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