prikaz prve stranice dokumenta On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation
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Scientific paper - Original scientific paper
On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation
Journal of Advanced Research, 25 (2020); 67-76. https://doi.org/10.1016/j.jare.2020.04.015
Brkić, Antun Lovro; Mitrović, Darko; Novak, Andrej

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Brkić, A. L., Mitrović, D. & Novak, A. (2020). On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation. Journal of Advanced Research, 25., 67-76. doi: 10.1016/j.jare.2020.04.015

Brkić, Antun Lovro, et al. "On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation." Journal of Advanced Research, vol. 25, 2020, pp. 67-76. https://doi.org/10.1016/j.jare.2020.04.015

Brkić, Antun Lovro, Darko Mitrović and Andrej Novak. "On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation." Journal of Advanced Research 25 (2020): 67-76. https://doi.org/10.1016/j.jare.2020.04.015

Brkić, A. L., Mitrović, D. and Novak, A. (2020) 'On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation', Journal of Advanced Research, 25, pp. 67-76. doi: 10.1016/j.jare.2020.04.015

Brkić AL, Mitrović D, Novak A. On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation. Journal of Advanced Research [Internet]. 2020 [cited 2024 April 29];25:67-76. doi: 10.1016/j.jare.2020.04.015

A. L. Brkić, D. Mitrović and A. Novak, "On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation", Journal of Advanced Research, vol. 25, pp. 67-76, 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:559112. [Accessed: 29 April 2024]

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Metadata
Title (english)On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation
AuthorAntun Lovro Brkić
AuthorDarko Mitrović
AuthorAndrej Novak
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Abstract (english)
Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curvesthan the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired bythe Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linearand that the computational costs are lower than those for the standard Cahn-Hilliard equation, while theinpainting results remain of high quality. We develop a numerical scheme for solving the resulting equa-tions and provide an example of inpainting showing the potential of our method.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleJournal of Advanced Research
Numberingvol. 25, pp. 67-76
p-ISSN2090-1232
DOIhttps://doi.org/10.1016/j.jare.2020.04.015
URN:NBNurn:nbn:hr:217:559112
Publication2020
Document URLhttps://linkinghub.elsevier.com/retrieve/pii/S209012322030076X
Type of resourceText
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Public note© 2020. The Authors. Published by Elsevier B.V. on behalf of Cairo University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Received 2 January 2020; revised 23 April 2020; accepted 25 April 2020; available online 15 May 2020.
Created on2020-11-20 16:09:53