Pregled bibliografske jedinice broj: 1105097
On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation
On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation // Journal of advanced research, 25 (2020), 67-76 doi:10.1016/j.jare.2020.04.015 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1105097 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On the image inpainting problem from the viewpoint of a
nonlocal Cahn-Hilliard type equation
Autori
Brkić, Antun Lovro ; Mitrović, Darko ; Novak, Andrej
Izvornik
Journal of advanced research (2090-1232) 25
(2020);
67-76
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Fractional calculus ; Image inpainting ; Partial differential equations
Sažetak
Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality. We develop a numerical scheme for solving the resulting equations and provide an example of inpainting showing the potential of our method.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Fizika, Računarstvo
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-2449 - Mikrolokalni defektni alati u parcijalnim diferencijalnim jednadžbama (MiTPDE) (Antonić, Nenad, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Institut za fiziku, Zagreb,
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
