Pregled bibliografske jedinice broj: 1219208
Shock filter as the classifier for image inpainting problem using the Cahn-Hilliard equation
Shock filter as the classifier for image inpainting problem using the Cahn-Hilliard equation // Computers & mathematics with applications, 123 (2022), 105-114 doi:10.1016/j.camwa.2022.07.021 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1219208 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Shock filter as the classifier for image inpainting problem using the
Cahn-Hilliard equation
Autori
Novak, Andrej ; Reinić, Nora
Izvornik
Computers & mathematics with applications (0898-1221) 123
(2022);
105-114
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Image inpainting ; Cahn-Hilliard equation ; Shock filter
Sažetak
We consider a problem of digital image inpainting using the modified Cahn-Hilliard equation, where the standard double well potential is replaced by the shock filter. Using fixed point arguments and Aubin-Lions lemma we prove the existence and uniqueness of the solution. In addition, we introduce a numerical method based on the convexity splitting idea to approximate the solutions of the considered problem. We apply this method to several binary images and demonstrate that this approach naturally extends image features and preserves their edges.
Izvorni jezik
Engleski
Znanstvena područja
Matematika, Računarstvo
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-2449 - Mikrolokalni defektni alati u parcijalnim diferencijalnim jednadžbama (MiTPDE) (Antonić, Nenad, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Andrej Novak
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
