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Pregled bibliografske jedinice broj: 1105100

A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation

Brkić, Antun Lovro; Novak, Andrej
A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation // Advances in Non-Integer Order Calculus and Its Applications / Malinowska, Agnieszka B. ; Mozyrska, Dorota ; Sajewski, Łukasz (ur.)., 2020. str. 229-239 doi:10.1007/978-3-030-17344-9_17

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Naslov
A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation

Autori
Brkić, Antun Lovro ; Novak, Andrej

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Advances in Non-Integer Order Calculus and Its Applications

Urednik/ci
Malinowska, Agnieszka B. ; Mozyrska, Dorota ; Sajewski, Łukasz

Izdavač
Springer

Godina
2020

Raspon stranica
229-239

ISBN
978-3-030-17343-2

Ključne riječi
Image inpainting, PDE, Allen–Cahn equation

Sažetak
Digital image inpainting problem deal with the interpolation of the damaged or missing regions of the image. In this paper we study the effect of the nonlocal image inpainting with respect to the local models and aim to demonstrate that linear fractional equations produce natural images, comparable to the ones obtained by the nonlinear equations. Simulations are obtained by the implementation of the finite difference 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:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Andrej Novak (autor)

Avatar Url Antun Brkic (autor)

Poveznice na cjeloviti tekst rada:

doi link.springer.com doi.org

Citiraj ovu publikaciju:

Brkić, Antun Lovro; Novak, Andrej
A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation // Advances in Non-Integer Order Calculus and Its Applications / Malinowska, Agnieszka B. ; Mozyrska, Dorota ; Sajewski, Łukasz (ur.)., 2020. str. 229-239 doi:10.1007/978-3-030-17344-9_17
Brkić, A. & Novak, A. (2020) A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation. U: Malinowska, A., Mozyrska, D. & Sajewski, Ł. (ur.) Advances in Non-Integer Order Calculus and Its Applications., Springer, str. 229-239 doi:10.1007/978-3-030-17344-9_17.
@inbook{inbook, author = {Brki\'{c}, Antun Lovro and Novak, Andrej}, year = {2020}, pages = {229-239}, DOI = {10.1007/978-3-030-17344-9\_17}, keywords = {Image inpainting, PDE, Allen–Cahn equation}, doi = {10.1007/978-3-030-17344-9\_17}, isbn = {978-3-030-17343-2}, title = {A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation}, keyword = {Image inpainting, PDE, Allen–Cahn equation}, publisher = {Springer} }
@inbook{inbook, author = {Brki\'{c}, Antun Lovro and Novak, Andrej}, year = {2020}, pages = {229-239}, DOI = {10.1007/978-3-030-17344-9\_17}, keywords = {Image inpainting, PDE, Allen–Cahn equation}, doi = {10.1007/978-3-030-17344-9\_17}, isbn = {978-3-030-17343-2}, title = {A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation}, keyword = {Image inpainting, PDE, Allen–Cahn equation}, publisher = {Springer} }

Časopis indeksira:


  • Web of Science Core Collection (WoSCC)
    • Book Citation Index - Science (BKCI-S)
  • Scopus

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