In: Tatra Mountains Mathematical Publications, vol. 80, no. 3
Angela Handlovičová - Karol Mikula
Details:
Year, pages: 2021, 53 - 70
Language: eng
Keywords:
affine morphological scale space, finite volume scheme, explicit, semi-implicit, fully-implicit, Crank-Nicolson schemes, stability estimates, error, EOC, CPU time
Article type: Mathematics
Document type: scientific paper
About article:
Finite volume (FV) numerical schemes for the approximation of Affine Morphological Scale Space (AMSS) model are proposed. For the scheme parameter $θ, 0≤ θ ≤ 1$ the numerical schemes of Crank-Nicolson type were derived. The explicit ($θ=0$), semi-implicit, fully-implicit ($θ =1$) and Crank-Nicolson ($θ=0.5$) schemes were studied. Stability estimates for explicit and implicit schemes were derived. On several numerical experiments the properties and comparison of the numerical schemes are presented.
How to cite:
ISO 690:
Handlovičová, A., Mikula, K. 2021. Finite volume schemes for the affine morphological scale space (AMSS) model. In Tatra Mountains Mathematical Publications, vol. 80, no.3, pp. 53-70. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0031
APA:
Handlovičová, A., Mikula, K. (2021). Finite volume schemes for the affine morphological scale space (AMSS) model. Tatra Mountains Mathematical Publications, 80(3), 53-70. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0031
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 12. 2021
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/