<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Finite volume (FV) numerical schemes for the approximation of Affine Morphological Scale Space (AMSS) model are proposed. For the scheme parameter <italic>θ</italic>, 0 ≤ <italic>θ</italic> ≤ 1 the numerical schemes of Crank-Nicolson type were derived. The explicit (<italic>θ</italic> = 0), semi-implicit, fully-implicit (<italic>θ</italic> = 1) and Crank-Nicolson (<italic>θ</italic> = 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.</p>
</abstract>

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.

Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model

Slovak University of Technology in Bratislava

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model"}

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...

Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model

Published Online: Jan 01, 2022

Page range: 53 - 70

Received: Nov 16, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0031

Keywords
affine morphological scale space, finite volume scheme, explicit, semi-implicit, fully-implicit, Crank-Nicolson schemes, stability estimates, error, EOC, CPU time

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Finite Volume Schemes for the Affine Morphological Scale Space (Amss) Model

Published Online: Jan 01, 2022

Page range: 53 - 70

Received: Nov 16, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0031

Keywordsaffine morphological scale space, finite volume scheme, explicit, semi-implicit, fully-implicit, Crank-Nicolson schemes, stability estimates, error, EOC, CPU time

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
affine morphological scale space, finite volume scheme, explicit, semi-implicit, fully-implicit, Crank-Nicolson schemes, stability estimates, error, EOC, CPU time