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

Angela Handlovičová; Karol Mikula

doi:10.2478/tmmp-2021-0031

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

Tatra Mountains Mathematical Publications

Volume 80 (2021): Issue 3 (December 2021)

By: Angela Handlovičová and Karol Mikula

Open Access

|Jan 2022

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0031 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 53 - 70

Submitted on: Nov 16, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

affine morphological scale space,

finite volume scheme,

explicit,

semi-implicit,

fully-implicit,

Crank-Nicolson schemes,

stability estimates,

error,

EOC,

CPU time

Related subjects:

Mathematics,

General mathematics

© 2022 Angela Handlovičová, Karol Mikula, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 80 (2021): Issue 3 (December 2021)