Additive operator splitting scheme for a general mean curvature flow and application in edges enhancement
| Autor: | Rafaa Chouder, Noureddine Benhamidouche |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Journal of Numerical Analysis and Approximation Theory, Vol 53, Iss 2 (2024) |
| Druh dokumentu: | article |
| ISSN: | 2457-6794 2501-059X 24110094 |
| DOI: | 10.33993/jnaat532-1504 |
| Popis: | Many models that use non-linear partial differential equations (PDEs) have been extensively applied for different tasks in image processing. Among these PDE-based approaches, the mean curvature flow filtering has impressive results, for which feature directions in the image are important. In this paper, we explore a general model of mean curvature flow, as proposed in [4, 5]. The model can be re-arranged to a reaction-diffusion form, facilitating the creation of an unconditionally stable semi-implicit scheme for image filtering. The method employs the Additive Operator Split (AOS) technique. Experiments demonstrated that the modified general model of mean curvature flow is highly effective for reducing noise and has a superior job of preserving edges. |
| Databáze: | Directory of Open Access Journals |
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