Hybrid Image Inpainting Using Wavelet and CahnHilliard Model.
With a wide range of applications in digital image processing, including multimedia editing, medical imaging, and cultural heritage preservation, image restoration is a fundamental task. In this work, we present a hybrid image restoration framework that combines a diffusion model based on the Cahn-H...
| Publicado en: | Journal of Basrah Researches (Sciences) Vol. 51; no. 2; pp. 116 - 133 |
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| Autores principales: | , |
| Formato: | Artículo |
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Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR)
2025
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=191821463&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 191821463 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 18172695 GYGY jtl: Journal of Basrah Researches (Sciences) issn: 18172695 maglogo: N pubinfo: dt: 2025 vid: 51 iid: 2 pid: 25427 pub: Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) artinfo: ui: 191821463 10.56714/bjrs.51.2.9 ppf: 116 ppct: 17 formats: tig: atl: Hybrid Image Inpainting Using Wavelet and CahnHilliard Model. aug: au: AL-Fartosi, Nada S. Al-Jaberi, Ahmed K. affil: Mathematics Department, College of Education for Pure Science, the University of Basrah, Iraq. su: Wavelet transforms Reaction-diffusion equations Digital image processing Phase separation Image reconstruction algorithms Finite difference method sug: subj: Wavelet transforms Reaction-diffusion equations Digital image processing Phase separation Image reconstruction algorithms Finite difference method keyword: Cahn-Hilliard Equation Discrete Wavelet Transform (DWT) Frequency Domain Image Inpainting Implicit Finite Differences Method المجال الترددي المحدودة الضمنية تحويل الموجة المنفصلة (DWT) تلوين الصورة طريقة الفروق معادلة كاهن-هيليارد ab: With a wide range of applications in digital image processing, including multimedia editing, medical imaging, and cultural heritage preservation, image restoration is a fundamental task. In this work, we present a hybrid image restoration framework that combines a diffusion model based on the Cahn-Hilliard equation with a single-level wavelet transform to decompose an image into distinct frequency components. To maintain structural continuity, this hybrid method leverages the benefits of wavelets in the frequency domain for texture reconstruction and their propagation capabilities in the spatial domain. To achieve smooth information propagation and maintain edge sharpness, the finite implicit finite difference approach is used to solve the problem numerically. The effect of several types of wavelets was analyzed, including Haar, db1, sym1, bior1.1, db4, sym4, coif3, and others. The results indicate that the performance of wavelets varies depending on the length of the support and the smoothness of the fundamental functions, and provide practical guidance for selecting the most suitable wavelet for image restoration in modern image processing applications. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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