Numerical Optimization and Hybrid Algorithms for Image Processing and Encryption Using Heat Equation.

This study investigates developing and optimizing hybrid algorithms for image processing and encryption using numerical optimization techniques based on heat diffusion methods. Using finite difference methods, we show the application to different types of images, which will be converted into arrays...

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Publicado en:Journal of Basrah Researches (Sciences) Vol. 51; no. 1; pp. 43 - 59
Autor principal: Ahmed, Zainab Hassan
Formato: Artículo
Publicado: Republic of Iraq Ministry of Higher Education & Scientific Research (MOHESR) 2025
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        atl: Numerical Optimization and Hybrid Algorithms for Image Processing and Encryption Using Heat Equation.
      aug:
        au: Ahmed, Zainab Hassan
        affil: Department of Mathematics, College of Science, Tikrit University, Tikrit 34001, Iraq.
      su:
        Finite difference method
        Finite differences
        Image encryption
        Image processing
        Heat equation
      sug:
        subj:
          Finite difference method
          Finite differences
          Image encryption
          Image processing
          Heat equation
      keyword:
        Finite Differences
        Heat Diffusion
        Hybrid Algorithm
        Image Processing
        Numerical Optimization
        الأمثلية العددية
        الخوارزميات الهجينة
        الفروقات المنتهية
        معادلة الحرارة
        معالجة صورية
      ab: This study investigates developing and optimizing hybrid algorithms for image processing and encryption using numerical optimization techniques based on heat diffusion methods. Using finite difference methods, we show the application to different types of images, which will be converted into arrays and treated as coefficients in the computational process. The paper aims to enhance image quality through algorithmic optimization and hybridization strategies. Experiments in one and two dimensions are conducted using both explicit and implicit methods to evaluate the impact of these techniques on image processing. The performance of the proposed approach is analyzed using statistical metrics such as Peak Signal-to-Noise Ratio (PSNR), Mean Squared Error (MSE), Maximum Difference (MD), and additional quality assessment parameters.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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