PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity

Kumar, Santosh; Alam, Khursheed

doi:10.22034/cmde.2020.37139.1646

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	PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity
Computational Methods for Differential Equations
مقاله 12، دوره 9، شماره 4، دی 2021، صفحه 1100-1108 اصل مقاله (1.6 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.37139.1646
نویسندگان
Santosh Kumar^* ؛ Khursheed Alam
Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-201310, UP, India.
چکیده
In the present study, we propose an effective nonlinear anisotropic diffusion-based hyperbolic parabolic model for image denoising and edge detection. The hyperbolicparabolic model employs a second-order PDEs and has a second-time derivative to time t. This approach is very effective to preserve sharper edges and better-denoised images of noisy images. Our model is well-posed and it has a unique weak solution under certain conditions, which is obtained by using an iterative finite difference explicit scheme. The results are obtained in terms of peak signal to noise ratio (PSNR) as a metric, using an explicit scheme with forward-backward diffusivities.
کلیدواژه‌ها
Image denoising؛ Nonlinear hyperbolic-parabolic equation؛ Nonlinear diffusion equation؛ Explicit scheme؛ Forward-backward diffusivity

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PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity