PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity
عنوان مقاله: PDE-based hyperbolic-parabolic model for image denoising with forward-backward diffusivity
شناسه ملی مقاله: JR_CMDE-9-4_012
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_CMDE-9-4_012
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Santosh Kumar - Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-۲۰۱۳۱۰, UP, India.
Khursheed Alam - Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-۲۰۱۳۱۰, UP, India.
خلاصه مقاله:
Santosh Kumar - Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-۲۰۱۳۱۰, UP, India.
Khursheed Alam - Department of Mathematics, School of Basic Sciences and Research, Sharda University Greater Noida-۲۰۱۳۱۰, UP, India.
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.
کلمات کلیدی: Image Denoising, nonlinear hyperbolic-parabolic equation, nonlinear diffusion equation, explicit scheme, forward-backward diffusivity
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1597905/