A model of image denoising based on partial differential equations
Jing Liu, Fei Gao, Zuozhou Li
Abstract
Jing Liu, Fei Gao, Zuozhou Li
Abstract
Based on the isotropic diffusion denoising model and the total variation (TV) denoising model, an image denoising model, which is constructed by the partial differential equations assigned a weight function is proposed. This model can improve "staircase effect" and "block effect" compared to the isotropic diffusion denoising model and the total variation (TV) denoising model, respectively. Numerical experiments show that the model is able to remove noise effectively while preserving texture features and edge information well, so that the quality of the denoised image is enhanced.
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Based on the isotropic diffusion denoising model and the total variation (TV) denoising model, an image denoising model, which is constructed by the partial differential equations assigned a weight function is proposed. This model can improve "staircase effect" and "block effect" compared to the isotropic diffusion denoising model and the total variation (TV) denoising model, respectively. Numerical experiments show that the model is able to remove noise effectively while preserving texture features and edge information well, so that the quality of the denoised image is enhanced.
Key concepts: Noise reduction, Image denoising, Partial differential equation, Anisotropic diffusion, Total variation denoising, Noise (video), Isotropy, Diffusion