An improved PDE filtering algorithm based on the structure tensor diffusion
Wang Yi-ya
Abstract
Wang Yi-ya
Abstract
The drawbacks of heat diffusion and PM model are analyzed from the view of diffusion.Then an improved anisotropic filtering algorithm based PDE is proposed.The proposed algorithm can select diffusion coefficients adaptively according to the structure tensor information and local features of the image;in the flat region of the image,diffusion will be executed with equal spread both along the gradient and tangential,while on the edge of the image,diffusion will be executed only along the tangential.The experimental results demonstrate that the proposed algorithm has good filtering performance,which can preserve edge details effectively during denoising.Meanwhile,for both gray image and medical image,the proposed algorithm is superior to the conventional methods in the aspect of objective performance evaluation and subjective visual effect.
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The drawbacks of heat diffusion and PM model are analyzed from the view of diffusion.Then an improved anisotropic filtering algorithm based PDE is proposed.The proposed algorithm can select diffusion coefficients adaptively according to the structure tensor information and local features of the image;in the flat region of the image,diffusion will be executed with equal spread both along the gradient and tangential,while on the edge of the image,diffusion will be executed only along the tangential.The experimental results demonstrate that the proposed algorithm has good filtering performance,which can preserve edge details effectively during denoising.Meanwhile,for both gray image and medical image,the proposed algorithm is superior to the conventional methods in the aspect of objective performance evaluation and subjective visual effect.
Key concepts: Structure tensor, Anisotropic diffusion, Algorithm, Image (mathematics), Diffusion, Enhanced Data Rates for GSM Evolution, Edge-preserving smoothing, Noise reduction