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An improved fourth order nonlinear diffusion filtering method is presented. An edge-detection function is introduced and the new method can adjust the diffusion speed adaptively. Compared to some previous high order filtering, the proposed method can preserve edges while denoising. Experimental results demonstrate the performance of the new fourth order nonlinear diffusion method.
This paper presents an edge-preserving fourth order partial differential equation (PDE) method for image denoising. This method can preserve edges and avoid the staircase effect. The proposed fourth order model contains a function of gradient norm as an edge detector, which controls the diffusion speed according to the local structure of the image and preserves more details. Denoising results are...
This paper presents a novel four order adaptive (FOA) PDE method for denoising of magnetic resonance (MR) images. FOA method can adjust the diffusion speed according to the local structure of the image and preserve more details in MRI data. Denoising results on T-1 and T-2 weight MR images are given. We have also compared our method with related PDE models.
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