Hessian matrix-based fourth-order anisotropic diffusion filter for image denoising

2019 ◽  
Vol 110 ◽  
pp. 184-190 ◽  
Author(s):  
Lizhen Deng ◽  
Hu Zhu ◽  
Zhen Yang ◽  
Yujie Li
Keyword(s):  
Image Denoising ◽  
Fourth Order ◽  
Anisotropic Diffusion ◽  
Hessian Matrix ◽  
Diffusion Filter ◽  
Anisotropic Diffusion Filter

An Algorithm Based on Compound Anisotropic Diffusion for Image Denoising

2014 ◽  
Vol 687-691 ◽  
pp. 3927-3931
Author(s):  
Min Fen Shen ◽  
Zhi Fei Su ◽  
Ting Ting Chen ◽  
Li Sha Sun
Keyword(s):  
Correlation Coefficient ◽  
Image Denoising ◽  
Anisotropic Diffusion ◽  
Edge Preservation ◽  
Diffusion Filter ◽  
Anisotropic Diffusion Filter ◽  
Nonlinear Denoising

In this paper we present a compound anisotropic diffusion filter algorithm to apply edge sensitive ICOV operator in NCD model. According to the correlation coefficient of the ICOV operator, we obtain effective nonlinear denoising. The experiment have validated that our algorithm have better effect in smoothing and better ability in edge preservation.

scholarly journals Image denoising using anisotropic second and fourth order diffusions based on gradient vector convolution

2012 ◽  
Vol 9 (4) ◽  
pp. 1493-1511 ◽  
Author(s):  
Huaibin Wang ◽  
Yuanquan Wang ◽  
Wenqi Ren
Keyword(s):  
Image Denoising ◽  
Fourth Order ◽  
Numerical Stability ◽  
Anisotropic Diffusion ◽  
Computational Cost ◽  
Gradient Vector ◽  
Order Model ◽  
Robustness To Noise ◽  
Fourth Order Model ◽  
Low Computational Cost

In this paper, novel second order and fourth order diffusion models are proposed for image denoising. Both models are based on the gradient vector convolution (GVC) model. The second model is coined by incorporating the GVC model into the anisotropic diffusion model and the fourth order one is by introducing the GVC to the You-Kaveh fourth order model. Since the GVC model can be implemented in real time using the FFT and possesses high robustness to noise, both proposed models have many advantages over traditional ones, such as low computational cost, high numerical stability and remarkable denoising effect. Moreover, the proposed fourth order model is an anisotropic filter, so it can obviously improve the ability of edge and texture preserving except for further improvement of denoising. Some experiments are presented to demonstrate the effectiveness of the proposed models.

An anisotropic diffusion filter based on multidirectional separability

2013 ◽  
Author(s):  
Shen Liu ◽  
Jianguo Wei ◽  
Xin Wang ◽  
Wenhuan Lu ◽  
Qiang Fang ◽  
...  
Keyword(s):  
Anisotropic Diffusion ◽  
Diffusion Filter ◽  
Anisotropic Diffusion Filter
Sign in / Sign up

Export Citation Format

Share Document