scholarly journals Selective Sharpening of Color Images through Coupled Nonlinear Diffusion Process

2004 ◽  
Vol 58 (11) ◽  
pp. 1673-1679
Author(s):  
Takahiro Saito ◽  
Hiroyuki Harada ◽  
Jun Satsumabayashi ◽  
Takashi Komatsu
Keyword(s):  
Diffusion Process ◽  
Nonlinear Diffusion ◽  
Color Images

scholarly journals A Weak Limit Theorem for Generalized Jiřina Processes

2009 ◽  
Vol 46 (2) ◽  
pp. 453-462 ◽  
Author(s):  
Yuqiang Li
Keyword(s):  
Limit Theorem ◽  
Diffusion Process ◽  
Nonlinear Diffusion ◽  
Weak Limit ◽  
Weak Limit Theorem ◽  
Lévy Jumps

In this paper we prove that a sequence of scaled generalized Jiřina processes can converge weakly to a nonlinear diffusion process with Lévy jumps under certain conditions.

scholarly journals A Weak Limit Theorem for Generalized Jiřina Processes

2009 ◽  
Vol 46 (02) ◽  
pp. 453-462 ◽  
Author(s):  
Yuqiang Li
Keyword(s):  
Limit Theorem ◽  
Diffusion Process ◽  
Nonlinear Diffusion ◽  
Weak Limit ◽  
Weak Limit Theorem ◽  
Lévy Jumps

In this paper we prove that a sequence of scaled generalized Jiřina processes can converge weakly to a nonlinear diffusion process with Lévy jumps under certain conditions.

The Comparison of Isotropic and Anisotropic Diffusion Techniques for Image Denoising

2010 ◽  
Vol 34-35 ◽  
pp. 557-561
Author(s):  
Cui Yin Liu ◽  
Chun Yu Zhang ◽  
Hong Zhao Yuan ◽  
Xi Long Qu
Keyword(s):  
Diffusion Process ◽  
Nonlinear Diffusion ◽  
Anisotropic Diffusion ◽  
Diffusion Processes ◽  
Local Information ◽  
Linear Diffusion ◽  
Anisotropic Conductivity ◽  
Method Noise ◽  
Non Linear ◽  
The Difference

The non-linear diffusion techniques were proposed for overcome the linear diffusion defaults. The linear diffusion was a homogeneous diffusivity with a constant conductivity. In this diffusion process, the noise and the edges were smoothed in the image. In order to prevent the edge from being smoothed during the denoising, the nonlinear diffusion was proposed by Pereona and Malik. In this method, noise was smoothed Simultaneously with the edges blurred. In diffusion processes, the conductivity is dependent on the image local information. We analyzed the ineffectiveness of isotropic and extended the work into the tensor-based anisotropic diffusion. It would be desirable to rotate the flux towards the orientation of interesting features. We compare the difference of isotroic linear and non-linear anisotropic diffusivity, and considere how to design non-linear anisotropic conductivity based on the different requires of the image filtering.

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