NONLINEAR DIFFUSION EQUATION FOR IMAGE DENOISING IN MIXED-GAUSSIAN NOISE ENVIRONMENT

2008 ◽  
Author(s):  
HEE IL HAHN ◽  
DAE HYUN RYU
Keyword(s):  
Diffusion Equation ◽  
Image Denoising ◽  
Gaussian Noise ◽  
Nonlinear Diffusion ◽  
Nonlinear Diffusion Equation ◽  
Noise Environment

Nonlinear Diffusion Equation for Image Denoising Method Based on Gradient Fidelity Term

2010 ◽  
Vol 29-32 ◽  
pp. 934-939
Author(s):  
Da Sheng Wu ◽  
Qing Qing Wen ◽  
Yu Ping Rao
Keyword(s):  
Diffusion Equation ◽  
Image Denoising ◽  
Computational Efficiency ◽  
Nonlinear Diffusion ◽  
Functional Model ◽  
Nonlinear Diffusion Equation ◽  
Visual Effects ◽  
Denoising Method ◽  
Variation Function ◽  
Fidelity Term

This article introduces the gradient fidelity term into the functional model of the image denoising to obtain a new denoising functional model and derive the relative nonlinear diffusion denoising model. The new model has been proved that the bounded variation function is integrable, which will get rid of the problem of edge leaking. According to the experimental results, the application of this model is to prevent the "ladder" effect, the result of piecewise smooth can be acquired with more natural visual effects, meanwhile, the method has been proved more stable for the value calculation and has higher computational efficiency.

scholarly journals A New Nonlinear Diffusion Equation Model for Noisy Image Segmentation

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Bo Chen ◽  
Xiao-Hui Zhou ◽  
Li-Wei Zhang ◽  
Jie Wang ◽  
Wei-Qiang Zhang ◽  
...  
Keyword(s):  
Image Segmentation ◽  
Diffusion Equation ◽  
Image Denoising ◽  
Level Set ◽  
Nonlinear Diffusion ◽  
Equation Model ◽  
Nonlinear Diffusion Equation ◽  
Noisy Image ◽  
Level Set Function ◽  
Set Function

Image segmentation and image denoising are two important and fundamental topics in the field of image processing. Geometric active contour model based on level set method can deal with the problem of image segmentation, but it does not consider the problem of image denoising. In this paper, a new diffusion equation model for noisy image segmentation is proposed by incorporating some classical diffusion equation denoising models into the segmental process. An assumption about the connection between the image intensity and level set function is given firstly. Some classical denoising models are employed to describe the evolution of level set function secondly. The final nonlinear diffusion equation model for noisy image segmentation is built thirdly. Then image segmentation and image denoising are combined in a united framework. The segmental results can be presented by level set function. Experimental results show that the new model has the advantage of noise resistance and is superior to traditional segmentation model.

NONLINEAR DIFFUSION EQUATION WITH A PERTURBED CONVECTIONTERM: POTENTIAL SYMMETRIES WITH RESPECT TO THE SECOND CONSERVATION LAW

2021 ◽  
Vol 10 (5) ◽  
pp. 2611-2624
Author(s):  
O.K. Narain ◽  
F.M. Mahomed
Keyword(s):  
Diffusion Equation ◽  
Conservation Law ◽  
Nonlinear Diffusion ◽  
Nonlinear Diffusion Equation ◽  
The Other ◽  
Linear Case ◽  
Exact Equation ◽  
Convection Term ◽  
Potential Symmetries ◽  
Perturbed Equation

We consider the nonlinear diffusion equation with a perturbed convection term. The potential symmetries for the exact equation with respect to the second conservation law are classified. It is found that these exist only in the linear case. It is further shown that no nontrivial approximate potential symmetries of order one exists for the perturbed equation with respect to the other conservation law.

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