On a spatially varied gradient fidelity term in PDE based image denoising

2010 ◽  
Author(s):  
Cong-Cong Xie ◽  
Xiang-Liang Hu
Keyword(s):  
Image Denoising ◽  
Fidelity Term

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 Image Denoising viaL0Gradient Minimization with Effective Fidelity Term

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Wenxue Zhang ◽  
Yongzhen Cao ◽  
Rongxin Zhang ◽  
Lingling Li ◽  
Yunlei Wen
Keyword(s):  
Image Denoising ◽  
Total Variation ◽  
State Of The Art ◽  
Least Square Method ◽  
Least Square ◽  
Image Smoothing ◽  
Piecewise Constant ◽  
Moving Least Square ◽  
Fidelity Term ◽  
Tv Model

TheL0gradient minimization (LGM) method has been proposed for image smoothing very recently. As an improvement of the total variation (TV) model which employs theL1norm of the gradient, the LGM model yields much better results for the piecewise constant image. However, just as the TV model, the LGM model also suffers, even more seriously, from the staircasing effect and the inefficiency in preserving the texture in image. In order to overcome these drawbacks, in this paper, we propose to introduce an effective fidelity term into the LGM model. The fidelity term is an exemplar of the moving least square method using steering kernel. Under this framework, these two methods benefit from each other and can produce better results. Experimental results show that the proposed scheme is promising as compared with the state-of-the-art methods.

scholarly journals An image super-resolution reconstruction model based on fractional-order anisotropic diffusion equation

2021 ◽  
Vol 18 (5) ◽  
pp. 6581-6607
Author(s):  
Jimin Yu ◽  
◽  
Jiajun Yin ◽  
Shangbo Zhou ◽  
Saiao Huang ◽  
...  
Keyword(s):  
Diffusion Equation ◽  
Image Denoising ◽  
Anisotropic Diffusion ◽  
Super Resolution ◽  
New Model ◽  
Staircase Effect ◽  
Washout Filter ◽  
Image Super Resolution ◽  
Fidelity Term ◽  
Anisotropic Diffusion Equation

<abstract><p>The image denoising model based on anisotropic diffusion equation often appears the staircase effect while image denoising, and the traditional super-resolution reconstruction algorithm can not effectively suppress the noise in the image in the case of blur and serious noise. To tackle this problem, a novel model is proposed in this paper. Based on the original diffusion equation, we propose a new method for calculating the adaptive fidelity term and its coefficients, which is based on the relationship between the image gradient and the diffusion function. It is realized that the diffusion speed can be slowed down by adaptively changing the coefficient of the fidelity term, and it is proved mathematically that the proposed fractional adaptive fidelity term will not change the existence and uniqueness of the solution of the original model. At the same time, washout filter is introduced as the control item of the model, and a new model of image super-resolution reconstruction and image denoising is constructed. In the proposed model, the order of fractional differential will be determined adaptively by the local variance of the image. And we give the numerical calculation method of the new model in the frequency domain by the method of Fourier transform. The experimental results show that the proposed algorithm can better prevent the staircase effect and achieve better visual effect. And by introducing washout filter to act as the control of the model, the stability of the system can be improved and the system can converge to a stable state quickly.</p></abstract>

Zero-filling Technique in Fresnel Transfrom Image Reconstruction for MR Image Denoising

PIERS Online ◽  
2005 ◽  
Vol 1 (4) ◽  
pp. 473-477
Author(s):  
Bin-Rong Wu ◽  
Satoshi Ito ◽  
Yoshitsugu Kamimura ◽  
Yoshifumi Yamada
Keyword(s):  
Image Reconstruction ◽  
Image Denoising ◽  
Mr Image

An image Denoising Method Based On Multi Resulation Bilateral Filter

2018 ◽  
Vol 6 (12) ◽  
pp. 448-452
Author(s):  
Md Shaiful Islam Babu ◽  
Kh Shaikh Ahmed ◽  
Md Samrat Ali Abu Kawser ◽  
Ajkia Zaman Juthi
Keyword(s):  
Image Denoising ◽  
Bilateral Filter ◽  
Denoising Method
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