On a reaction-diffusion system applied to image decomposition and restoration

Authors:
Zhichang Guo;Jingxue Yin;Qiang Liu
Affiliations:
Department of Mathematics, Harbin Institute of Technology, 150001 Harbin, PR China;School of Mathematical Sciences, South China Normal University, 510631 Guangzhou, PR China;College of Mathematics and Computational Science, Shenzhen University, 518060 Shenzhen, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2011

Citing 6
Cited 0

Scale-Space and Edge Detection Using Anisotropic Diffusion

IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion

SIAM Journal on Numerical Analysis
Nonlinear total variation based noise removal algorithms

Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

SIAM Journal on Scientific Computing
Modeling Textures with Total Variation Minimization and Oscillating Patterns in Image Processing

Journal of Scientific Computing
Behavioral analysis of anisotropic diffusion in image processing

IEEE Transactions on Image Processing

Quantified Score

Hi-index	0.98

Visualization

Abstract

In this paper, we study a reaction-diffusion system applied to image restoration and image decomposition into cartoon and texture, based on Osher, Sole and Vese's model in [S. Osher, A. Sole, L. Vese, Image decomposition and restoration using total variation minimization and the H^-^1 norm, SIAM Journal on Multiscale Modeling and Simulation 1 (3) (2003) 349-370]. By the regularization method, we establish the existence and uniqueness of entropy solutions to the system with BV initial data and Neumann boundary conditions. Finally, we also give an experimental approach to show the efficiency of this kind of model.