A parabolic system with variable coefficient is applied to image restoration
SUN Junling
YANG Jie
SUN Lei
Abstract：PDEs based image restoration is a good method of dealing with the trade-off between noise removal and edge preservation.One of important mode in image restoration is parabolic type equation.It is concerned with a nonlinear coupled parabolic system with varaible coefficient.The degree of denoising and preservation of singularities can be determined by changing coefficient.By utilizing a separate parabolic system with variable coefficients for the edge variable which is proposed.The denoising results are improved significantly.The denoising capabilities of the linear diffusion are better based on the combination of edge preserving Perona-Malik and Catte et al.''s smoothing PDEs.Finally,an experimental approach is given to show the efficiency of the model.The numerical results which are obtained by applying the above scheme to two artificial heavily noised images.It can improve the general coupled parabolic method and wipe of spots left.Meanwhile,the method could raise the SNR of the data remarkably.The numerical tests reveal that the proposed method delivers better results in image restoration in the case of real images as well as artificial heavily noised images.
Keywords：image restorationparabolic equationnonlinear diffusiondissipative solution
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：7( 126-132 )