会议专题

A new image restoration algorithm based on variational derivative

A new application for variational derivative to image restoration is proposed. Firstly an appropriate cost functional is chosen. To overcome the shortcoming of linear diffusion of blurring edges, the linear diffusion coefficient at each pixel is perturbed. Then, by its definition, F derivative can be taken as an indicator to pick out the most suitable pixels at which the linear diffusion coefficients are to be changed, and correspondingly, the optimum anisotropic diffusion coefficients associated to these pixels can also be selected. The diffusion coefficient chosen here has global property. Results of numerical experiment show the chosen pixels correspond to edges of the image. And due to the nature of anisotropic diffusion, this algorithm can remove noise and preserve edges very well as comparing to nonlinear isotropic diffusion. The peak signal-to-noise ratio and signal-to-noise ratio of the denoised image are improved 24.51% and 93.53% respectively than the original polluted image using this algorithm.

image restoration denoise variational derivative nonlinear anisotropic diffusion

Wenjuan Zhang Weibin Zhang

School of Science,Xidian University,Xian 710071,China;Department of Mathematics and Physics,Xian T School of Science,Xidian University,Xian 710071,China;School of Mathematics and Computer Science,Ni

国际会议

The Fifth International Conference on Information Assurance and Security(第五届信息保障与安全国际会议)

西安

英文

241-244

2009-08-18(万方平台首次上网日期,不代表论文的发表时间)