Shandong Science ›› 2021, Vol. 34 ›› Issue (2): 90-95.doi: 10.3976/j.issn.1002-4026.2021.02.012

• Other Research Article • Previous Articles     Next Articles

Image restoration method based on partial differential equations

MIAO Xiao, ZHANG Xin-dong*,TANG Quan,YANG Si-yuan   

  1. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830017, China
  • Received:2020-06-04 Online:2021-04-13 Published:2021-04-14

Abstract: For the case in which the original model has the same weight at each reference point on a TV model, the paper propose a new concept whereby a diffusion function based on the gradient value of the pixels in the area to be repaired is constructed. The diffusion function is used to control the value of the contribution of each reference point. In addition, an adaptive iterative function for time parameters based on the idea of nonlinear diffusion is proposed. The diffusion function and adaptive iterative function work together to complete the image inpainting. Results of the experiment reveal that the new method proposed in this paper can achieve good processing effect in less time.

Key words: image restoration, TV algorithm, diffusion function, adaptive

CLC Number: 

  • TP391