3 papers
math.AP2025
On a nonlinear nonlocal reaction-diffusion system applied to image restoration
Yuhang Li, Zhichang Guo, Jingfeng Shao +1
This paper deals with a novel nonlinear coupled nonlocal reaction-diffusion system proposed for image restoration, characterized by the advantages of preserving low gray level feat…
math.AP2025
Coupling local and nonlocal total variation flow for image despeckling
Yi Ran, Zhichang Guo, Kehan Shi +4
Nonlocal equations effectively preserve textures but exhibit weak regularization effects in image denoising, whereas local equations offer strong denoising capabilities yet fail to…
math.AP2025
On a class of forward-backward reaction-diffusion systems with local and nonlocal coupling for image restoration
Yihui Tong, Wenjie Liu, Zhichang Guo +2
This paper investigates a class of novel nonlinear reaction-diffusion systems that couple forward-backward with fractional diffusion for image restoration, offering the advantage o…