Anisotropic diffusion model based on generalized metric in Sobolev space

作者：Liu Xiao Yan^*; Feng Xiang Chu; Zhao Chen Ping

来源：Acta Automatica Sinica, 2015, 41(2): 320-329.

DOI：10.16383/j.aas.2015.c140564

• Anisotropic Diffusion
• Anisotropic diffusion model
• Diffusion behavior
• Edge preservations
• Image diffusion
• Image sharpening
• Model and algorithms
• Space-varying coefficients

A generalized metric is defined in Sobolev space, based on which an anisotropic sharpening/diffusion equation is presented. Since the space-varying coefficient of the generalized metric can control the diffusion behavior better, the proposed model can not only highlight the image detail effectively but also achieve a good balance between noise removal and edge preservation. The corresponding implicit algorithm is then developed. Simulation results show that the new model and algorithm are feasible.

• 出版日期2015-2-1
• 单位西安电子科技大学