Signal, Image and Video Processing

, Volume 13, Issue 1, pp 87–94 | Cite as

Image diffusion filtering algorithm combined with variable exponent and convective constraint

  • Jinhua LiuEmail author
  • Kun She
  • Yongming Li
  • Qiu Tu
Original Paper


A diffusion function based on mixed gradient and variable exponent is built by combining image characteristics in wavelet transform and spatial domains to solve the edge blurring problem of the traditional anisotropic diffusion model in image filtering and improve image filtering performance. A convective term is introduced as a constraint in the image diffusion model to control the strength of image diffusion, and an image adaptive diffusion filtering algorithm is developed. Experimental simulation using test images as research objects is performed to verify the effectiveness of the proposed algorithm. Results show that the proposed algorithm effectively inhibits the edge blurring effect during image diffusion and improves the visual quality of the filtered image.


Image filtering Diffusion model Convective constraint Variable exponent Structural similarity 



This work was supported by the Science and Technology Foundation of Jiangxi Provincial Education Department (No. GJJ170922) and the National Natural Science Foundation of China under No. 11461057.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mathematics and Computer SciencesShangrao Normal UniversityShangraoChina
  2. 2.School of Physics and Electronic InformationShangrao Normal UniversityShangraoChina
  3. 3.School of Information and Software EngineeringUniversity of Electronic Science and Technology of ChinaChengduChina

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