arrow
Volume 9, Issue 1
Compound PDE-Based Additive Denoising Solution Combining an Improved Anisotropic Diffusion Model to a 2D Gaussian Filter Kernel

Tudor Barbu & C. Moroşanu

East Asian J. Appl. Math., 9 (2019), pp. 1-12.

Published online: 2019-01

Export citation
  • Abstract

A second-order nonlinear anisotropic diffusion-based model for Gaussian additive noise removal is proposed. The method is based on a properly constructed edge-stopping function and provides an efficient detail-preserving denoising. It removes additive noise, overcomes blurring effect, reduces the image staircasing and does not generate multiplicative noise, thus preserving boundaries and all the essential image features very well. The corresponding PDE model is solved by a robust finite-difference based iterative scheme consistent with the diffusion model. The method converges very fast to the model solution, the existence and regularity of which is rigorously proved.

  • AMS Subject Headings

35Bxx, 94A08, 35K55, 35K60, 35Qxx, 65Nxx

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{EAJAM-9-1, author = {}, title = {Compound PDE-Based Additive Denoising Solution Combining an Improved Anisotropic Diffusion Model to a 2D Gaussian Filter Kernel}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {1--12}, abstract = {

A second-order nonlinear anisotropic diffusion-based model for Gaussian additive noise removal is proposed. The method is based on a properly constructed edge-stopping function and provides an efficient detail-preserving denoising. It removes additive noise, overcomes blurring effect, reduces the image staircasing and does not generate multiplicative noise, thus preserving boundaries and all the essential image features very well. The corresponding PDE model is solved by a robust finite-difference based iterative scheme consistent with the diffusion model. The method converges very fast to the model solution, the existence and regularity of which is rigorously proved.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.270318.260518}, url = {http://global-sci.org/intro/article_detail/eajam/12931.html} }
TY - JOUR T1 - Compound PDE-Based Additive Denoising Solution Combining an Improved Anisotropic Diffusion Model to a 2D Gaussian Filter Kernel JO - East Asian Journal on Applied Mathematics VL - 1 SP - 1 EP - 12 PY - 2019 DA - 2019/01 SN - 9 DO - http://doi.org/10.4208/eajam.270318.260518 UR - https://global-sci.org/intro/article_detail/eajam/12931.html KW - Image restoration, nonlinear anisotropic, diffusion, qualitative properties of solutions, boundary value problems for nonlinear parabolic PDE, Leray-Schauder principle. AB -

A second-order nonlinear anisotropic diffusion-based model for Gaussian additive noise removal is proposed. The method is based on a properly constructed edge-stopping function and provides an efficient detail-preserving denoising. It removes additive noise, overcomes blurring effect, reduces the image staircasing and does not generate multiplicative noise, thus preserving boundaries and all the essential image features very well. The corresponding PDE model is solved by a robust finite-difference based iterative scheme consistent with the diffusion model. The method converges very fast to the model solution, the existence and regularity of which is rigorously proved.

Tudor Barbu & C. Moroşanu. (2020). Compound PDE-Based Additive Denoising Solution Combining an Improved Anisotropic Diffusion Model to a 2D Gaussian Filter Kernel. East Asian Journal on Applied Mathematics. 9 (1). 1-12. doi:10.4208/eajam.270318.260518
Copy to clipboard
The citation has been copied to your clipboard