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 - <p style="text-align: justify;">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.</p>