@Article{EAJAM-11-4, author = {Xu, Maoyuan and Xie, Xiaoping}, title = {An Efficient Feature-Preserving Image Denoising Algorithm Based on a Spatial-Fractional Anisotropic Diffusion Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {4}, pages = {788--807}, abstract = {

An efficient feature-preserving fractional image denoising algorithm based on a nonlinear spatial-fractional anisotropic diffusion equation is proposed. Two-sided Grünwald-Letnikov fractional derivatives used in the PDE model are suitable to depict the local self-similarity of images. The short memory principle is employed to simplify the approximation scheme. Experimental results show that the method has an extremely high structural retention property and keeps a remarkable balance between noise removal and feature preserving.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.081220.270421}, url = {https://global-sci.com/article/82537/an-efficient-feature-preserving-image-denoising-algorithm-based-on-a-spatial-fractional-anisotropic-diffusion-equation} }