Image denoising of adaptive fractional operator based on Atangana-Baleanu derivatives
Summary: A fractional integral operator can preserve an image edge and texture details as a denoising filter. Recently, a newly defined fractional-order integral, Atangana-Baleanu derivatives (ABC), has been used successfully in image denoising. However, determining the appropriate order requires numerous experiments, and different image regions using the same order may cause too much smoothing or insufficient denoising. Thus, we propose an adaptive fractional integral operator based on the Atangana-Baleanu derivatives. Edge intensity, global entropy, local entropy, and local variance weights are used to construct an adaptive order function that can adapt to changes in different regions of an image. Then, we use the adaptive order function to improve the masks based on the Grumwald-Letnikov scheme (GL\(\_\)ABC) and Toufik-Atangana scheme (TA\(\_\)ABC), namely, Ada\(\_\)GL\(\_\)ABC and Ada\(\_\)TA\(\_\)ABC, respectively. Finally, multiple evaluation indicators are used to assess the proposed masks. The experimental results demonstrate that the proposed adaptive operator can better preserve texture details when denoising than other similar operators. Furthermore, the image processed by the Ada\(\_\)TA\(\_\)ABC operator has less noise and more detail, which means the proposed adaptive function has universality.
scientific article; zbMATH DE number 7363426