Work

A Time‐Fractional Equation With the Gray Level Indicator for Image Multiplicative Noise Removal

Year: 2025

Type: article

Abstract: ABSTRACT Synthetic aperture radar (SAR) images suffer from multiplicative noise, which significantly degrades their quality and visual effect. To address this issue, we propose a time‐fractional equation with a gray level indicator for SAR image denoising. By introducing the time‐fractional derivative, the model effectively interpolates between the heat and wave equations, preserving valuable information in highly oscillatory regions. Moreover, the fractional‐order derivative operator possesses nonlocal properties, allowing for the inclusion of information from nonlocal domains. In order to achieve better control over the diffusion process, we incorporate a gray level indicator into the diffusion coefficients of our model, which allows us to fully take into account the gray level information of the image. We also investigate the well‐posedness of the proposed model. Experiments on natural and real SAR images demonstrate the superiority of our method in removing multiplicative noise, particularly in highly oscillatory regions and texture‐rich images.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.11033

Authors: Wenjuan Yao, Xiangyu Bai, Jiebao Sun, Zhongxiang Zhou

Institution: Harbin Institute of Technology

Language: English

Topic: Image and Signal Denoising Methods

Subfield: Computer Vision and Pattern Recognition

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation, Natural Science Foundation of Heilongjiang Province, Fundamental Research Funds for the Central Universities

Awards: G119545328, G42876061, G5280585134, G6201146685