A Coupled Fourth Order Telegraph Diffusion Framework Using Grayscale Indicators for Image Despeckling
Speckle noise severely limits the quality of images acquired from coherent imaging systems such as Synthetic Aperture Radar (SAR) and medical ultrasound. Traditional second-order PDE-based despeckling approaches, although popular, often introduce staircase artifacts and blur fine details. To overcome these limitations, we present a nonlinear, fourth-order coupled hyperbolic-parabolic PDE model that effectively reduces noise while preserving the structure. The framework consists of two evolution equations: one governing fourth-order diffusion for effective speckle reduction and smooth intensity transitions, and another refining an edge indicator to protect textures and structural features....
| Authors | Manish Kumar, Rajendra K. Ray |
|---|---|
| Primary category | eess.IV |
| Published | 26 April 2026 |
| Last updated at source | 26 April 2026 |
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