Anisotropic Diffusion Equation with Application to Scale-Space Image Smoothing in Image Processing

Perona and Malik established an anisotropic diffusion equation based on the heat conduction equation and applied it to scale-space image smoothing in image processing. This model performs distinct processing on edge and non-edge regions of images, features simple iterative solving schemes, overcomes major drawbacks of traditional filtering methods, significantly improves image quality, and pioneers new directions for image edge detection and enhancement. The implementation typically involves gradient-based diffusion coefficient calculations and iterative updates using finite difference methods.

A Classic Anisotropic Diffusion Equation Algorithm for SAR Image Speckle Noise Suppression

Implementation of a classic anisotropic diffusion equation-based algorithm for SAR image speckle noise reduction, ready for immediate use with excellent performance. The algorithm utilizes PDE-based diffusion processes with edge-preserving capabilities.