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Anisotropic diffusion is an edge-preserving smoothing technique based on the heat equation. Unlike Gaussian blur which smooths everything uniformly, it adapts the diffusion rate based on local gradients — smoothing flat areas while leaving edges sharp.
Both preserve edges, but anisotropic diffusion is an iterative PDE-based method that naturally evolves over time, while bilateral filtering is a single-pass weighted average. Anisotropic diffusion often produces more natural-looking results for denoising.