Fast Anisotropic Smoothing of Multi-Valued Images using Curvature-Preserving PDE's

By David Tschumperlé. International Journal of Computer Vision, 2006

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Graph spectral image smoothing using the heat kernel (2008, background): “Although the curvaturepreserving PDE [58] works fairly well and is able to eliminate severe noise, it has a tendency to over smooth and blur the fine details of the objects.”
Image Inpainting : Overview and Recent Advances (2014, methodology): “It was observed in [11] that Gaussian behavior inherent to the use of tensors for defining orientation and strength of the diffusion degrades the reconstruction of curved image structures such as corners.”