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- W2135857721 abstract "Relations between anisotropic diffusion and robust statistics are described. We show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The edge-stopping function in the anisotropic diffusion equation is closely related to the error norm and influence function in the robust estimation framework. This connection leads to a new edge-stopping function based on Tukey's biweight robust estimator, that preserves sharper boundaries than previous formulations and improves the automatic stopping of the diffusion. The robust statistical interpretation also provides a means for detecting the boundaries (edges) between the piecewise smooth regions in the image. We extend the framework to vector-valued images and show applications to robust image sharpening." @default.
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- W2135857721 date "2002-11-23" @default.
- W2135857721 modified "2023-09-26" @default.
- W2135857721 title "Robust anisotropic diffusion and sharpening of scalar and vector images" @default.
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- W2135857721 doi "https://doi.org/10.1109/icip.1997.647755" @default.
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