Robust anisotropic diffusion

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Robust anisotropic diffusion
—Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, 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 an image that has been smoothed with anisotropic diffusion. Additionally, we derive a relationship between anisotropic diffusion and regularization with line processes. Adding constraints on the spatial organization of t...
Michael J. Black, Guillermo Sapiro, David H. Marim
Added 23 Dec 2010
Updated 23 Dec 2010
Type Journal
Year 1998
Where TIP
Authors Michael J. Black, Guillermo Sapiro, David H. Marimont, David Heeger
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