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Robust anisotropic diffusion
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DOI：10.1109/83.661192.png)
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摘要
En 中文
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 an 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 the line processes allows us to develop new anisotropic diffusion equations that result in a qualitative improvement in the continuity of edges.
Keyword:
anisotropic diffusion
line processes
robust statistics
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期刊
IF:
13.7
论文数:
1.1W
被引数:
8.4W
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