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Robust anisotropic diffusion and sharpening of scalar and vector images

Publication ,  Journal Article
Black, M; Sapiro, G; Marimont, D; Heeger, D
Published in: IEEE International Conference on Image Processing
December 1, 1997

Relations between anisotropic diffusion and robust statistics are described in this paper. 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.

Duke Scholars

Published In

IEEE International Conference on Image Processing

Publication Date

December 1, 1997

Volume

1

Start / End Page

263 / 266
 

Citation

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Black, M., Sapiro, G., Marimont, D., & Heeger, D. (1997). Robust anisotropic diffusion and sharpening of scalar and vector images. IEEE International Conference on Image Processing, 1, 263–266.
Black, M., G. Sapiro, D. Marimont, and D. Heeger. “Robust anisotropic diffusion and sharpening of scalar and vector images.” IEEE International Conference on Image Processing 1 (December 1, 1997): 263–66.
Black M, Sapiro G, Marimont D, Heeger D. Robust anisotropic diffusion and sharpening of scalar and vector images. IEEE International Conference on Image Processing. 1997 Dec 1;1:263–6.
Black, M., et al. “Robust anisotropic diffusion and sharpening of scalar and vector images.” IEEE International Conference on Image Processing, vol. 1, Dec. 1997, pp. 263–66.
Black M, Sapiro G, Marimont D, Heeger D. Robust anisotropic diffusion and sharpening of scalar and vector images. IEEE International Conference on Image Processing. 1997 Dec 1;1:263–266.

Published In

IEEE International Conference on Image Processing

Publication Date

December 1, 1997

Volume

1

Start / End Page

263 / 266