Monotonically edge-sharpening anisotropic diffusion

Wenhua Ma; Yu-Li You; Mostafa Kaveh

doi:10.1117/1.JEI.21.1.013008

8 March 2012 Monotonically edge-sharpening anisotropic diffusion

Wenhua Ma, Yu-Li You, Mostafa Kaveh

Author Affiliations +

Journal of Electronic Imaging, Vol. 21, Issue 1, 013008 (March 2012). https://doi.org/10.1117/1.JEI.21.1.013008

Abstract

Anisotropic diffusions are classified by the second eigenvalue of the Hessian matrix associated with the diffusivity function into two categories: one incapable of edge-sharpening and the other capable of selective edge-sharpening. A third class is proposed: the eigenvalue starts with a small value and decreases monotonically with image gradient magnitude, so that the stronger the edge is, the more it is sharpened. Two families of such diffusivity functions are proposed. Numerical simulations indicate that the noise removal performance of anisotropic diffusion does not correlate with the shape of the diffusivity function, but is, instead, determined by the shape of the second eigenvalue function. Diffusivity functions in the third category produce the best maximum peak signal-to-noise ratio in numerical simulations.

Citation Download Citation

Wenhua Ma, Yu-Li You, and Mostafa Kaveh "Monotonically edge-sharpening anisotropic diffusion," Journal of Electronic Imaging 21(1), 013008 (8 March 2012). https://doi.org/10.1117/1.JEI.21.1.013008

Published: 8 March 2012

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