Anisotropic diffusion with monotonic edge-sharpening

Wenhua Ma; Yu-Li You; Mostafa Kaveh

doi:10.1117/12.840113

8 February 2010 Anisotropic diffusion with monotonic edge-sharpening

Wenhua Ma, Yu-Li You, Mostafa Kaveh

Proceedings Volume 7532, Image Processing: Algorithms and Systems VIII; 753211 (2010) https://doi.org/10.1117/12.840113
Event: IS&T/SPIE Electronic Imaging, 2010, San Jose, California, United States

Abstract

Through its evolution with time, anisotropic diffusion provides multi-scale edge-sensitive smoothing of noisy images. Depending on the type of equation used, such a procedure may also have the ability to sharpen the edges. This paper characterizes the edge-sharpening abilities of a well-known diffusion equation based on the characteristics of the second eigenvalue of the Hessian of a function related to the diffusivity function. It then proposes a new way of diffusivity function design based on the natural requirement of the degree of edge sharpening monotonically related to the strength of edges. A comparative example based on the Structural Similarity Index (SSIM) is also presented.

Citation Download Citation

Wenhua Ma, Yu-Li You, and Mostafa Kaveh "Anisotropic diffusion with monotonic edge-sharpening", Proc. SPIE 7532, Image Processing: Algorithms and Systems VIII, 753211 (8 February 2010); https://doi.org/10.1117/12.840113

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