Anisotropic diffusion with monotonic edge-sharpening

Wenhua Ma, Yu Li You, Mostafa Kaveh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations


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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE-IS and T Electronic Imaging - Image Processing
Subtitle of host publicationAlgorithms and Systems VIII
StatePublished - 2010
EventImage Processing: Algorithms and Systems VIII - San Jose, CA, United States
Duration: Jan 19 2010Jan 20 2010

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X


ConferenceImage Processing: Algorithms and Systems VIII
Country/TerritoryUnited States
CitySan Jose, CA


  • Anisotropic diffusion
  • Denoising
  • Diffusivity
  • Edge sharpening
  • I mage enhancement


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