Analysis and design of anisotropic diffusion for image processing

Yu Li You, M. Kaveh, Wen Yuan Xu, A. Tannenbaum

Research output: Contribution to journalConference articlepeer-review

27 Scopus citations


Anisotropic diffusion is posed as a process of minimizing an energy function. Its global convergence behavior is determined by the shape of the energy surface, and its local behavior is described by an orthogonal decomposition with the decomposition coefficients being the eigenvalues of the local energy function. A sufficient condition for its convergence to a global minimum is given and is identified to be the same as the condition previously proposed for the well-posedness of 1-D diffusions. Some behavior conjectures are made for anisotropic diffusions not satisfying the sufficient condition. Finally, some well-behaved anisotropic diffusions are proposed and simulation results are shown.

Original languageEnglish (US)
Article number413620
Pages (from-to)497-501
Number of pages5
JournalProceedings - International Conference on Image Processing, ICIP
StatePublished - 1994
EventThe 1994 1st IEEE International Conference on Image Processing - Austin, TX, USA
Duration: Nov 13 1994Nov 16 1994

Bibliographical note

Publisher Copyright:
© 1994 IEEE.


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