Anisotropic diffusion for image denoising based on diffusion tensors

Feng Liu, Jingbo Liu

Research output: Contribution to journalArticlepeer-review


In this paper, the anisotropic diffusion for image denoising is considered. A new method to construct diffusion tensors is proposed. The tensors obtained by our approach depend on four directional derivatives of the intensity of an image, and hence they are adaptively determined by local image structure. It is shown that the proposed diffusion filter is isotropic in the interior of a region, whereas it is anisotropic at edges. This property of tensors allows us to efficiently remove noise in an image, particularly noise at edges. Several numerical experiments are conducted on both synthetic and real images.

Original languageEnglish (US)
Pages (from-to)516-521
Number of pages6
JournalJournal of Visual Communication and Image Representation
Issue number3
StatePublished - Apr 2012
Externally publishedYes


  • Anisotropic diffusion
  • Diffusion amount
  • Diffusion direction
  • Diffusion filter
  • Diffusion tensor
  • Image denoising
  • Multi-scale method
  • Nonlinear diffusion

ASJC Scopus subject areas

  • Signal Processing
  • Media Technology
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering


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