Fuzzy based diffusion coefficient function in anisotropic diffusion for impulse noise removal

  • Authors:

  • Nafis uddin Khan;K. V. Arya;Manisha Pattanaik

  • Affiliations:

  • ABV-Indian Institute of Information Technology and Management, Gwalior, India;ABV-Indian Institute of Information Technology and Management, Gwalior, India;ABV-Indian Institute of Information Technology and Management, Gwalior, India

  • Venue:
  • Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
  • Year:
  • 2012

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Abstract

This paper provides the use of rule based fuzzy scheme to define a new diffusion coefficient function in anisotropic diffusion for impulse noise removal with edge preservation. This is achieved by expressing the small, medium and large labels of second order pixel differences in fuzzy format. An aggregated output membership function of percentage of noisiness is then obtained by selecting an optimal linguistic value of second order pixel difference during inference process. The pixels have been classified as homogeneous, edge and noisy pixels based on the degrees of noisiness of the output membership functions. To achieve desired smoothing of the impulse noisy images with homogeneous background, the new diffusion coefficient function in anisotropic diffusion is redefined to vary it in accordance with the degrees of noisiness of the output membership functions. The experimental results have been compared with existing anisotropic diffusion methods as well as advanced median filtering method. It is observed through experimental results that the proposed method works satisfactorily for images having impulsive noise density upto 50%.