Representation of digital image by fuzzy neural network

  • Authors:
  • Puyin Liu

  • Affiliations:
  • Department of Mathematics, Beijing Normal University, Beijing 100875, China and Department of Mathematics, National University of Defence Technology, Changsha, Hunan 410073, China

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2002

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Abstract

A multilayer feedforward fuzzy neural network(FNN), by which the predetermined fuzzy system can be realized is constructed to express a given two-dimensional (2-D) digital image. It is shown that such a network is universal approximator. The FNN approach provides us with the representation model of the 2-D discrete image. In noise environment some given fuzzy numbers are employed to describe gray levels of a digital image and the deviation of corrupted image to its noise-free one. A class of fuzzy rules for removing impulse noise in degraded image are presented. The corresponding FNN may work as a filter, which improves the performances of median and rank-conditioned rank selection filters. Especially, such a filter may to a greatest extent maintain the fine structure of the image. Under the minimum mean absolute error criterion the membership functions of fuzzy numbers are adaptively adjusted, and an optimal FNN for image representation is derived in noise environment. Simultaneously some real image examples are systemically analyzed to show that the FNN may result in higher quality global restoration.