Adaptive Fuzzy Morphological Filtering of Impulse Noisein Images

  • Authors:
  • Jinsung Oh;Luis F. Chaparro

  • Affiliations:
  • DMS Lab., Samsung Electronics Co., Suwon, Korea;Department of Electrical Engineering, 348 Benedum Hall, University of Pittsburgh, Pittsburgh, PA, 15261

  • Venue:
  • Multidimensional Systems and Signal Processing
  • Year:
  • 2000

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Abstract

In this paper we first introduce a neural network implementationfor fuzzy morphological operators, and by means of a trainingmethod and differentiable equivalent representations for theoperators we then derive efficient adaptation algorithms to optimizethe structuring elements. Thus we are able to design fuzzy morphologicalfilters for processing multi-level or binary images. The convergencebehavior of basic structuring elements and its significance forother structuring elements of different shape is discussed. Besidesthe filter design, the localized structuring elements obtainedfrom the training method give a structural characterization ofthe image which is useful in many applications. The performanceof the fuzzy morphological filters in removing impulse noisein multi-level and binary images is illustrated and comparedwith existing procedures.