Proceedings of the Korean Institute of Intelligent Systems Conference (한국지능시스템학회:학술대회논문집)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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A Concept of Fuzzy Wavelets based on Rank Operators and Alpha-Bands

  • Nobuhara, Hajime (Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology) ;
  • Hirota, Kaoru (Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology)
  • Published : 2003.09.01
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Abstract

A concept of fuzzy wavelets is proposed by a fuzzification of morphological wavelets. In the proposed fuzzy wavelets, analysis and synthesis schemes can be formulated as the operations of fuzzy relational calculus. In order to perform an efficient compression and reconstruction, an alphaband is also proposed as a soft thresholding of the wavelets. In the image compression/reconstruction experiment using test images extracted Standard Image DataBAse (SIDBA), it is confirmed that the root mean square error (RMSE) of the proposed soft thresholding is decreased to 87.3％ of the conventional hard thresholding.

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