Fuzzy wavelets based color image compression/reconstruction with soft thresholding

Hajime Nobuhara*, Kaoru Hirota

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A color image compression and reconstruction method based on fuzzy wavelets is proposed, where a soft thresholding scheme can be formulated as an extension of alpha-cut of fuzzy relation. The proposed fuzzy wavelets are based on a partial fuzzification of morphological wavelets and the image compression and reconstruction process can be adjusted by fuzzy sets that correspond to soft threshold. Therefore, the proposed fuzzy wavelets are more natural interpretation of fuzzy wavelets and a human subjectivity can be applied to the image compression process, compared with the conventional fuzzy wavelets. Through an experiment using a color image extracted from Standard Image DataBAse (SIDBA), it is confirmed that the root mean square error of the reconstructed image obtained by the soft thresholding is decreased to 84.79% of that of the hard thredholding, under the condition that the compression rate is about 0.06.

Original languageEnglish
Title of host publicationSixth IASTED International Conference on Signal and Image Processing
EditorsM.H. Hamza
Pages193-198
Number of pages6
Publication statusPublished - 2004
Externally publishedYes
EventSixth IASTED International Conference on Signal and Image Processing - Honolulu, HI, United States
Duration: 23 Aug 200425 Aug 2004

Publication series

NameSixth IASTED International Conference on Signal and Image Processing

Conference

ConferenceSixth IASTED International Conference on Signal and Image Processing
Country/TerritoryUnited States
CityHonolulu, HI
Period23/08/0425/08/04

Keywords

  • Alpha-cut
  • Fuzzy relation
  • Fuzzy wavelets
  • Image compression
  • Wavelets
  • YUV Color space

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