Fuzzy Relational Calculus based Component Analysis Methods and their Application to Image Processing

  • 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

Abstract

Two component analysis methods based on the fuzzy relational calculus are proposed in the setting of the ordered structure. First component analysis is based on a decomposition of fuzzy relation into fuzzy bases, using gradient method. Second one is a component analysis based on the eigen fuzzy sets of fuzzy relation. Through experiments using the test images extracted from SIDBA and View Sphere Database, the effectiveness of the proposed component analysis methods is confirmed. Furthermore, improvements of the image compression/reconstruction and image retrieval based on ordered structure are also indicated.

Keywords