Fuzzy relation equations for compression/decompression processes of colour images in the RGB and YUV colour spaces

Fuzzy Optimization and Decision Making

Volumn 4, Issue 3, 2005, Pages 235-246

  Nobuhara, H ^a   Hirota, K ^a   Di Martino, F ^b   Pedrycz, W ^c   Sessa, S ^b  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Fuzzy relation equation; Lukasiewicz t norm; PSNR; RGB space; RMSE; YUV space

Indexed keywords

DATA COMPRESSION; EQUATIONS OF MOTION; ERRORS; IMAGE RECONSTRUCTION; MEMBERSHIP FUNCTIONS; SIGNAL TO NOISE RATIO;

PEAK SIGNAL TO NOISE RATIO (PSNR); RGB SPACE; ROOT MEAN SQUARE ERROR (RMSE); YUV SPACE;

FUZZY SETS;

EID: 24144447063     PISSN: 15684539     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10700-005-1892-1     Document Type: Article

References (7)

1. Di Martino, F., V. Loia, and S. Sessa (2003a). "A Method in the Compression/Decompression of Images by Using Fuzzy Equations and Fuzzy Similarities," Proceedings of Conference IFSA 2003 (Istanbul, Turkey, 29/6-2/7/2003), pp. 524-527.
2. Di Martino, F., V. Loia, and S. Sessa (2003b). "A Method for Coding/Decoding Images by Using Fuzzy Relation Equations," Proceedings of Conference IFSA 2003 (Istanbul, Turkey, 29/6-2/7/2003), Lecture Notes in Artificial Intelligence, Vol. 2715, Berlin: Springer, pp. 436-441.
3. Di Nola, A. et al. (1989). Fuzzy Relations Equations and Its Applications to Knowledge Engineering, Dordrecht: Kluwer Academic Publications.
4. Klement, E. P., R. Mesiar, and E. Pap (2000). Triangular Norms, Dordrecht: Kluwer Academic Publications
5. Loia, V., W. Pedrycz, and S. Sessa (2002). "Fuzzy Relation Calculus in the Compression and Decompression of Fuzzy Relations," International Journal of Image and Graphics 2(4), 617-631.
6. Nobuhara, H., K. Hirota, and W. Pedrycz (2000). "Fast Solving Method of Fuzzy Relational Equations and Its Application to Lossy Image Compression," IEEE Transactions of Fuzzy Systems 8(3), 325-334.
7. Nobuhara, H., K. Hirota, and W. Pedrycz (2005). "Relational Image Compression: Optimizations through the Design of Fuzzy Coders and YUV Colour Space," Soft Computing, 9, 471-479.