Color image reduction by minimizing penalty functions

IEEE International Conference on Fuzzy Systems

Volumn , Issue , 2012, Pages

  Paternain, Daniel ^a   Jurio, Aranzazu ^a   Beliakov, Gleb ^b  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

^b DEAKIN UNIVERSITY   (Australia)

Author keywords

Image reduction; Penalty function; Product lattice

Indexed keywords

AGGREGATION FUNCTIONS; ARITHMETIC MEAN; CARTESIAN PRODUCTS; COLOR IMAGES; COLOR VALUES; EXPERIMENTAL STUDIES; IMAGE REDUCTION; PENALTY FUNCTION; PRODUCT LATTICE; REDUCTION ALGORITHMS;

FUZZY SYSTEMS; IMAGE PROCESSING;

ALGORITHMS;

EID: 84867585968     PISSN: 10987584     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/FUZZ-IEEE.2012.6250794     Document Type: Conference Paper

References (25)

1. I. Perfilieva, "Fuzzy transforms: Theory and applications," Fuzzy Sets and Systems, vol. 157, pp. 993-1023, 2006.
2. H. Nobuhara, K. Hirota, S. Sessa, and W. Pedrycz, "Efficient decomposition methods of fuzzy relation and their application to image decomposition," Applied Soft Computing, vol. 5, pp. 399-408, 2005. (Pubitemid 40690975)
3. Y. Park and H. Park, "Arbitrary-ratio image resizing using fast dct of composite length for dct based transcode," IEEE Transactions on Image Processing, vol. 15, pp. 494-500, 2006. (Pubitemid 43126174)
4. F. Di Martino, V. Loia, I. Perfilieva, and S. Sessa, "An image coding/decoding method based on direct and inverse fuzzy transforms," International Journal of Approximate Reasoning, vol. 48, pp. 110-131, 2008. (Pubitemid 351324063)
5. V. Loia and S. Sessa, "Fuzzy relation equations for coding/decoding processes of images and videos," Information Sciences, vol. 171, pp. 145-172, 2005. (Pubitemid 40219893)
6. D. Paternain, C. Lopez-Molina, H. Bustince, R. Mesiar, and G. Beliakov, "Image reduction using fuzzy quantifiers," Advances in Intelligen and Soft Computing, vol. 107, pp. 351-362, 2011.
7. G. Beliakov, H. Bustince, and D. Paternain, "Image reduction using means on discrete product lattices," IEEE Transactions on Image Processing, vol. 21, pp. 1070-1083, 2012.
8. M. Galar, J. Fernandez, G. Beliakov, and H. Bustince, "Interval-valued fuzzy sets applied to stereo matching of color images," IEEE Transactions on Image Processing, vol. 20, pp. 1949-1961, 2011.
9. B. De Baets and R. Mesiar, "Triangular norms on product lattices," Fuzzy Sets and Systems, vol. 104, pp. 61-75, 1999. (Pubitemid 129533556)
10. S. Jenei and B. De Baets, "On the direct decomposability of t-norms on product lattices," Fuzzy Sets and Systems, vol. 139, pp. 699-707, 2003.
11. G. Mayor and J. Monreal, "Additive generators of discrete conjunctive aggregation operations," IEEE Trans. on Fuzzy Systems, vol. 15, pp. 1046-1052, 2007. (Pubitemid 350268637)
12. G. Beliakov, A. Pradera, and T. Calvo, Aggregation Functions: A Guide for Practitioners. Heidelberg, Berlin, New York: Springer, 2007.
13. Y. Torra, V. Narukawa, Modeling Decisions. Information Fusion and Aggregation Operators. Berlin, Heidelberg: Springer, 2007.
14. T. Calvo, G. Mayor, and R. Mesiar, Eds., Aggregation Operators. New Trends and Applications. Heidelberg, New York: Physica-Verlag, 2002.
15. M. Grabisch, J.-L. Marichal, R. Mesiar, and E. Pap, Aggregation Functions. Cambridge: Cambridge University press, 2009.
16. H. Bustince, T. Calvo, B. De Baets, J. Fodor, R. Mesiar, J. Montero, D. Paternain, and A. Pradera, "A class of aggregations functions encompassing two-dimensional owa operators," Information Sciences, vol. 180, pp. 1977-1989, 2010.
17. C. Gini, Le Medie. Milan (Russian translation, Srednie Velichiny, Statistica, Moscow, 1970): Unione Tipografico-Editorial Torinese, 1958.
18. T. Calvo and G. Beliakov, "Aggregation functions based on penalties," Fuzzy Sets and Systems, vol. 161, pp. 1420-1436, 2010.
19. T. Calvo, R. Mesiar, and R. Yager, "Quantitative weights and aggregation," IEEE Trans. on Fuzzy Systems, vol. 12, pp. 62-69, 2004.
20. R. Yager and A. Rybalov, "Understanding the median as a fusion operator," Int. J. General Syst., vol. 26, pp. 239-263, 1997. (Pubitemid 127716987)
21. R. Mesiar, "Fuzzy set approach to the utility, preference relations, and aggregation operators," Europ. J. Oper. Res., vol. 176, pp. 414-422, 2007. (Pubitemid 44442697)
22. H. Bustince, E. Barrenechea, and M. Pagola, "Restricted equivalence functions," Fuzzy Sets and Systems, vol. 157, pp. 2333-2346, 2006. (Pubitemid 44107519)
23. H. Bustinces, E. Barrenechea, and M. Pagola, "Relationship between restricted dissimilarity functions, restricted equivalence functions and normal e-n-functions: Image thresholding invariant," Pattern Recognition Letters, vol. 29, pp. 525-536, 2008.
24. D. Martin, C. Fowlkes, D. Tal, and J. Malik, "A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics," in Proc. 8th Int'l Conf. Computer Vision, vol. 2, July 2001, pp. 416-423. (Pubitemid 32795086)
25. A. Jurio, M. Pagola, R. Mesiar, G. Beliakov, and H. Bustince, "Image magnification using interval information," IEEE Transactions on Image Processing, vol. 20, pp. 3112-3123, 2011.