Abstract
Image similarity is an important topic in the field of image processing. The goal is to obtain objective measures that express the similarity between two images in a way that matches human evaluation. Such measures have both theoretical and practical applications. In this paper, we show how similarity measures for fuzzy sets have been modified in order to be applied in image processing. We also discuss a new application of these measures in the context of color image retrieval, indicating the potential of this class of similarity measures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Beliakov, G.: Definition of general aggregation operators through similarity relations. Fuzzy Sets and Systems 114, 437–453 (2000)
Brunelli, R., Mich, O.: Histograms analysis for image retrieval. Pattern Recognition 34, 1625–1637 (2001)
Chamorro-Martínez, J., Medina, J.M., Barranco, C., Galán-Perales, E., Soto-Hidalgo, J.M.: An approach to image retrieval on fuzzy object-relational database using dominant color descriptors. In: Proceedings of the 4th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT, pp. 676–684 (2005)
Chang, S.: Content-based indexing and retrieval of visual information. IEEE Signal Processing Magazine 14/4, 45–48 (1997)
Chen, S.M.: Measures of similarity between vague sets. Fuzzy Sets and Systems 74, 217–223 (1995)
De Cock, M., Kerre, E.E.: On (un)suitable fuzzy relations to model approximate equality. Fuzzy Sets and Systems 133/2, 137–153 (2003)
Del Bimbo, A.: Visual Information Retrieval. Morgan Kaufmann Publishers, San Francisco (2001)
Dubois, D., Prade, H. (eds.): Fundamentals of Fuzzy Sets. Kluwer Academic Publishers, Dordrecht (2000)
Fuller, R.: On product-sum of triangular fuzzy numbers. Fuzzy Sets and Systems 41/1, 83–87 (1991)
Lu, G., Phillips, J.: Using perceptually weighted histograms for colour-based image retrieval. In: Proceedings of the 4th International Conference on Signal Processing, pp. 1150–1153 (1998)
Omhover, J.F., Detyniecki, M., Rifqi, M., Bouchon-Meunier, B.: Ranking invariance between fuzzy similarity measures applied to image retrieval. In: Proceedings of the 2004 IEEE International Conference on Fuzzy Systems, pp. 1367–1372. IEEE, Los Alamitos (2004)
Sharma, G.: Digital Color Imaging Handbook. CRC Press, Boca Raton (2003)
Smeulders, A.W.M., Worring, M., Santini, S., Gupta, A., Jain, R.: Content-based image retrieval at the end of the early years. IEEE Transactions on Pattern Analysis and Machine Intelligence 22/12, 1349–1379 (2000)
Stanchev, P.: Using image mining for image retrieval. In: Proceedings of the IASTED International Conference on Computer Science and Technology, pp. 214–218 (2003)
Stanchev, P., Green, D., Dimitrov, B.: High level color similarity retrieval. International Journal of Information Theories & Applications 10/3, 283–287 (2003)
Tolt, G., Kalaykov, I.: Fuzzy-similarity-based noise cancellation for real-time image processing. In: Proceedings of the 10th FUZZ-IEEE Conference, pp. 15–18. IEEE Computer Society Press, Los Alamitos (2001)
Tolt, G., Kalaykov, I.: Real-time image noise cancellation based on fuzzy similarity. In: Nachtegael, M., Van der Weken, D., Van De Ville, D., Kerre, E.E. (eds.) Fuzzy Filters for Image Processing, pp. 54–71. Springer, Heidelberg (2002)
Van der Weken, D., Nachtegael, M., Kerre, E.E.: The applicability of similarity measures in image processing. Intellectual Systems 6, 231–248 (2001) (in Russian)
Van der Weken, D., Nachtegael, M., Kerre, E.E.: An overview of similarity measures for images. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 3317–3320. IEEE, Los Alamitos (2002)
Van der Weken, D., Nachtegael, M., Kerre, E.E.: Using Similarity Measures for Histogram Comparison. In: De Baets, B., Kaynak, O., Bilgiç, T. (eds.) IFSA 2003. LNCS, vol. 2715, pp. 396–403. Springer, Heidelberg (2003)
Van der Weken, D., Nachtegael, M., Kerre, E.E.: Using Similarity Measures and Homogeneity for the Comparison of Images. Image and Vision Computing 22/9, 695–702 (2004)
Zadeh, L.: Fuzzy Sets. Information Control 8, 338–353 (1965)
Zadeh, L.: Similarity Relations and Fuzzy Orderings. Information Sciences 3, 177–200 (1971)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Nachtegael, M., Schulte, S., De Witte, V., Mélange, T., Kerre, E.E. (2007). Image Similarity – From Fuzzy Sets to Color Image Applications. In: Qiu, G., Leung, C., Xue, X., Laurini, R. (eds) Advances in Visual Information Systems. VISUAL 2007. Lecture Notes in Computer Science, vol 4781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76414-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-540-76414-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-76413-7
Online ISBN: 978-3-540-76414-4
eBook Packages: Computer ScienceComputer Science (R0)