Abstract
Fuzzy transform (for short, F-Transform) is a new fuzzy image compression method that improves the quality of the images coded/decoded using fuzzy relations and provides results comparable with the ones obtained using the well known JPEG method for any compression rate. In this paper the F-transform method is described and its employability is discussed by reporting test results.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Di Martino, F., Loia, V., Sessa, S.: A Method for Coding/Decoding Images by Using Fuzzy Relation Equations. In: De Baets, B., Kaynak, O., Bilgiç, T. (eds.) IFSA 2003. LNCS (LNAI), vol. 2715, pp. 436–441. Springer, Heidelberg (2003)
Di Martino, F., Loia, V., Sessa, S.: A Method in the Compression/Decompression of Images by Using Fuzzy Equations and Fuzzy Similarities. In: Proceedings of the 10th IFSA World Congress, Istanbul, pp. 524–527 (2003)
Di Martino, F., Loia, V., Perfilieva, I., Sessa, S.: An Image Coding/Decoding Method Based on Direct and Inverse Fuzzy Transform. International Journal of Approximate Reasoning 48(1), 110–131 (2008)
Di Martino, F., Sessa, S.: Compression and Decompression Images with Discrete Fuzzy Transforms. Information Sciences 117(11), 2349–2362 (2007)
Di Martino, F., Loia, V., Sessa, S.: Direct and Inverse Fuzzy Transforms for Coding/Decoding Color Images in YUV Space. Journal of Uncertain Systems 3(1), 11–30 (2009)
Fisher, Y. (ed.): Fractal Image Compression: Theory and Applications. Springer, New York (1995)
Loia, V., Sessa, S.: Fuzzy Relation Equations for Coding/Decoding Processes of Images and Videos. Information Sciences 171, 145–172 (2005)
Nobuhara, H., Hirota, K., Pedrycz, W.: Fast Solving Method of Fuzzy Relational Equations and its Application to Lossy Image Compression. IEEE Transactions of Fuzzy Systems 8(3), 325–334 (2000)
Perfilieva, I.: Fuzzy Transforms: Theory and Applications. Fuzzy Sets and Systems 157(8), 993–1023 (2006)
Perfilieva, I., De Baets, B.: Fuzzy Transforms of Monotone Functions with Application to Image Compression. Information Sciences 180(17), 3304–3315 (2010)
The International Telegraph and Telephone Consultative Committee: Information Technology – Digital Compression and Coding of Continuous-Tone Still Images – Requirements and Guidelines, Recommendation T81 (1992), http://www.w3.org/Graphics/JPEG/itu-t81.pdf
Topiwala, P.N.: Wavelet Image and Video Compression. International Series in Engineering and Computer Science. Springer, New York (2004)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Di Martino, F., Loia, V., Perfilieva, I., Sessa, S. (2013). Fuzzy Transform for Coding/Decoding Images: A Short Description of Methods and Techniques. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-35641-4_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-35640-7
Online ISBN: 978-3-642-35641-4
eBook Packages: EngineeringEngineering (R0)