Abstract
In this paper we show how certain techniques of image processing, having different scopes, can be joined together under a common “algebraic roof”.
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References
Di Nola, A., Russo, C.: Łukasiewicz Transform and its application to compression and reconstruction of digital images. Informat. Sci. 177(6), 1481–1498 (2007)
Di Nola, A., Sessa, S., Pedrycz, W., Sanchez, E.: Fuzzy relation equations and their applications to knowledge engineering. Kluwer, Dordrecht (1989)
Goutsias, J., Heijmans, H.J.A.M.: Fundamenta Morphologicae Mathematicae. Fundamenta Informaticae 41, 1–31 (2000)
Heijmans, H.J.A.M.: Morphological Image Operators. Ac. Press, Boston (1994)
Hirota, K., Pedrycz, W.: Fuzzy relational compression. IEEE Trans. Syst. Man Cyber. – Part B 29(3), 407–415 (1999)
Matheron, G.: Random Sets and Integral Geometry. J. Wiley & Sons, N.Y (1975)
Nobuhara, H., Takama, Y., Hirota, K.: Image compression/reconstruction based on various types of fuzzy relational equations. Trans. Inst. Elec. l Eng. Japan 121-C(6), 1102–1113 (2001)
Russo, C.: Quantale Modules, with Applications to Logic and Image Processing, Ph.D. Thesis, University of Salerno, Italy (2007)
Russo, C.: Quantale Modules and their Operators, with Applications. J. Logic Comput. (to appear, 2009) doi:10.1093/logcom/exn088
Serra, J.: Image Analysis and Mathematical Morphology. Ac. Press, London (1982)
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Russo, C. (2009). A Unified Algebraic Framework for Fuzzy Image Compression and Mathematical Morphology. In: Di Gesù, V., Pal, S.K., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2009. Lecture Notes in Computer Science(), vol 5571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02282-1_26
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DOI: https://doi.org/10.1007/978-3-642-02282-1_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02281-4
Online ISBN: 978-3-642-02282-1
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