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Title: Fuzzy transforms in image compression and fusion (English)
Author: Perfilieva, Irina
Language: English
Journal: Acta Mathematica Universitatis Ostraviensis
ISSN: 1214-8148
Volume: 15
Issue: 1
Year: 2007
Pages: 27-37
Summary lang: English
Category: math
Summary: An overview of direct and inverse fuzzy transforms of three types is given and applications to data processing are considered. The construction and some important properties of fuzzy transforms are presented on the theoretical level. Three applications of $F$-transform to data processing have been chosen: compressional and reconstruction of data, removing noise and data fusion. All of them successively exploit the filtering property of the inverse fuzzy transform. (English)
Keyword: fuzzy transform
Keyword: fuzzy partition
Keyword: compression
Keyword: fusion
MSC: 15A04
MSC: 44A15
MSC: 46F12
MSC: 68U10
MSC: 94A08
MSC: 94A12
idZBL: Zbl 1198.94033
idMR: MR2418780
Date available: 2009-12-29T09:22:41Z
Last updated: 2015-03-15
Stable URL:
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Reference: [7] I. Perfilieva: Fuzzy Transforms: Theory and Applications.Fuzzy Sets and Systems, 157 2006, 993-1023. Zbl 1092.41022, MR 2218243, 10.1016/j.fss.2005.11.012
Reference: [8] I. Perfilieva: Fuzzy Transforms and Their Applications to Image Compression.In: Fuzzy Logic and Applications (I. Bloch, A. Petrosino, A. Tettamanzi, Eds.), LNAI 3849, 6th Int. Workshop WILF 2005, Crema, Italy, 2005, pp. 19-31. Zbl 1168.68383
Reference: [9] M. Štěpnička, R. Valášek: Fuzzy Transforms for Functions with Two Variables.In: Methods for Decision Support in Environment with Uncertainty - Applications in Economics, Business and Engineering (J. Ramík and V. Novák, Eds.), University of Ostrava, IRAFM, 2003, pp. 96-102.


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