Geodesic
Fuzzy transforms in image compression and fusion
Communications in Mathematics, Tome 15 (2007) no. 1, pp. 27-37.

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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.
Classification : 15A04, 44A15, 46F12, 68U10, 94A08, 94A12
Keywords: fuzzy transform; fuzzy partition; compression; fusion 
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Perfilieva, Irina. Fuzzy transforms in image compression and fusion. Communications in Mathematics, Tome 15 (2007) no. 1, pp. 27-37. http://geodesic.mathdoc.fr/item/COMIM_2007__15_1_a4/