Title :
Fuzzy Transforms and Their Applications to Data Compression
Author :
Perfilieva, Irina
Author_Institution :
Inst. for Res. & Applications of Fuzzy Modeling, Ostrava Univ.
Abstract :
The technique of the direct and inverse fuzzy (F-) transforms of three different types is introduced and approximating properties of the inverse F-transforms are described. A number of theorems establishing best approximation properties have been proved. A method of lossy image compression and reconstruction on the basis of the F-transform is presented
Keywords :
data compression; fuzzy set theory; image coding; image reconstruction; transforms; data compression; image reconstruction; inverse F-transforms; inverse fuzzy transforms; lossy image compression; Data compression; Discrete transforms; Fourier transforms; Fuzzy sets; Image coding; Image reconstruction; Integral equations; Lattices; Mathematics; Wavelet transforms;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452409
