Title :
Fuzzy convolution as a nonlinear digital filter
Author :
Lee, Keon-Myung ; Favrel, Joël ; Lee-Kwang, Hyung ; Kim, Chang-Bum
Author_Institution :
Inst. Nat. des Sci. Appliques, Lyon, France
Abstract :
Convolution is a representative operation in linear filters. Convolution carries out its operations by linear combination. The paper discusses a method to extend convolution so that it has nonlinearlity in the platform of convolution operation. It introduces an extension method which uses fuzzy operations instead of linear combination for convolution. It also describes several types of fuzzy convolutions which play a role in nonlinear filters. In addition some properties of fuzzy convolutions are investigated
Keywords :
convolution; digital filters; fuzzy set theory; nonlinear filters; convolution operation; fuzzy convolution; fuzzy operations; linear filters; nonlinear digital filter; nonlinear filters; nonlinearlity property; representative operation; Computer science; Convolution; Digital filters; Electronic mail; Feature extraction; Filtering; Image edge detection; Image processing; Nonlinear filters; Signal processing;
Conference_Titel :
Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American
Conference_Location :
Berkeley, CA
Print_ISBN :
0-7803-3225-3
DOI :
10.1109/NAFIPS.1996.534800