2007 IEEE International Conference on Image Processing - San Antonio, Texas, U.S.A. - September 16-19, 2007

Technical Program

Paper Detail

Paper:WP-L1.5
Session:Soft Computing in Image Processing: Recent Advances
Time:Wednesday, September 19, 16:10 - 16:30
Presentation: Special Session Lecture
Title: MULTICHANNEL IMAGE DECOMPOSITION BY USING PSEUDO-LINEAR HAAR WAVELETS
Authors: Barnabas Bede; University of Texas Pan American 
 Hajime Nobuhara; University of Tsukuba 
 Emil Schwab; University of Texas at El Paso 
Abstract: Recently it has been shown that in Image Processing, the usual sum and product of the reals are not the only operations that can be used. Several other operations provided by fuzzy logic perform well in this application. We continue this line of research and we study the possibility to use some pairs of pseudo-operations. We define in the present paper pseudo-linear Haar wavelets, and we perform multi-channel decomposition of images. We study some pairs of pseudo-operations determined by a continuous, strictly increasing generator instead of the classical sum and multiplication and Haar-type wavelets based on these operations. The results show us that pseudo--linear Haar wavelets can be used as an alternative of classical Haar wavelets since the perfect reconstruction property is conserved.



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