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A new method of constructing SOM and its application in image compression

Changsha(2008)

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Abstract
A new method to construct symmetric orthogonal multiwavelets (SOM) with odd harmonic property is introduced. Parameter expressions for the matrix coefficients of the multifilter banks that generate symmetric/antisymmetric scaling functions and multiwavelets supported in [0,3] are presented, its related balanced filters are constructed. Experimental results in image coding demonstrate that balanced SOM transform can perform better than the popular scalar wavelets such as Daubechiespsila biorthogonal 9/7 wavelets.
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Key words
scalar wavelets,image coding,symmetric orthogonal multiwavelets,wavelet transforms,som transform,matrix algebra,data compression,channel bank filters,scaling functions,matrix coefficients,odd harmonic property,multifilter banks,image compression,computer science,application software,time frequency analysis,symmetric matrices,automation,sun,construction industry,harmonic analysis,multiresolution analysis
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