Wavelet analysis of refinement equations
SIAM Journal on Mathematical Analysis
Wavelets and subband coding
Practical Handbook on Image Processing for Scientific and Technical Applications, Second Edition
Practical Handbook on Image Processing for Scientific and Technical Applications, Second Edition
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The analysis of different Wavelets also including novel Waveletsfamilies based on atomic functions are presented, especially forUltrasound (US) and Mammography (MG) images compression. This waywe have been able to determine what type of filters Wavelet worksbetter in compression of such images. Key properties: Frequencyresponse, Approximation Order, Projection cosine, and Riesz boundswere determined and compared for the classic Wavelets W9/7 used instandard JPEG2000, Daubechies8, Symlet8, as well as for the complexKravchenko---Rvachev wavelets ψ(t) based on the AtomicFunctions up(t), fup2(t),and eup(t). The comparison results show significantlybetter performance of novel Wavelets that is justified byexperiments and in study of key properties.