Victor Filippovich
Kravchenko Vladimir Il'ich
Ponomarev J. L.
Sanchez-Ramirez ABSTRACT In this paper, the analysis of different Wavelets also including new Wavelets families based on atomic functions are presented, especially for Ultrasound (US) and Mammography (MG) image compression. This way we are able to determine what type of filters Wavelet works better for a specialized compression scheme for this type of images. Key properties: Frequency response, Approximation Order, Projection cosine, and Riesz bounds are determined and compared for the classic Wavelets W9/7 used in standard JPEG2000, Daubechies8, Symlet8, as well as for the complex Kravchenko-Rvachev wavelets ψ(t) based on the Atomic Functions up(t), fup2(t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in the investigations of the Key properties.
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