Optimal Wavelet Filters Selection for Ultrasound and Mammography Compression

  • Volodymyr Ponomaryov
  • Jose Luis. Sanchez-Ramirez
  • Cristina Juarez-Landin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5197)


The analysis of different Wavelets also including novel Wavelets families based on atomic functions are presented, especially for Ultrasound (US) and Mammography (MG) images compression. This way we have been able to determine what type of filters Wavelet works better in compression of such images. Key properties: Frequency response, Approximation Order, Projection cosine, and Riesz bounds were 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), fup 2 (t), and eup(t). The comparison results show significantly better performance of novel Wavelets that is justified by experiments and in study of key properties.


Wavelet Transform Compression Atomic Functions Ultrasound images Mammography images 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Volodymyr Ponomaryov
    • 1
  • Jose Luis. Sanchez-Ramirez
    • 1
  • Cristina Juarez-Landin
    • 1
  1. 1.National Polytechnic Institute of MexicoMexico, D.F.Mexico

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