Optimal Wavelet Filters Selection for Ultrasound and Mammography Compression
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.
KeywordsWavelet Transform Compression Atomic Functions Ultrasound images Mammography images
- 2.Sanchez, J.L., Ponomaryov, V.: Wavelet Compression Applying Different Threshold Types for Ultrasound and Mammography Images. GESTS Intern. Trans. on Computer Sciences and Engineering 39(1), 15–24 (2007)Google Scholar
- 4.Jan, J.: Medical Image Processing, Reconstruction and Restoration: Concepts and Methods. Taylor & Francis/ CRC Press (2006)Google Scholar
- 7.Meyer, Y.: Ondelettes, Hermann, Paris, France (1990)Google Scholar
- 10.Ponomaryov, V., Sanchez-Ramirez, J.L., Juarez-Landin, C.: Evaluation and Optimization of the Standard JPEG2000 for Compression of Ultrasound Images. Telecommunications and Radio Engineering 65(11), 1005–1017 (2006)Google Scholar