The lifting scheme: a construction of second generation wavelets
SIAM Journal on Mathematical Analysis
High performance scalable image compression with EBCOT
IEEE Transactions on Image Processing
Mathematical properties of the JPEG2000 wavelet filters
IEEE Transactions on Image Processing
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A new lifting scheme of 7/5 biorthogonal wavelet filter banks (BWFB) which include BT 7/5 filter banks of Brislawn and Treiber for image compression applications is presented in this paper. The functional relations between all coefficients of the 7/5 BWFB and their lifting parameters with respect to a one free lifting parameter are derived. Moreover, all coefficients of 7/5 BWFB and their lifting parameters are rational numbers, compared to CDF 9/7 filter banks of Cohen, Daubechies and Feauveau with irrational coefficients in JPEG2000 standard, 7/5 BWFB not only have advantage of easy computation but also are very suitable for VLSI hardware implementation. Finally, two 7/5 BWFB namely 7/5 BWFB-1 and 7/5 BWFB-2 are proposed. The experimental results show that the peak signal-to-noise ratio (PSNR) of the reconstructed images using 7/5 BWFB-1 and 7/5 BWFB-2 is 0.1dB less than CDF 9/7 filter banks but is higher 1.2dB than LT 5/3 filter banks of LeGall and Tabatabai within compression ratio 100:1. Therefore, the 7/5 BWFB-1 and 7/5 BWFB-2 are the ideal replacement of CDF 9/7 filter banks in the JPEG2000 standard for image compression applications.