A Simple 9/7 Wavelet Filter Based on Lifting

Huowang Chen · Computer Engineering and Science · 2003

Based on the lifting scheme and the Cohen-Daubechies-Feauveau Theorem for constructing biorthogonal wavelets, we construct a new symmetric biorthogonal 9/7 tap wavelet(LS97) .The compression performance of the LS97 wavelet is almost the same as that of the CDF97 wavelet, which is adopted by JPEG2000. Furthermore, the inverse of the LS97 wavelet can be replaced by CDF97 in image compression, and vice versa. Only two floating-point operations and 16 integer operations are required per two input samples for the LS97 wavelet transform, while 14 floating-point operations for the CDF97 wavelet. Therefore, the LS97 wavelet can reduce the computational complexity of image compression and video compression remarkably.

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