Fast spatial combinative lifting algorithm of wavelet transform using the 9/7 filter for image block compression

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Fast spatial combinative lifting algorithm of wavelet transform using the 9/7 filter for image block compression

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A new fast spatial combinative lifting algorithm (SCLA) of the wavelet transform using the 9/7 filter for image block compression is proposed. In comparison with its lifting-based implementation, the number of multiplications is reduced by a ratio of 5/12 and the speed of implementation of the wavelet transform is increased.

Inspec keywords: wavelet transforms; matrix algebra; filtering theory; data compression; image coding

Other keywords: fast spatial combinative lifting algorithm; multiplications reduction; image block compression; wavelet transform; 9/7 filter

Subjects: Signal processing theory; Computer vision and image processing techniques; Linear algebra (numerical analysis); Image and video coding; Linear algebra (numerical analysis); Integral transforms in numerical analysis; Integral transforms in numerical analysis; Filtering methods in signal processing

References

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      • Skodras, A.N., Christopoulos, C.A., Ebrahimi, T.: `JPEG2000: the up coming still image compression standard', Proc. 11th Portuguese Conf. Pattern Recognition (RECPA00D 20), 11 May 2000, Porto, Portugal, p. 359–366.
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      • S. Mallat . A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Patt. Anal. Mach. Intell. , 674 - 693
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      • I. Daubechies , W. Sweldens . Factoring wavelet transforms into lifting steps. J. Fourier Anal. Appl. , 3 , 247 - 269
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