New method for calculating lifting coefficients of biorthogonal wavelet

Zhejiang Daxue Xuebao (Gongxue Ban)/Journal of Zhejiang University (Engineering Science)

Volumn 38, Issue 12, 2004, Pages 1665-1668

  Gao, Guang Chun ^a   Yao, Qing Dong ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Biorthogonal wavelet; Image compression; Lifting scheme

Indexed keywords

CALCULATIONS; FOURIER TRANSFORMS; IMAGE COMPRESSION; NONLINEAR FILTERING;

BIORTHOGONAL WAVELET; CONSTRUCTION METHODS; LIFTING COEFFICIENTS; LIFTING SCHEME; POLYPHASE REPRESENTATION; SCALE FACTORS; SIMULTANEOUS EQUATIONS;

WAVELET TRANSFORMS;

EID: 13644281401     PISSN: 1008973X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. SWELDENS W. The lifting scheme: A new philosophy in biorthogonal wavelet constructions [A]. Proceedings of SPIE on Wavelet Applications in Signal and Image Processing 111 [C]. San Diego: SPIE, 1995: 68-79.
2. SWELDENS W. The lifting scheme: A construction of second generation wavelets [J]. SIAM Journal Mathematical Analysis, 1997, 29(2): 511-546.
3. SWELDENS W, SHROEDER P. Building your own wavelets at home [R]. Columbia: University of South Carolina, 1995.
4. LI Hong-gang, WU Le-nan. Design of lifting scheme of arbitrary wavelets [I]. Journal of Southeast University: Natural Science Edition, 2001, 31(4): 22-26.
5. ZENG Jian-fen, MA Zheng-ming. Lifting scheme and JPEG2000 [J]. Acta Scientiarum Naturalium University Sunyatseni, 2002, 41(1): 32-34.
6. ZENG Jian-fen, MA Zheng-ming. Lifting scheme: prediction by polynomial fitting [J]. Journal of Circuits and Systems, 2001, 6(3): 62-67.
7. QU Wen-tai, ZHU Jing. Two key technologies for image wavelet transform: The regularity of filters and the process of signal boundary[J]. Journal of Zhejiang University: Engineering Science, 2003, 37(2): 185-190.
8. DAUBECHIES I, SWELDENS W. Factoring wavelet transforms into lifting steps [J]. Journal of Fourier Analysis and Application, 1998, 4(3): 245-267.
9. CLAYPOOLE R, DAVIS G, SWELDE W, et al. Nonlinear wavelet transforms for image coding [A]. In Proceedings of the 31st Asilomar Conference on Signals, Systems and Computers [C]. Pacific Grove: [s. n.], 1997: 662-667.
10. CLAYPOOLE R L, BARANIUK R G, NOWAK R D. Adaptive wavelet transforms via lifting [R]. Houston. Texas: Department of Electrical and Computer Engineering, 1999.
11. PIELLA G H, HEIJMANS J A M. Adaptive lifting schemes with perfect reconstruction [R]. Amsterdam, Netherlands: National Research Institute for Mathematics and Computer Science (CWI), 2001.