New biorthogonal multiwavelets for image compression

Signal Processing

Volumn 79, Issue 1, 1999, Pages 45-65

  Tan, Hwee Huat ^a   Shen, Li Xin ^a   Tham, Jo Yew ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; IMAGE ANALYSIS; OPTICAL FILTERS; WAVELET TRANSFORMS;

BIORTHOGONAL MULTIWAVELET FILTERS;

IMAGE COMPRESSION;

EID: 0033349987     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(99)00079-1     Document Type: Article

References (23)

1. Chui C.K., Lian J. A study on orthonormal multiwavelets. Appl. Numer. Math. 20:1996;273-298.
2. Dahmen W., Micchelli C.A. Biorthogonal wavelet expansions. Constr. Approx. 13(3):1997;293-328.
3. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, 1992.
4. Geronimo J.S., Hardin D.P., Massopust P.R. Fractal functions and wavelet expansions based on several scaling functions. J. Approx. Theory. 78:1994;373-401.
5. S.S. Goh, Q. Jiang, T. Xia, Construction of biorthogonal multiwavelets using the lifting scheme, Wavelets Strategic Research Programme, National University of Singapore, 1998, preprint.
6. K.M. Heal, M. Hansen, K. Richard, Maple V Learning Guide for Release 5, Springer, Berlin, 1997.
7. Hel C., Strang G., Strela V. Approximation by translates of refinable functions. Numer. Math. 73:1996;75-94.
8. Goodman T.N.T., Lee S.L. Wavelets of multiplicity. r Trans. Amer. Math. Soc. 342:1994;307-324.
9. Lebrun J., Vetterli M. Balanced multiwavelets: theory and design. IEEE Trans. Signal Process. (Special Issue on Wavelets and Filter Banks). 46(4):1998;1119-1125.
10. Mallat S. Multifrequency channel decompositions of images and wavelet models. IEEE Trans. Acoust. Speech Signal Process. 37:1989;2091-2110.
11. Shen Z. Refinable function vectors. SIAM J. Math. Anal. 29:1998;234-249.
12. Said A., Pearlman A. A new, fast and efficient image codec based on set partitioning in hierarchical trees. IEEE Trans. on Image Processing. 6(3):February 1997;240-250.
13. L.X. Shen, H.H. Tan, J.Y. Tham, Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets, Wavelets Strategic Research Programme, National University of Singapore, 1997, preprint.
14. V. Strela, A note on construction of biorthogonal multi-scaling functions, in: A. Aldroubi, E.B. Lin (Eds.), Contemporary Mathematics, AMS, 1998, pp. 149-157.
15. G. Strang, T.Q. Nguyen, Wavelets and Filter Banks, Wellesley-Cambridge Press, 1996.
16. Strela V., Heller P.N., Strang G., Topiwala P., Heil C. The application of multiwavelet filter banks to image processing. IEEE Trans. on Image Processing. 8(4):1999;548-563.
17. Tham J.Y., Ranganath S., Kassim A.K. Highly scalable wavelet-based video codec for very low bit rate environment. IEEE J. on Selected Areas in Comms. (Special Issue on Very Low Bit-rate Video Coding). 16(1):January 1998;12-27.
18. J.Y. Tham, L.X. Shen, S.L. Lee, H.H. Tan, A general approach for analysis and application of discrete multiwavelet transforms, IEEE Trans. on Signal Process., to appear.
19. J.Y. Tham, L.X. Shen, S.L. Lee, H.H. Tan, Good multifilter properties: A new tool for understanding multiwavelets, in: Proc. Conference for International Conference on Imaging, Science, Systems and Technology (CISST98), Las Vegas, USA, 1998, pp. 52-59.
20. Villasenor J., Belzer B., Liao J. Wavelet filter evaluation for image compression. IEEE Trans. on Image Process. 2:August 1995;1053-1060.
21. S. Wolfram, The Mathematica Book, 3rd edition, Cambridge University Press, 1996.
22. Xia X.G., Geronimo J.S., Hardin D.P., Suter B.W. Design of prefilters for discrete multiwavelet transform. IEEE Trans. Signal Process. 44:1996;25-35.
23. T. Xia, Q. Jiang, Optimal multifilter banks: Design, related symmetric-extension and application to image compression, IEEE Trans. on Signal Process., to appear.