Construction of biorthogonal wavelets starting from any two multiresolutions

IEEE Transactions on Signal Processing

Volumn 46, Issue 4, 1998, Pages 1130-1133

  Aldroubi, Akram ^a   Abry, Patrice ^b   Unser, Michael ^c  

^a VANDERBILT UNIVERSITY   (United States)

^b UNIVERSITÉ DE LYON   (France)

^c EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040478785     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.668563     Document Type: Article

References (11)

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3. A. Aldroubi, "Oblique and hierarchical multiwavelet bases," Appl. Comput. Harmon. Anal., vol. 4, no. 3, pp. 231-263, 1997.
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6. -, "Families of multiresolution and wavelet spaces with optimal properties," Numer. Fund. Anal. Optim., vol. 14, no. 5, pp. 417-446, 1993.
7. A. Cohen, I. Daubechies, and J. C. Fauveau, "Biorthogonal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. 45, pp. 485-560, 1992.
8. S. Mallat, "Multiresolution approximations and wavelet orthonormal bases of L2," Trans. Amer. Math. Soc., vol. 315, pp. 69-97, 1989.
9. W. Sweldens, The lifting scheme: A custom-design construction of biorthogonal wavelets, Appl. Comput. Harmon. Anal., vol. 3, no. 2, pp. 186-200, 1996
10. M. Unser, A. Aldroubi, and M. Eden, "Fast B-spline transforms for continuous image representation and interpolation," IEEE Trans. Pattern Anal. Machine Intell, vol. 13, pp. 277-285, 1991.
11. M. Unser and A. Aldroubi, "A general sampling theory for nonideal acquisition devices," IEEE Trans. Signal Processing, vol. 42, pp. 2915-2925, Nov. 1994.