A study of orthonormal multi-wavelets

Applied Numerical Mathematics

Volumn 20, Issue 3, 1996, Pages 273-298

  Chui, Charles K ^a   Lian, Jian Ao ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b PRAIRIE VIEW A AND M UNIVERSITY   (United States)

Author keywords

Compactly supported functions; Multi scaling functions; Multi wavelets; Symmetric and antisymmetric functions; Two scale symbols

Indexed keywords

FRACTALS; FUNCTIONS; INTERPOLATION; POLYNOMIALS;

HERMITE INTERPOLATION; MULTISCALING FUNCTIONS; ORTHONORMAL MULTIWAVELETS; TWO SCALE SYMBOLS;

WAVELET TRANSFORMS;

EID: 0030103777     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(95)00111-5     Document Type: Article

References (14)

1. C.K. Chui, An Introduction to Wavelets (Academic Press, Boston, 1992).
2. C.K. Chui and J.R. Wang, Orthonormal wavelets with the same support and multiplicity r to increase the number of vanishing moments r-fold, in: Abstract Book, Texas Approx. Theory Conference VIII (1995).
3. C.K. Chui and J.Z. Wang, On compactly supported spline wavelets and a duality principle, Trans. Amer. Math. Soc. 330 (1992) 903-916.
4. I. Daubechies, Orthonormal basis of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988) 909-996.
5. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Math. 61 (SIAM, Philadelphia, PA, 1992).
6. J.S. Geronimo, D.P. Hardin and P.R. Massopust, Fractal functions and wavelet expansions based on several scaling functions, J. Approx. Theory 78 (1994) 373-401.
7. T.N.T. Goodman, Interpolatory Hermite spline wavelets, J. Approx. Theory 78 (1994) 174-189.
8. T.N.T. Goodman and S.L. Lee, Wavelets of multiplicity r, Trans. Amer. Math. Soc. 342 (1994) 307-324.
9. T.N.T. Goodman. S.L. Lee and W.S. Tang, Wavelets in wandering subspaces, Trans. Amer. Math. Soc. 338 (1993) 639-654.
10. W. Lawton, S.L. Lee and Z. Shen, An algorithm for matrix extension and wavelet construction, Preprint.
11. J.A. Lian, Characterization of the order of polynomial-reproduction for multi-scaling functions, in: C.K. Chui and L.L. Schumaker, eds., Approx. Theory VIII (World Sci. Publ., Singapore, 1995) 251-258.
12. P.R. Massopust, D.K. Ruch and P.J. Van Fleet, On the support properties of scaling vectors, CAT Report No. 335, Texas A&M University (1994).
13. G. Strang and V. Strela, Short wavelets and matrix dilation equations, Preprint.
14. G. Strang and V. Strela, Finite element multi-wavelets, Preprint.