Daubechies wavelet construction using homotopy method

Chinese Journal of Electronics

Volumn 16, Issue 1, 2007, Pages 93-96

  Wang, Yan ^a   Liang, Dequn ^a   Wang, Baisuo ^a  

^a DALIAN MARITIME UNIVERSITY   (China)

Author keywords

Daubechies wavelet; Homotopy method; Nonlinear equations

Indexed keywords

DIGITAL FILTERS; IMAGE PROCESSING; NONLINEAR EQUATIONS; SIGNAL PROCESSING; THEOREM PROVING;

DAUBECHIES WAVELET; HOMOTOPY METHOD; VANISHING MOMENTS;

WAVELET TRANSFORMS;

EID: 33846829788     PISSN: 10224653     EISSN: 20755597     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. I. Dabechies, "Orthonormal bases of compactly supported wavelets", Commun. Pure Appl. Math., Vol.41, pp.909-996, 1998.
2. I. Daubechies, "Orthonormal bases of compactly supported wavelet II: variations on a theme", SIAM. J. Math. Anal., Vol.24, No.2, pp.499-519, 1993.
3. I. Daubechies, Ten Lectures on Wavelets, Philadelphia, PA: SIAM, 1992.
4. O. Rioul, "Simple regularity criteria for subdivision schemes", SIAM J. Math. Anal., Vol.23, No.6, pp.1544-1572, 1992.
5. J.M. Ortega et al, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, USA, 1970.
6. A. Morgan, Solving Polynomial Systems Using Homotopy for Engineering and Scientific Problems, Prentice-Hall, Inc., Englewood Cliffs, New Jersey. 1987.
7. J. Verschelde, "Homotopy homotopy methods for solving polynomial systems", Ph.D. Dissertation, Katholieke Univ. Leuven, May 1996.
8. J. Tian et al, "Vanishing moments and wavelet approximation", Tech. Rep. CML TR95 01, Computat. Math. Lab., Rice Univ., Houston, TX, Jan., 1995.