Design of Compactly Supported Nonseparable Orthogonal Wavelet with Arbitrary Dilation in L2(Rd)

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Abstract:

In this paper, we present a method for the construction of nonseparable and compactly supported orthogonal wavelet bases in ,and orthogonal wavelet bases with this method are nonseparable . The orthogonal wavelets are associated with arbitrary dilation matrix, where is the identity matrix of order and is the arbitrary integer.

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Advanced Materials Research (Volumes 694-697)

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2926-2930

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May 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] E. Blogay ,Y. Wang, Arbitrarily smooth orthogonal nonseparable wavelets in , SIAM J. Math. Anal. 30(1999)678-697.

DOI: 10.1137/s0036141097327732

Google Scholar

[2] I. Daubechies, Ten lecture on wavelets, SIAM, Philadelphia, PA, 1992.

Google Scholar

[3] W. He and M. J. Lai, Examples of bivariate nonseparable compactly supported orthonormal continous wavelets ,IEEE Trans.Image Processing. 9(2000) 949-953.

DOI: 10.1109/83.841541

Google Scholar

[4] Y. Z. Li, On the construction of a class of bidimensional nonseparable compactly supported wavelets, Proc. Amer. Math. Soc.133(2005) 3505-3513.

DOI: 10.1090/s0002-9939-05-07911-6

Google Scholar

[5] R. L. Long, High dimensional wavelet analysis,World book publishing corporation, Beijing, China, 1995.

Google Scholar

[6] A. Karoui, A note on the construction of nonseparable wavelet bases and multiwavelet matrix filters of , where , Electron. Res. Announc. Amer. Math. Soc. 9(2003) 32-39.

DOI: 10.1090/s1079-6762-03-00109-4

Google Scholar

[7] A. Karoui, A technique for the construction of compactly supported biorthogonal wavelets of ,, J. Math. Anal. Appl. 249 (2000) 367-392.

DOI: 10.1006/jmaa.2000.6867

Google Scholar

[8] A. Karoui, A general construction of nonseparable multivariate orthonormal wavelet bases, Cent. Eur. J. Math. 6 (2008) 504-525.

DOI: 10.2478/s11533-008-0052-6

Google Scholar