Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Zheng-Xing Cheng"'
Publikováno v:
Chaos, Solitons & Fractals. 41:1368-1376
The notion of vector-valued wavelets associated with an orthogonal vector-valued scaling function with 3-scale is introduced. The existence of orthogonal vector-valued wavelets is discussed and a necessary and sufficient condition is presented by mea
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b942411e0c1a7c57bc365f976707ef6
https://doi.org/10.1016/j.chaos.2008.05.016
https://doi.org/10.1016/j.chaos.2008.05.016
Publikováno v:
Chaos, Solitons & Fractals. 40:2447-2456
In order to overcome classical wavelets’ shortcoming in image processing problems, people developed many producing systems, which built up wavelet family. In this paper, the notion of AB-multiresolution analysis is generalized, and the correspondin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b2fcf27a924d876a9d883f0474562e0
https://doi.org/10.1016/j.chaos.2007.10.037
https://doi.org/10.1016/j.chaos.2007.10.037
Publikováno v:
Chaos, Solitons & Fractals. 40:1574-1587
The notion of vector-valued multiresolution analysis is introduced and the concept of biorthogonal multiple vector-valued wavelets which are wavelets for vector fields, is introduced. It is proved that, like in the scalar and multiwavelet case, the e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9366d59fd59dcc4abd2dcdefe7090653
https://doi.org/10.1016/j.chaos.2007.09.037
https://doi.org/10.1016/j.chaos.2007.09.037
Autor:
Zheng-Xing Cheng, Jincang Han
Publikováno v:
Chaos, Solitons & Fractals. 40:130-137
Wavelet packets possess excellent characteristics in differentiations of space and spectrum. In this paper, The splitting trick coined by Daubechies is used to construct wavelet packets with an arbitrary dilation matrix A. Different from the classica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::46d79d0ea217158c98101ed926f9d9a7
https://doi.org/10.1016/j.chaos.2007.07.026
https://doi.org/10.1016/j.chaos.2007.07.026
Publikováno v:
Chaos, Solitons & Fractals. 37:1233-1243
Mohamed El Naschie’s E-infinity theory has introduced a new framework for understanding and describing nature that is resolution dependent. Wavelets and multiresolution analysis are good mathematical tools to support EI Naschie’s picture of the r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42f47874bcb7d001233342a52999f348
https://doi.org/10.1016/j.chaos.2007.07.075
https://doi.org/10.1016/j.chaos.2007.07.075
Publikováno v:
Applied Mathematics and Computation. 194:199-214
In this paper, we derive that there is a relation between the lowpass filter coefficient and wavelet's samples in its integer points when a scaling function is a cardinal orthogonal scaling function. And we give some examples in which the lowpass fil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::84ab9d9118a07355e2bf2216c9b7c257
https://doi.org/10.1016/j.amc.2007.04.039
https://doi.org/10.1016/j.amc.2007.04.039
Publikováno v:
Chaos, Solitons & Fractals. 34:1440-1449
In this paper, a method is developed for constructing compactly supported trivariate orthogonal wavelets from univariate orthogonal wavelets, essential idea of the approach is permutation of conjugate quadrature filter. Nonseparable and separable wav
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05ad8c7317471d96649518e0207a1f49
https://doi.org/10.1016/j.chaos.2006.06.078
https://doi.org/10.1016/j.chaos.2006.06.078
Autor:
Zheng-Xing Cheng, Qingjiang Chen
Publikováno v:
Chaos, Solitons & Fractals. 31:1024-1034
In this paper, vector-valued multiresolution analysis and orthogonal vector-valued wavelets are introduced. The definition for orthogonal vector-valued wavelet packets is proposed. A necessary and sufficient condition on the existence of orthogonal v
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::701cb4df06cdd4a7e4d95a3badbb7943
https://doi.org/10.1016/j.chaos.2006.03.097
https://doi.org/10.1016/j.chaos.2006.03.097
Publikováno v:
Journal of Applied Mathematics and Computing. 22:41-53
In the paper matrix-valued multiresolution analysis and matrix-valued wavelet packets of spaceL 2(R n ,C s x s) are introduced. A procedure for constructing a class of matrix-valued wavelet packets in higher dimensions is proposed. The properties for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e770ec25c967641e1a831721d526c52d
https://doi.org/10.1007/bf02832036
https://doi.org/10.1007/bf02832036
Publikováno v:
Computers & Mathematics with Applications. 51(11):1663-1676
A more flexible method of constructing multiwavelet packets with the scale a ≥ 2 from the same set of multiwavelets is discussed in this paper. The properties of these packets are studied. The formulae for performing iterations and decomposition ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cbc7ab6c8883426dbba1a37b0fa3c4c5