Hermite-Like Interpolating Refinable Function Vector and Its Application in Signal Recovering

2011 ◽  
Vol 18 (3) ◽  
pp. 517-547 ◽  
Author(s):  
Youfa Li
Keyword(s):  
Refinable Function ◽  
Function Vector

scholarly journals High Balanced Biorthogonal Multiwavelets with Symmetry

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Youfa Li ◽  
Shouzhi Yang ◽  
Yanfeng Shen ◽  
Gengrong Zhang
Keyword(s):  
General Scheme ◽  
Refinable Function ◽  
Antisymmetric Component ◽  
Multiwavelet Transform ◽  
Refinable Function Vectors ◽  
Function Vector ◽  
Biorthogonal Multiwavelets ◽  
Vector Valued

Balanced multiwavelet transform can process the vector-valued data sparsely while preserving a polynomial signal. Yang et al. (2006) constructed balanced multiwavelets from the existing nonbalanced ones. It will be proved, however, in this paper that if the nonbalanced multiwavelets have antisymmetric component, it is impossible for the balanced multiwavelets by the method mentioned above to have symmetry. In this paper, we give an algorithm for constructing a pair of biorthogonal symmetric refinable function vectors from any orthogonal refinable function vector, which has symmetric and antisymmetric components. Then, a general scheme is given for high balanced biorthogonal multiwavelets with symmetry from the constructed pair of biorthogonal refinable function vectors. Moreover, we discuss the approximation orders of the biorthogonal symmetric refinable function vectors. An example is given to illustrate our results.

Construction of refinable function vector via GTST

2007 ◽  
Vol 194 (2) ◽  
pp. 425-430 ◽  
Author(s):  
Changzhen Xie ◽  
Shouzhi Yang
Keyword(s):  
Refinable Function ◽  
Function Vector

Generalized Refinable Function Vectors with Hermite Interpolating Property

2011 ◽  
Vol 50-51 ◽  
pp. 372-376
Author(s):  
Li Bo Cheng
Keyword(s):  
Image Processing ◽  
Computer Graphics ◽  
Symmetry Property ◽  
Approximation Property ◽  
Numerical Algorithms ◽  
Interpolation Property ◽  
Signal Denoising ◽  
Refinable Function ◽  
Refinable Function Vectors ◽  
Function Vector

Wavelet analysis has many applications in scientific areas such as computer graphics, image processing, numerical algorithms and signal denoising. In general, a wavelet is derived from a refinable function vector via a multiresolution analysis. In this paper, we presented a novel notion of generalized Hermite interpolating refinable function vector. In terms of its mask, several properties (such as interpolation property, symmetry property and approximation property) with respect to generalized Hermite interpolating refinable function vector. We shall present an example at the end of this paper.

Function Vector Synchronization of Uncertain Chaotic Systems with Parameters Variable

2012 ◽  
Vol 11 (11) ◽  
pp. 1619-1625
Author(s):  
Ning Li ◽  
Heng Liu ◽  
Wei Xiang ◽  
Hui Lv
Keyword(s):  
Chaotic Systems ◽  
Uncertain Chaotic Systems ◽  
Function Vector

Immunotherapy for Hepatoma Using a Dual-Function Vector with Both Immunostimulatory and Pim-3–Silencing Effects

2014 ◽  
Vol 13 (6) ◽  
pp. 1503-1513 ◽  
Author(s):  
Qie Guo ◽  
Peixiang Lan ◽  
Xin Yu ◽  
Qiuju Han ◽  
Jian Zhang ◽  
...  
Keyword(s):  
Dual Function ◽  
Function Vector
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