Symmetry property and construction of wavelets with a general dilation matrix
نویسندگان
چکیده
منابع مشابه
Symmetry Property and Construction of Wavelets With a General Dilation Matrix
In this note, we are interested in the symmetry property of a refinable function with a general dilation matrix. We investigate the symmetry group of a mask so that its associated refinable function with a general dilation matrix has a certain kind of symmetry. Given two dilation matrices which produce the same lattice, we demonstrate that if a mask has a certain kind of symmetry, then its asso...
متن کاملConstruction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix
We present a method for the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 & 0 & 1\end{array}right )$-wavelets under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an example is provided.
متن کاملconstruction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix
we present a method for the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -11 & 1 & 0 1 & 0 & 1end{array}right )$-wavelets under a mild condition. wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. as an application, an example is provi...
متن کاملconstruction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix
we present a method for the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -11 & 1 & 0 1 & 0 & 1end{array}right )$-wavelets under a mild condition. wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. as an application, an example is provided.
متن کاملCompactly Supported Tight Wavelet Frames and Orthonormal Wavelets of Exponential Decay with a General Dilation Matrix
Tight wavelet frames and orthonormal wavelet bases with a general dilation matrix have applications in many areas. In this paper, for any d × d dilation matrix M , we demonstrate in a constructive way that we can construct compactly supported tight M -wavelet frames and orthonormal M -wavelet bases in L2(R) of exponential decay, which are derived from compactly supported M -refinable functions,...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2002
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(02)00307-5