@article {IOPORT.05846395,
    author       = {Huang, Yongdong and Yang, Miao},
    title        = {The construction of trivariate nonseparable wavelets with a special dilation matrix.},
    year         = {2010},
    journal      = {Acta Mathematicae Applicatae Sinica},
    volume       = {33},
    number       = {2},
    issn         = {0254-3079},
    pages        = {247-261},
    publisher    = {Institute of Applied Mathematics, The Chinese Academy of Sciences, Beijing},
    abstract     = {Summary: Multi-dimensional wavelet analysis is powerful instrument to analysis and process multidimensional digital signal. Nonseparable multi-dimensional wavelet is widely used in modulation recognition, texture analysis, and boundary check and so on. In this paper, we provide an algorithm of construction of compactly supported trivariate nonseparable wavelet with a special dilation matrix. The wavelet functions inherit the symmetry of the corresponding scaling function and satisfy the vanishing moment condition originating from the symbols and the scaling function. As the great degree of freedom in choosing the parameter to the symbol function, we could adaptively determine the symbol function in terms of different situations. Therefore, it is convenient to use this kind of wavelets in signal processing. Finally, an example is also given to demonstrate the general theory.},
    identifier   = {05846395},
}