The a-scale three-dimensional octave wavelet scaling function is generalized to orthogonal and bi-orthogonal cases.The three-dimensional eight-directional scale function and wavelet function,a method of constructing bi-orthogonal a-scale three-dimensional octave scale function and wavelet function is studied.%研究三维八向小波的多分辨分析及三维八向尺度函数和小波函数正交与双正交的条件,提出一种构造双正交的a尺度三维八向尺度函数和小波函数的方法.
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