n-d m-band Generalized Multiresolution Analysis and Its Applications
Li Cui · 东北数学：英文版 · 2006
In this paper,we extend the generalized multiresolution analysis(GMRA) to higher dimensional spaces.The GMRA is generalized from each ladder space expanded by a different scaling function with positive integer dilation factor m≥2. The n-d GMRA is discussed in orthogonal and bi-orthogonal cases.Then the optimal m-band wavelets are applied in processing the image datasets of the human body slices.The efficiency and superiority of the algorithm can be seen from the processing results.