n-d m-band Generalized Multiresolution Analysis and Its Applications

摘要

In this paper,we extend the generalized multiresolution analysis(GMRA)to higher dimensional spaces.The GMRA is generalized from each ladder spaceexpanded 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 optimalm-band wavelets are applied in processing the image datasets of the human bodyslices.The efficiency and superiority of the algorithm can be seen from the processingresults.