东北数学(英文版)
東北數學(英文版)
동북수학(영문판)
NORTHEASTERN MATHEMATICAL JOURNAL
2006年
4期
459-469
,共11页
崔丽%李华%周蕴时
崔麗%李華%週蘊時
최려%리화%주온시
multivariate wavelet%m-band dilation factor%non-tensor
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.