摘要
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.
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.
基金
National High-Tech Research and Development Plan(2001AA231031)
National Key Basic Research Plan(G1998030608)
National Special R&D Plan for Olympic Games(2001BAg04B08).
