作者:
CK Chui，JZ Wang
关键词:
Compactly supported wavelets ； -splines ； decomposition ； reconstruction ； duality principle ； dual bases
摘要:
Let be a multiresolution analysis of generated by the th order -spline . In this paper, we exhibit a compactly supported basic wavelet that generates the corresponding orthogonal complementary wavelet subspaces . Consequently, the two finite sequences that describe the two-scale relations of and in terms of , yield an efficient reconstruction algorithm. To give an efficient wavelet decomposition algorithm based on these two finite sequences, we derive a duality principle, which also happens to yield the dual bases and , relative to and , respectively.
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