Proceedings of the International Conference on Wavelet Analysis and Applications
نویسنده
چکیده
In this paper, we shall discuss how to construct multidimensional biorthogonal wavelets by employing a coset by coset (CBC) algorithm. We shall construct biorthogonal wavelets on the hexagonal lattice by CBC algorithm. In particular, we shall propose a CBC algorithm to construct inter-polatory biorthogonal wavelets which are derived from pairs of fundamental reenable functions. More precisely, given an interpolatory primal mask a, we shall characterize when there exists an interpolatory dual mask a d of a such that a d satisses the sum rules of order k for some positive integer k. We shall prove that for any dilation matrix M with j det Mj > 2, there exist an inter-polatory primal mask a and an interpolatory dual mask a d of a such that a and a d satisfy any preassigned orders of sum rules. Finally, we shall give some examples of interpolatory biorthogonal wavelets.
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