The two-dimensional several scaling functions wavelets generated by the tensor product
Song Guo · Jounal of Xidian University · 2000
Starting from the two dimensional tensor product, several scaling functions wavelets for the two dimensional space are defined. The necessary and sufficient conditions for the orthonermality of {Φ k(x-n 1) Φ 1(y-n 2), n 1, n 2∈Z, k, l=1,…,r}, of the wavelets functions gnerated by {Φ i(x) Ψ j(y), Φ i(y) Ψ j(x), Ψ i(x) Ψ j(y), i, j=1,…,r} and of f k∈v 1 (k=1,…,r) by translating are presented. An example is given.