The Research of Bivariate Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme
The notion of a generalized multiresolution structure and the concept of subspace bivariate affine pseudoframes are introduced. The pyramid decomposition scheme of a generalized multiresolution structure(GMRS) is established, which is generalization of Mallat's pyramid algorit- -hm. A necessary and sufficient condition for the existence of the pyramid decomposition scheme of space is presented. Moreover, affine bivariate pseudoframe expansions of are constructed by virtue of the pyramid decomposition scheme.
Z. L. An and Y. M. Niu, "The Research of Bivariate Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme", Key Engineering Materials, Vols. 439-440, pp. 1117-1122, 2010