The Research of Trivariate Normalized Tight Frames and Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme
The notion of trivariate normalized tight frames and a generalized multiresolution struc-ture and the concept of subspace trivariate affine pseudoframes are introduced. The pyramid decom-position scheme of a generalized multiresolution structure (GMRS) is established, which is generaliz-ation of Mallat's pyramid algorithm. A necessary and sufficient condition for the existence of the pyramid decomposition scheme of space is presented. Moreover, affine trivariate pseudo frame expansions of are constructed by virtue of the pyramid decomposition scheme.
S. H. Wang "The Research of Trivariate Normalized Tight Frames and Pseudoframes of Subspace Based on a Pyramid Decomposition Scheme", Advanced Materials Research, Vol. 721, pp. 733-736, 2013