title: Construction of arbitrary dimensional biorthogonal multiwavelet using lifting scheme.
abstract: This paper focuses on the construction of multidimensional biorthogonal multiwavelets and the perfect reconstruction multifilter banks. Based on the Hermite-Neville filter, two lifting structures have been proposed and systematically investigated, and a general design framework has been developed for building biorthogonal multiwavelets and Hermite interpolation filter banks with any multiplicity for any lattice in any dimension with any number of primal and dual vanishing moments. The construction is an important generalization of the Neville-based lifting scheme and inherits all of the advantages of lifting schemes such as fast transform, in-place computation and integer-to-integer transforms. Our multiwavelet systems preserve most of the desirable properties for applications, such as interpolating, short support, symmetry, and high vanishing moments.
authors.affiliation: College of Information Engineering and Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, China.
authors.forename: Xieping
authors.initials: X
authors.lastname: Gao
authors.forename: Fen
authors.initials: F
authors.lastname: Xiao
authors.forename: Bodong
authors.initials: B
authors.lastname: Li