A Study of Semi-orthogonal Symmetric Multiple Vector-valued Wavelets with poly-scale and Applications
Deyou Yuan · Advances in computer science research · 2015
Material science is an interdisciplinary field applying the properties of matter to various areas of science and engineering.In this work, we introduce orthogonal vector-valued wavelets with poly-scale, which are wavelets for vector fields, based on the notion of full rank subdivision oper -ators.It is demonstrated that, like in the scalar and multiwavelet case, the existence of an symmetr -ic vector-valued scaling function guarantees the existence of symmetric vector-valued wavelet func -tions.Secondly, we propose a construction algorithm for compactly supported orthogonal twodirectional matrix-valued wavelet packets.Lastly, A method for constructing a class of compactly supported orthogonal matrix-valued wavelets is presented by means of matrix theory.