A Study of Semi-orthogonal Symmetric Multiple Vector-valued Wavelets with poly-scale and Applications

DOI

10.2991/icmra-15.2015.257How to use a DOI?

Keywords

multiple vector-valued wavelets; symmetric vector-valued scaling functions; subdivision operators; finite support; symmetric wavelets; polyphase matrix

Abstract

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 two- directional 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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Deyou Yuan
PY  - 2015/04
DA  - 2015/04
TI  - A Study of Semi-orthogonal Symmetric Multiple Vector-valued Wavelets with poly-scale and Applications
BT  - Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation
PB  - Atlantis Press
SP  - 1341
EP  - 1344
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmra-15.2015.257
DO  - 10.2991/icmra-15.2015.257
ID  - Yuan2015/04
ER  -