Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation

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

Authors
Deyou Yuan
Corresponding Author
Deyou Yuan
Available Online April 2015.
DOI
https://doi.org/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.
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This is an open access article distributed under the CC BY-NC license.

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Volume Title
Proceedings of the 3rd International Conference on Mechatronics, Robotics and Automation
Series
Advances in Computer Science Research
Publication Date
April 2015
ISBN
978-94-62520-76-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icmra-15.2015.257How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

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  - https://doi.org/10.2991/icmra-15.2015.257
ID  - Yuan2015/04
ER  -