A Study of Semi-orthogonal Symmetric Multiple Vector-valued Wavelets with poly-scale and Applications
Available Online April 2015.
- https://doi.org/10.2991/icmra-15.2015.257How to use a DOI?
- multiple vector-valued wavelets; symmetric vector-valued scaling functions; subdivision operators; finite support; symmetric wavelets; polyphase matrix
- 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.
- 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 -