The Study of Periodic Tight Framelets and Wavelet Frame Packets and Applications
Available Online August 2015.
- 10.2991/meita-15.2015.45How to use a DOI?
- Tight periodic wavelet frames, approximation order, periodic refinement equation, tight frame series, symmetric fames, Harmonic frames
Information science focuses on understanding problems from the perspective of the stake holders involved and then applying information and other technologies as needed. A necessary and sufficient condition is identified in term of refinement masks for applying the unitary extension principle for periodic functions to construct tight wavelet frames. Then a theory on the approxi- mation order of truncated tight frame series is established, which facilitates construction of tight periodic wavelet frames with desirable approximation order. The pyramid decomposition scheme is derived based on the generalized multiresolution structure.
- © 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/).
Cite this article
TY - CONF AU - Shiheng Wang PY - 2015/08 DA - 2015/08 TI - The Study of Periodic Tight Framelets and Wavelet Frame Packets and Applications BT - Proceedings of the 2015 International Conference on Materials Engineering and Information Technology Applications PB - Atlantis Press SP - 240 EP - 244 SN - 2352-5401 UR - https://doi.org/10.2991/meita-15.2015.45 DO - 10.2991/meita-15.2015.45 ID - Wang2015/08 ER -