Publication Details
Simple Signal Extension Method for Discrete Wavelet Transform
Kula Michal, Ing., Ph.D. (DCGM FIT BUT)
Zemčík Pavel, prof. Dr. Ing. (DCGM FIT BUT)
discrete wavelet transform, lifting scheme
The paper deals with an effective implementation of symmetric border extension for discrete wavelet transforms. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way.
Discrete wavelet transform of finite-length signals must necessarily handle the signal boundaries. The state-of-the-art approaches treat such boundaries in a complicated and inflexible way, using special prolog or epilog phases. This holds true in particular for images decomposed into a number of scales, exemplary in JPEG 2000 coding system. In this paper, the state-of-the-art approaches are extended to perform the treatment using a compact streaming core, possibly in multi-scale fashion. We present the core focused on CDF 5/3 wavelet and the symmetric border extension method, both employed in the JPEG 2000. As a result of our work, every input sample is visited only once, while the results are produced immediately, i.e. without buffering.
@INPROCEEDINGS{FITPUB11245,
author = "David Ba\v{r}ina and Michal Kula and Pavel Zem\v{c}\'{i}k",
title = "Simple Signal Extension Method for Discrete Wavelet Transform",
pages = "534--538",
booktitle = "Proceedings of 2016 IEEE International Conference on Signal and Image Processing",
year = 2016,
location = "Beijing, CN",
publisher = "Institute of Electrical and Electronics Engineers",
ISBN = "978-1-5090-2375-2",
doi = "10.1109/SIPROCESS.2016.7888319",
language = "english",
url = "https://www.fit.vut.cz/research/publication/11245"
}