Publication Details
The Parallel Algorithm for the 2D Discrete Wavelet Transform
Najman Pavel, Ing., Ph.D. (DCGM FIT BUT)
Klepárník Petr, Ing., Ph.D. (DCGM FIT BUT)
Kula Michal, Ing., Ph.D. (DCGM FIT BUT)
Zemčík Pavel, prof. Dr. Ing. (DCGM FIT BUT)
discrete wavelet transform, lifting scheme, multi-core processors, parallel architecture
The discrete wavelet transform can be found at the heart of many image-processing algorithms. Until now, the transform on general-purpose processors (CPUs) was mostly computed using a separable lifting scheme. As the lifting scheme consists of a small number of operations, it is preferred for processing using single-core CPUs. However, considering a parallel processing using multi-core processors, this scheme is inappropriate due to a large number of steps. On such architectures, the number of steps corresponds to the number of points that represent the exchange of data. Consequently, these points often form a performance bottleneck. Our approach appropriately rearranges calculations inside the transform, and thereby reduces the number of steps. In other words, we propose a new scheme that is friendly to parallel environments. When evaluating on multi-core CPUs, we consistently overcome the original lifting scheme. The evaluation was performed on 61-core Intel Xeon Phi and 8-core Intel Xeon processors.
The discrete wavelet transform can be found at the heart of many image-processing algorithms. Until now, the transform on general-purpose processors (CPUs) was mostly computed using a separable lifting scheme. As the lifting scheme consists of a small number of operations, it is preferred for processing using single-core CPUs. However, considering a parallel processing using multi-core processors, this scheme is inappropriate due to a large number of steps. On such architectures, the number of steps corresponds to the number of points that represent the exchange of data. Consequently, these points often form a performance bottleneck. Our approach appropriately rearranges calculations inside the transform, and thereby reduces the number of steps. In other words, we propose a new scheme that is friendly to parallel environments. When evaluating on multi-core CPUs, we consistently overcome the original lifting scheme. The evaluation was performed on 61-core Intel Xeon Phi and 8-core Intel Xeon processors.
@INPROCEEDINGS{FITPUB11530,
author = "David Ba\v{r}ina and Pavel Najman and Petr Klep\'{a}rn\'{i}k and Michal Kula and Pavel Zem\v{c}\'{i}k",
title = "The Parallel Algorithm for the 2D Discrete Wavelet Transform",
pages = "1--6",
booktitle = "Ninth International Conference on Graphic and Image Processing (ICGIP 2017)",
journal = "Proceedings of SPIE",
volume = 10615,
number = 4,
year = 2017,
location = "Qingdao, CN",
publisher = "SPIE - the international society for optics and photonics",
ISBN = "978-1-5106-1741-4",
ISSN = "0277-786X",
doi = "10.1117/12.2302881",
language = "english",
url = "https://www.fit.vut.cz/research/publication/11530"
}