Proceedings of the 2018 International Conference on Network, Communication, Computer Engineering (NCCE 2018)

A Fast FFT-Based Iterative Algorithm for Image Deblurring With Anti-Reflective Boundary Conditions

Authors
Xun Chen, Qi Zhu
Corresponding Author
Xun Chen
Available Online May 2018.
DOI
10.2991/ncce-18.2018.68How to use a DOI?
Keywords
PSFs; FFT; Anti-Reflective
Abstract

In this paper we consider the image deploring problem with space invariant PSFs under anti-reflecting boundary conditions. Under the assumption that PSFs are strongly symmetric and boundary values of image are homogeneous, the image deploring problem is transformed to the circular DE convolution problem by odd periodic extension. A fast Landseer iterative algorithm based on the FFT is pro- posed for the 1D and 2D DE convolution problem. In case boundary values of image are nonhomogeneous, due to the anti-reflecting boundary conditions, the bound- ray values of image can be restored by solving a 1D problem, then the boundary values of image can be homogeneous by subtracting a term related with the re- stored boundary values. If PSFs are not strongly symmetric, the image deploring problem can be transformed to one with strongly symmetric PSFs by re-blurring approach. Numerical experiments show that the efficiency of our algorithm is fast and effective

Copyright
© 2018, 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/).

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Volume Title
Proceedings of the 2018 International Conference on Network, Communication, Computer Engineering (NCCE 2018)
Series
Advances in Intelligent Systems Research
Publication Date
May 2018
ISBN
978-94-6252-517-7
ISSN
1951-6851
DOI
10.2991/ncce-18.2018.68How to use a DOI?
Copyright
© 2018, 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  - Xun Chen
AU  - Qi Zhu
PY  - 2018/05
DA  - 2018/05
TI  - A Fast FFT-Based Iterative Algorithm for Image Deblurring With Anti-Reflective Boundary Conditions
BT  - Proceedings of the 2018 International Conference on Network, Communication, Computer Engineering (NCCE 2018)
PB  - Atlantis Press
SP  - 431
EP  - 441
SN  - 1951-6851
UR  - https://doi.org/10.2991/ncce-18.2018.68
DO  - 10.2991/ncce-18.2018.68
ID  - Chen2018/05
ER  -