A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images
Images are often corrupted by impulse noise. In this paper, an alternating direction minimization with continuation algorithm is modified and iteratively used to remove the impulse noise in images by exploring its self-similarity. A patch-based nonlocal operator and sparse representation are married...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/595782 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849467850803118080 |
|---|---|
| author | Di Guo Xiaobo Qu Meng Wu Keshou Wu |
| author_facet | Di Guo Xiaobo Qu Meng Wu Keshou Wu |
| author_sort | Di Guo |
| collection | DOAJ |
| description | Images are often corrupted by impulse noise. In this paper, an alternating direction minimization with continuation algorithm is modified and iteratively used to remove the impulse noise in images by exploring its self-similarity. A patch-based nonlocal operator and sparse representation are married in the l1-l1 optimization model to be solved. Simulation results demonstrate that the proposed algorithm outperforms typical denoising methods in terms of preserving edges and textures for both salt-and-pepper noise and random-valued impulse noise. It can be also applied to suppress impulse noise-like artifacts in real mural images. |
| format | Article |
| id | doaj-art-e092b6d6912e41ee912fd67f161b1262 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-e092b6d6912e41ee912fd67f161b12622025-08-20T03:26:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/595782595782A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in ImagesDi Guo0Xiaobo Qu1Meng Wu2Keshou Wu3School of Computer and Information Engineering, Xiamen University of Technology, Xiamen 361024, ChinaDepartment of Electronic Science, Xiamen University, Xiamen 361005, ChinaSchool of Information and Control Engineering, Xi’an University of Architecture and Technology, Xi’an 710055, ChinaSchool of Computer and Information Engineering, Xiamen University of Technology, Xiamen 361024, ChinaImages are often corrupted by impulse noise. In this paper, an alternating direction minimization with continuation algorithm is modified and iteratively used to remove the impulse noise in images by exploring its self-similarity. A patch-based nonlocal operator and sparse representation are married in the l1-l1 optimization model to be solved. Simulation results demonstrate that the proposed algorithm outperforms typical denoising methods in terms of preserving edges and textures for both salt-and-pepper noise and random-valued impulse noise. It can be also applied to suppress impulse noise-like artifacts in real mural images.http://dx.doi.org/10.1155/2014/595782 |
| spellingShingle | Di Guo Xiaobo Qu Meng Wu Keshou Wu A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images Journal of Applied Mathematics |
| title | A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images |
| title_full | A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images |
| title_fullStr | A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images |
| title_full_unstemmed | A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images |
| title_short | A Modified Iterative Alternating Direction Minimization Algorithm for Impulse Noise Removal in Images |
| title_sort | modified iterative alternating direction minimization algorithm for impulse noise removal in images |
| url | http://dx.doi.org/10.1155/2014/595782 |
| work_keys_str_mv | AT diguo amodifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT xiaoboqu amodifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT mengwu amodifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT keshouwu amodifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT diguo modifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT xiaoboqu modifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT mengwu modifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages AT keshouwu modifiediterativealternatingdirectionminimizationalgorithmforimpulsenoiseremovalinimages |