A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling
We propose a novel fast iterative thresholding algorithm for image compressive sampling (CS) recovery using three existing denoisers—i.e., TV (total variation), wavelet, and BM3D (block-matching and 3D filtering) denoisers. Through the use of the recently introduced plug-and-play prior approach, we...
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MDPI AG
2017-06-01
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Series: | Future Internet |
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Online Access: | http://www.mdpi.com/1999-5903/9/3/24 |
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author | Lingjun Liu Zhonghua Xie Cui Yang |
author_facet | Lingjun Liu Zhonghua Xie Cui Yang |
author_sort | Lingjun Liu |
collection | DOAJ |
description | We propose a novel fast iterative thresholding algorithm for image compressive sampling (CS) recovery using three existing denoisers—i.e., TV (total variation), wavelet, and BM3D (block-matching and 3D filtering) denoisers. Through the use of the recently introduced plug-and-play prior approach, we turn these denoisers into CS solvers. Thus, our method can jointly utilize the global and nonlocal sparsity of images. The former is captured by TV and wavelet denoisers for maintaining the entire consistency; while the latter is characterized by the BM3D denoiser to preserve details by exploiting image self-similarity. This composite constraint problem is then solved with the fast composite splitting technique. Experimental results show that our algorithm outperforms several excellent CS techniques. |
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format | Article |
id | doaj.art-b8dca0a9a3c44d73838a80dee5d062e4 |
institution | Directory Open Access Journal |
issn | 1999-5903 |
language | English |
last_indexed | 2024-12-10T18:03:20Z |
publishDate | 2017-06-01 |
publisher | MDPI AG |
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series | Future Internet |
spelling | doaj.art-b8dca0a9a3c44d73838a80dee5d062e42022-12-22T01:38:42ZengMDPI AGFuture Internet1999-59032017-06-01932410.3390/fi9030024fi9030024A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive SamplingLingjun Liu0Zhonghua Xie1Cui Yang2School of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, ChinaSchool of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, ChinaSchool of Electronic and Information Engineering, South China University of Technology, Guangzhou 510641, ChinaWe propose a novel fast iterative thresholding algorithm for image compressive sampling (CS) recovery using three existing denoisers—i.e., TV (total variation), wavelet, and BM3D (block-matching and 3D filtering) denoisers. Through the use of the recently introduced plug-and-play prior approach, we turn these denoisers into CS solvers. Thus, our method can jointly utilize the global and nonlocal sparsity of images. The former is captured by TV and wavelet denoisers for maintaining the entire consistency; while the latter is characterized by the BM3D denoiser to preserve details by exploiting image self-similarity. This composite constraint problem is then solved with the fast composite splitting technique. Experimental results show that our algorithm outperforms several excellent CS techniques.http://www.mdpi.com/1999-5903/9/3/24compressive samplingplug-and-play priorBM3Dcomposite splitting |
spellingShingle | Lingjun Liu Zhonghua Xie Cui Yang A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling Future Internet compressive sampling plug-and-play prior BM3D composite splitting |
title | A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling |
title_full | A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling |
title_fullStr | A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling |
title_full_unstemmed | A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling |
title_short | A Novel Iterative Thresholding Algorithm Based on Plug-and-Play Priors for Compressive Sampling |
title_sort | novel iterative thresholding algorithm based on plug and play priors for compressive sampling |
topic | compressive sampling plug-and-play prior BM3D composite splitting |
url | http://www.mdpi.com/1999-5903/9/3/24 |
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