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Blind Deconvolution with Non-local Similarity and $l_0$ Sparsity for Noisy Image
Abstract
The blind image deconvolution techniques with sparsity prior in gradient domain are sensitive to noise, even a small amount of noise. To address this problem, in this letter, we propose a novel blind deconvolution model that combines low-rank property, nonlocal similarity, and l0sparsity prior. Low-rank property makes the proposed deblurring model robust to image noise. The joint utilization of nonlocal similarity and l0sparsity prior has improved the accuracy of blur kernel estimation and restores the fine image details. A numerical method is also given to solve the proposed problem. Experimental results on synthetic and real data show that our algorithm performs better against with the state-of-the-art methods for both noise and noise-free images.
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“The Lo norm introduces a sparsity constraint to the objective function. It can be defined as the number of non-zero elements in the function [30]. But since solving the Lo norm is an NP hard problem it will be difficult to solve it.”
From A Comprehensive Review of Blind Deconvolution Techniques for Image Deblurring (2020) · cites this paper as [30]
In the citing paper
“Converges to a global minimum”
From A Comprehensive Review of Blind Deconvolution Techniques for Image Deblurring (2020) · cites this paper as [30]
In the citing paper
“Avoids the delta kernel solution”
From A Comprehensive Review of Blind Deconvolution Techniques for Image Deblurring (2020) · cites this paper as [30]
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Cited by
Sorted by citations
A Comprehensive Review of Blind Deconvolution Techniques for Image Deblurring
Satish, P., Srikantaswamy, M., & Ramaswamy, N. (2020) · Traitement du signal · doi:10.18280/ts.370321 · Cited by 59
Metadata
- Authors
- Ren, W., Tian, J., & Tang, Y.
- Affiliations
- Shenyang Institute of Automation (CN)
- Venue
- IEEE Signal Processing Letters
- Published
- 2016
- Pages
- 1-1
- ISSN
- 1070-9908 (ISSN-L)
- 1558-2361
- OpenAlex
- W2334453399
- Cited by
- 2
- References
- 0
- Citations by year
- 2020: 2
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Signal Processing Letters (publishedVersion)
- SIA OpenIR (Chinese Academy of Sciences) (submittedVersion)
- Funders
- National Natural Science Foundation of China (61333019, 61473280)
- Topics
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Advanced Image Processing Techniques
- Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image and Signal Denoising Methods
- Physical Sciences › Engineering › Media Technology › Image Processing Techniques and Applications
- Keywords
- blind image deconvolution, image deblurring, nonlocal similarity, low-rank prior, blur kernel estimation, noise robustness, gradient domain, image restoration
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- The paper
- Ren, W., Tian, J., & Tang, Y. (2016). Blind Deconvolution with Non-local Similarity and $l_0$ Sparsity for Noisy Image. IEEE Signal Processing Letters. https://doi.org/10.1109/lsp.2016.2530855