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Open AccessArticle

Infrared Image Super-Resolution Reconstruction Based on Quaternion Fractional Order Total Variation with Lp Quasinorm

1
School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
2
Chongqing College of Electronic Engineering, Chongqing 401331, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2018, 8(10), 1864; https://doi.org/10.3390/app8101864
Received: 3 September 2018 / Revised: 1 October 2018 / Accepted: 2 October 2018 / Published: 10 October 2018
(This article belongs to the Special Issue Machine Learning and Compressed Sensing in Image Reconstruction)
Owing to the limitations of the imaging principle as well as the properties of imaging systems, infrared images often have some drawbacks, including low resolution, a lack of detail, and indistinct edges. Therefore, it is essential to improve infrared image quality. Considering the information of neighbors, a description of sparse edges, and by avoiding staircase artifacts, a new super-resolution reconstruction (SRR) method is proposed for infrared images, which is based on fractional order total variation (FTV) with quaternion total variation and the L p quasinorm. Our proposed method improves the sparsity exploitation of FTV, and efficiently preserves image structures. Furthermore, we adopt the plug-and-play alternating direction method of multipliers (ADMM) and the fast Fourier transform (FFT) theory for the proposed method to improve the efficiency and robustness of our algorithm; in addition, an accelerated step is adopted. Our experimental results show that the proposed method leads to excellent performances in terms of an objective evaluation and the subjective visual effect. View Full-Text
Keywords: super-resolution; infrared image; quaternion fractional order TV; Lp quasinorm; plug-and-play ADMM super-resolution; infrared image; quaternion fractional order TV; Lp quasinorm; plug-and-play ADMM
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Liu, X.; Chen, Y.; Peng, Z.; Wu, J.; Wang, Z. Infrared Image Super-Resolution Reconstruction Based on Quaternion Fractional Order Total Variation with Lp Quasinorm. Appl. Sci. 2018, 8, 1864.

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