Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation
Single-pixel imaging techniques extend the time dimension to reconstruct a target scene in the spatial domain based on single-pixel detectors. Structured light illumination modulates the target scene by utilizing multi-pattern projection, and the reflected or transmitted light is measured by a singl...
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doaj-fb93fae0e0d84c7d89cac70366bcd6bb2020-11-25T01:48:28ZengMDPI AGSensors1424-82202020-03-01206167410.3390/s20061674s20061674Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity CorrelationLing-Tong Meng0Ping Jia1Hong-Hai Shen2Ming-Jie Sun3Dong Yao4Han-Yu Wang5Chun-Hui Yan6Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaSchool of Instrumentation Science and Optoelectronic Engineering, Beihang University, Beijing 100191, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaSingle-pixel imaging techniques extend the time dimension to reconstruct a target scene in the spatial domain based on single-pixel detectors. Structured light illumination modulates the target scene by utilizing multi-pattern projection, and the reflected or transmitted light is measured by a single-pixel detector as total intensity. To reduce the imaging time and capture high-quality images with a single-pixel imaging technique, orthogonal patterns have been used instead of random patterns in recent years. The most representative among them are Hadamard patterns and Fourier sinusoidal patterns. Here, we present an alternative Fourier single-pixel imaging technique that can reconstruct high-quality images with an intensity correlation algorithm using acquired Fourier positive−negative images. We use the Fourier matrix to generate sinusoidal and phase-shifting sinusoid-modulated structural illumination patterns, which correspond to Fourier negative imaging and positive imaging, respectively. The proposed technique can obtain two centrosymmetric images in the intermediate imaging course. A high-quality image is reconstructed by applying intensity correlation to the negative and positive images for phase compensation. We performed simulations and experiments, which obtained high-quality images, demonstrating the feasibility of the methods. The proposed technique has the potential to image under sub-sampling conditions.https://www.mdpi.com/1424-8220/20/6/1674single-pixel imagingcomputational ghost imagingfourier matrixsinusoidal illumination patternspositive–negative intensity correlation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ling-Tong Meng Ping Jia Hong-Hai Shen Ming-Jie Sun Dong Yao Han-Yu Wang Chun-Hui Yan |
spellingShingle |
Ling-Tong Meng Ping Jia Hong-Hai Shen Ming-Jie Sun Dong Yao Han-Yu Wang Chun-Hui Yan Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation Sensors single-pixel imaging computational ghost imaging fourier matrix sinusoidal illumination patterns positive–negative intensity correlation |
author_facet |
Ling-Tong Meng Ping Jia Hong-Hai Shen Ming-Jie Sun Dong Yao Han-Yu Wang Chun-Hui Yan |
author_sort |
Ling-Tong Meng |
title |
Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation |
title_short |
Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation |
title_full |
Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation |
title_fullStr |
Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation |
title_full_unstemmed |
Sinusoidal Single-Pixel Imaging Based on Fourier Positive–Negative Intensity Correlation |
title_sort |
sinusoidal single-pixel imaging based on fourier positive–negative intensity correlation |
publisher |
MDPI AG |
series |
Sensors |
issn |
1424-8220 |
publishDate |
2020-03-01 |
description |
Single-pixel imaging techniques extend the time dimension to reconstruct a target scene in the spatial domain based on single-pixel detectors. Structured light illumination modulates the target scene by utilizing multi-pattern projection, and the reflected or transmitted light is measured by a single-pixel detector as total intensity. To reduce the imaging time and capture high-quality images with a single-pixel imaging technique, orthogonal patterns have been used instead of random patterns in recent years. The most representative among them are Hadamard patterns and Fourier sinusoidal patterns. Here, we present an alternative Fourier single-pixel imaging technique that can reconstruct high-quality images with an intensity correlation algorithm using acquired Fourier positive−negative images. We use the Fourier matrix to generate sinusoidal and phase-shifting sinusoid-modulated structural illumination patterns, which correspond to Fourier negative imaging and positive imaging, respectively. The proposed technique can obtain two centrosymmetric images in the intermediate imaging course. A high-quality image is reconstructed by applying intensity correlation to the negative and positive images for phase compensation. We performed simulations and experiments, which obtained high-quality images, demonstrating the feasibility of the methods. The proposed technique has the potential to image under sub-sampling conditions. |
topic |
single-pixel imaging computational ghost imaging fourier matrix sinusoidal illumination patterns positive–negative intensity correlation |
url |
https://www.mdpi.com/1424-8220/20/6/1674 |
work_keys_str_mv |
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1725012070762545152 |