Single pixel imaging based on semi-continuous wavelet transform

doi:10.1088/1674-1056/abe373

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 74201-074201.doi: 10.1088/1674-1056/abe373

Single pixel imaging based on semi-continuous wavelet transform

Chao Gao(高超)¹, Xiaoqian Wang(王晓茜)^1,†, Shuang Wang(王爽)¹, Lidan Gou(苟立丹)¹, Yuling Feng(冯玉玲)¹, Guangyong Jin(金光勇)², and Zhihai Yao(姚治海)^1,‡

1 Department of Physics, Changchun University of Science and Technology, Changchun 130022, China;
2 Jilin Key Laboratory of Solid Laser Technology and Application, Changchun University of Science and Technology, Changchun 130022, China

收稿日期:2020-12-01 修回日期:2021-02-02 接受日期:2021-02-05 出版日期:2021-06-22 发布日期:2021-06-22
通讯作者: Xiaoqian Wang, Zhihai Yao E-mail:xqwang21@163.com;yaozh@cust.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Jilin Province, China (Grand No. YDZJ202101ZYTS030).

Single pixel imaging based on semi-continuous wavelet transform

Chao Gao(高超)¹, Xiaoqian Wang(王晓茜)^1,†, Shuang Wang(王爽)¹, Lidan Gou(苟立丹)¹, Yuling Feng(冯玉玲)¹, Guangyong Jin(金光勇)², and Zhihai Yao(姚治海)^1,‡

1 Department of Physics, Changchun University of Science and Technology, Changchun 130022, China;
2 Jilin Key Laboratory of Solid Laser Technology and Application, Changchun University of Science and Technology, Changchun 130022, China

Received:2020-12-01 Revised:2021-02-02 Accepted:2021-02-05 Online:2021-06-22 Published:2021-06-22
Contact: Xiaoqian Wang, Zhihai Yao E-mail:xqwang21@163.com;yaozh@cust.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Jilin Province, China (Grand No. YDZJ202101ZYTS030).

摘要/Abstract

摘要： Single pixel imaging is a novel imaging technique, and it becomes a focus of research in recent years due to its advantages such as high lateral resolution and high robustness to noise. Imaging speed is one of the critical shortcomings, which limits the further development and applications of this technique. In this paper, we focus on the issues of imaging efficiency of a single pixel imaging system. We propose semi-continuous wavelet transform (SCWT) protocol and introduce the protocol into the single pixel imaging system. The proposed protocol is something between continuous wavelet transform and discrete wavelet transform, which allows the usage of those smooth (usually non-orthogonal, and they have advantages in representing smooth signals compressively, which can improve the imaging speed of single pixel imaging) wavelets and with limited numbers of measurements. The proposed imaging scheme is studied, and verified by simulations and experiments. Furthermore, a comparison between our proposed scheme and existing imaging schemes are given. According to the results, the proposed SCWT scheme is proved to be effective in reconstructing a image compressively.

关键词: single pixel imaging, wavelet transform, modulation of light source

Abstract: Single pixel imaging is a novel imaging technique, and it becomes a focus of research in recent years due to its advantages such as high lateral resolution and high robustness to noise. Imaging speed is one of the critical shortcomings, which limits the further development and applications of this technique. In this paper, we focus on the issues of imaging efficiency of a single pixel imaging system. We propose semi-continuous wavelet transform (SCWT) protocol and introduce the protocol into the single pixel imaging system. The proposed protocol is something between continuous wavelet transform and discrete wavelet transform, which allows the usage of those smooth (usually non-orthogonal, and they have advantages in representing smooth signals compressively, which can improve the imaging speed of single pixel imaging) wavelets and with limited numbers of measurements. The proposed imaging scheme is studied, and verified by simulations and experiments. Furthermore, a comparison between our proposed scheme and existing imaging schemes are given. According to the results, the proposed SCWT scheme is proved to be effective in reconstructing a image compressively.

Key words: single pixel imaging, wavelet transform, modulation of light source

中图分类号: (Image reconstruction; tomography)

42.30.Wb

42.30.-d (Imaging and optical processing)

Chao Gao(高超), Xiaoqian Wang(王晓茜), Shuang Wang(王爽), Lidan Gou(苟立丹), Yuling Feng(冯玉玲), Guangyong Jin(金光勇), and Zhihai Yao(姚治海). Single pixel imaging based on semi-continuous wavelet transform[J]. 中国物理B, 2021, 30(7): 74201-074201.

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Single pixel imaging based on semi-continuous wavelet transform

Single pixel imaging based on semi-continuous wavelet transform

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