Pseudo complementary measurement for traditional single-pixel cameras

doi:10.1088/1674-1056/abb22b

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 114202-.doi: 10.1088/1674-1056/abb22b

Qian Dong(董乾)¹, Xu-Ri Yao(姚旭日)²^,†(), Xin Liu(刘歆)³^,⁴, Bing Liu(刘冰)², Guang-Jie Zhai(翟光杰)²^,⁴

收稿日期:2020-05-25 修回日期:2020-07-08 接受日期:2020-08-25 出版日期:2020-11-05 发布日期:2020-11-03

Pseudo complementary measurement for traditional single-pixel cameras

Qian Dong(董乾)¹, Xu-Ri Yao(姚旭日)^{2, †}, Xin Liu(刘歆)^3,4, Bing Liu(刘冰)², and Guang-Jie Zhai(翟光杰)^2,4$

1 State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
2 Key Laboratory of Electronics and Information Technology for Space Systems, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China
3 State Key Laboratory of Scientific and Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
4 University of Chinese Academy of Sciences, Beijing 100049, China

Received:2020-05-25 Revised:2020-07-08 Accepted:2020-08-25 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: yaoxuri@nssc.ac.cn
Supported by:
the National Key Research and Development Program of China (Grant No. 2018YFB0504302), the Youth Innovation Promotion Association of Chinese Academy of Sciences, and the National Natural Science Foundation of China (Grant Nos. 11701545, 11971466, and 11991021).

摘要/Abstract

Abstract:

A traditional single-pixel camera needs a large number of measurements to reconstruct the object with compressive sensing computation. Compared with the 1/0 matrices in classical measurement, the 1/−1 matrices in the complementary measurement has better property for reconstruction computation and returns better reconstruction results. However, each row of the 1/−1 matrices needs two measurements with the traditional single-pixel camera which results into double measurements compared with the 1/0 matrices. In this paper, we consider the pseudo complementary measurement which only takes the same amount of measurements with the row number of some properly designed 1/0 matrix to compute the total luminous flux of the objective and derives the measurement data of the corresponding 1/−1 matrix in a mathematical way. The numerical simulation and experimental result show that the pseudo complementary measurement is an efficient tool for the traditional single-pixel camera imaging under low measurement rate, which can combine the advantages of the classical and complementary measurements and significantly improve the peak signal-to-noise ratio.

Key words: computational imaging, single-pixel camera

Qian Dong(董乾), Xu-Ri Yao(姚旭日), Xin Liu(刘歆), Bing Liu(刘冰), Guang-Jie Zhai(翟光杰). [J]. 中国物理B, 2020, 29(11): 114202-.

Qian Dong(董乾), Xu-Ri Yao(姚旭日), Xin Liu(刘歆), Bing Liu(刘冰), and Guang-Jie Zhai(翟光杰)$. Pseudo complementary measurement for traditional single-pixel cameras[J]. Chin. Phys. B, 2020, 29(11): 114202-.

图/表 13

参考文献 34

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σ	new 1/−1	rand. 1/0	rand. 1/−1	toep. 1/0	toep.1/−1	hada. 1/0	hada. 1/−1
0	99.74	31.98	19.16	30.01	20.89	32.31	19.77
1	31.35	30.42	18.46	26.25	17.74	30.94	19.13

Pseudo complementary measurement for traditional single-pixel cameras

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