中国物理B ›› 2021, Vol. 30 ›› Issue (1): 14208-.doi: 10.1088/1674-1056/abb3ea

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  • 收稿日期:2020-06-29 修回日期:2020-07-20 接受日期:2020-09-01 出版日期:2020-12-17 发布日期:2020-12-30

Compressive imaging based on multi-scale modulation and reconstruction in spatial frequency domain

Fan Liu(刘璠)1,3, Xue-Feng Liu(刘雪峰)1,3,†, Ruo-Ming Lan(蓝若明)2,‡, Xu-Ri Yao(姚旭日)1,3, Shen-Cheng Dou(窦申成)1,3, Xiao-Qing Wang(王小庆)1, and Guang-Jie Zhai(翟光杰)1,3   

  1. 1 Key Laboratory of Electronics and Information Technology for Space Systems, National Space Science Center, Chinese Academy of Sciences, Beijing 100190, China; 2 School of Physics and Electronics, Shandong Normal University, Ji'nan 250014, China; 3 University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2020-06-29 Revised:2020-07-20 Accepted:2020-09-01 Online:2020-12-17 Published:2020-12-30
  • Contact: †Corresponding author. E-mail: liuxuefeng@nssc.ac.cn ‡Corresponding author. E-mail: lanrm0616@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61601442, 61605218, and 61575207), the National Key Research and Development Program of China (Grant No. 2018YFB0504302), and the Youth Innovation Promotion Association of the Chinese Academy of Sciences (Grant Nos. 2015124 and 2019154).

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Abstract: Imaging quality is a critical component of compressive imaging in real applications. In this study, we propose a compressive imaging method based on multi-scale modulation and reconstruction in the spatial frequency domain. Theoretical analysis and simulation show the relation between the measurement matrix resolution and compressive sensing (CS) imaging quality. The matrix design is improved to provide multi-scale modulations, followed by individual reconstruction of images of different spatial frequencies. Compared with traditional single-scale CS imaging, the multi-scale method provides high quality imaging in both high and low frequencies, and effectively decreases the overall reconstruction error. Experimental results confirm the feasibility of this technique, especially at low sampling rate. The method may thus be helpful in promoting the implementation of compressive imaging in real applications.

Key words: compressed sensing, imaging quality, spatial frequency domain, multi-scale modulation

中图分类号:  (Imaging and optical processing)

  • 42.30.-d
42.30.Va (Image forming and processing) 42.30.Wb (Image reconstruction; tomography)