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Title: Fourier spectrum retrieval in single-pixel imaging
Authors: Xiao, Y 
Zhou, LN 
Chen, W 
Keywords: Fourier spectrum
Single-pixel imaging
Object reconstruction
Optical imaging
Issue Date: 2019
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE photonics journal, Apr. 2019, v. 11, no. 2, 7800411, p. 1-11 How to cite?
Journal: IEEE photonics journal 
Abstract: Fourier spectrum represents objects in the frequency domain. Low-frequency coefficients show outlines of objects, and high-frequency coefficients display details of objects. In this paper, we propose a novel and high-efficiency Fourier spectrum retrieval method in single-pixel imaging. First, a small percentage of low-frequency coefficients is measured based on the Fourier spectrum acquisition method. Then, high-frequency coefficients, which are not measured directly, are quickly and efficiently estimated by using the proposed method. In comparison with the conventional Fourier spectrum acquisition method, conventional correlation algorithm and conventional Gerchberg-Saxton-like algorithm, the proposed method shows great advantages in measurement efficiency, since the proposed method can obtain reconstructed objects with high signal-to-noise ratio by using far fewer measurements. In addition, the proposed method also shows its capability in reconstructing high-quality objects under noise contamination. The numerical results and discussion are presented to illustrate feasibility and effectiveness of the proposed method.
EISSN: 1943-0655
DOI: 10.1109/JPHOT.2019.2898658
Rights: © 2019 IEEE. Translations and content mining are permitted for academic research only.Personal use is also permitted, but republication/redistribution requires IEEE permission.See for more information
The following publication Y. Xiao, L. Zhou and W. Chen, "Fourier Spectrum Retrieval in Single-Pixel Imaging," in IEEE Photonics Journal, vol. 11, no. 2, pp. 1-11, April 2019, Art no. 7800411 is available at
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