An Adaptive Sampling Fourier Single-Pixel Imaging Method based on Discrete Coefficients

Guangyao Chen, Yuanping Xu, Jiliu Zhou, Zhijie Xu, Chaolong Zhang, Chao Kong, Tukun Li, Qiuyan Gai

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Citation (Scopus)


Fourier Single-Pixel Imaging (FSPI) can directly obtain the Fourier spectrum of a target scene and reconstruct it. However, the existing FSPI spectrum sampling methods are mostly constrained within a prior range, which makes it challenging to balance the image details and noise suppression under limited samples and short reconstruction time. One of the crucial issues in the practical application of SPI technology is how to enhance its imaging speed while ensuring the quality of the imaging. Therefore, this study proposed an adaptive sampling FSPI method based on discrete coefficients. This method utilizes the characteristic of energy concentration in the Fourier spectrum to plan circular and rectangular sampling paths in the frequency domain. Measurements are taken along the planned sampling paths, and the mean and standard deviation of each segment are calculated to obtain the discrete coefficients. When the discrete coefficient exceeds the threshold, the sampling stops automatically. Then, the target image is reconstructed by performing the inverse Fourier transform on the acquired spectrum. The method proposed in this article has significantly improved the imaging efficiency of SPI.
Original languageEnglish
Title of host publicationThe 28th International Conference on Automation and Computing
Subtitle of host publicationDigitalisation for Smart Manufacturing and Systems
Number of pages6
ISBN (Electronic)9798350335859
ISBN (Print)9798350335866
Publication statusPublished - 16 Oct 2023
Event28th International Conference on Automation and Computing: Digitalisation for Smart Manufacturing and Systems - Aston University, Birmingham, United Kingdom
Duration: 30 Aug 20231 Sep 2023
Conference number: 28


Conference28th International Conference on Automation and Computing
Abbreviated titleICAC 2023
Country/TerritoryUnited Kingdom
Internet address

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