Efficient sparse Fourier single-pixel imaging

Rong Yan, Daoyu Li, Liheng Bian*

*Corresponding author for this work

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

Abstract

Fourier single-pixel imaging (FSI) acquisition time is tied to the number of modulations. FSI has a tradeoff between efficiency and accuracy. This work reports a mathematical analytic tool for efficient sparse FSI sampling. It is an efficient and adjustable sampling strategy to capture more information about scenes with reduced modulation times. Specifically, we first conduct the statistical importance ranking of Fourier coefficients of natural images. We design a sparse sampling strategy for FSI with a polynomially decent probability of the ranking. The sparsity of the captured Fourier spectrum can be adjusted by altering the polynomial order. We utilize a compressive sensing (CS) algorithm for sparse FSI reconstruction. From quantitative results, we have obtained the experiential rules of optimal sparsity for FSI under different noise levels and at different sampling ratios.

Original languageEnglish
Title of host publicationOptoelectronic Imaging and Multimedia Technology IX
EditorsQionghai Dai, Tsutomu Shimura, Zhenrong Zheng
PublisherSPIE
ISBN (Electronic)9781510657007
DOIs
Publication statusPublished - 2022
EventOptoelectronic Imaging and Multimedia Technology IX 2022 - Virtual, Online, China
Duration: 5 Dec 202211 Dec 2022

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume12317
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X

Conference

ConferenceOptoelectronic Imaging and Multimedia Technology IX 2022
Country/TerritoryChina
CityVirtual, Online
Period5/12/2211/12/22

Keywords

  • FSI
  • Sparse sampling

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