Random lasers and scattering media Open access

Geometry-Optimized Complex-Domain error-diffusion encoding for Fourier Single-Pixel Imaging

Chongwu Shao, Yue Cao, Wei Zhang, Xiaopeng-Jin and 3 more

arXiv (Cornell University) | Jul 13, 2026

Abstract

Abstract

This work proposes a geometry-optimized complex-domain error-diffusion encoding method for Fourier single-pixel imaging. Instead of independently binarizing multiple grayscale phase-shifting patterns, the proposed method directly represents each complex-valued Fourier basis pattern using K (K >= 3) weighted binary patterns while diffusing the residual error in the complex domain. A geometric interpretation is further established, revealing that the encoding process can be viewed as approximating the Fourier-basis unit circle by a regular polygon in the complex plane. Based on this geometric interpretation, practical optimization strategies are developed for K = 3, K = 4, and K = 7. Both numerical simulations and real-object experiments demonstrate consistently superior reconstruction quality compared with conventional phase-shifting dithering.

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Authors

Researchers on this paper

Chongwu Shao

first

Yue Cao

middle

Wei Zhang

middle

Xiaopeng-Jin

middle

Yingran Shen

middle

Shijian Li

middle

Xu-Ri Yao

last

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Citation

BibTeX

@article{Shao2026Geometry,
  title = {Geometry-Optimized Complex-Domain error-diffusion encoding for Fourier Single-Pixel Imaging},
  author = {Chongwu Shao and Yue Cao and Wei Zhang and Xiaopeng-Jin and Yingran Shen and Shijian Li and Xu-Ri Yao},
  journal = {arXiv (Cornell University)},
  year = {2026},
  url = {https://arxiv.org/abs/2607.11264}
}

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