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arXiv · 2607.11264

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

Chongwu Shao·Yue Cao·Wei Zhang·Xiaopeng-Jin·Yingran Shen·Shijian Li·Xu-Ri Yao
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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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Chongwu Shao, Yue Cao, Wei Zhang, Xiaopeng-Jin, Yingran Shen, Shijian Li, Xu-Ri Yao. 2026-07-13. Geometry-Optimized Complex-Domain error-diffusion encoding for Fourier Single-Pixel Imaging. https://arxiv.org/abs/2607.11264

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