Geometry-Optimized Complex-Domain error-diffusion encoding for Fourier Single-Pixel Imaging
arXiv:2607.11264
The paper introduces a geometry‑optimized complex‑domain error‑diffusion method that encodes each complex Fourier basis pattern with multiple weighted binary patterns for Fourier single‑pixel imaging, improving reconstruction quality over traditional phase‑shifting dithering.
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.
6 pages, 5 figures