Optimal hadamard single-pixel imaging based on fourier spectrum of pattern

Abstract

Abstract A Hadamard single-pixel imaging method is proposed, which rearranges the order of Hadamard patterns by comparing their energy values of selected regions in the Fourier spectrum of the patterns, thereby optimizing the sampling times required when a certain level of image quality needed to be obtained. The relationship between the Fourier spectrum of the reconstructed image and the adopted projection patterns is explored, and we argue that the reconstructed object is actually a weighted superposition of the applied patterns. Simulation and experiment are carried out for the proposed method. The results show that the selection of pattern is crucial to the reconstruction of the object. We believe that this method may be helpful to the optimal design of single-pixel imaging pattern in the future.