High-efficiency single-pixel imaging using discrete Hartley transform

Mengchao Ma,Qingtian Guan,Qianzhen Sun,Xiang Zhong,Xicheng Gao,Guan Wang,Yi Zhang,Huaxia Deng

doi:10.1063/5.0057119

Abstract

Single-pixel imaging technology is popular with invisible wavelengths and low light environments. However, the time-consuming steps hindered the development of single-pixel imaging technology. To improve imaging efficiency, a high-efficiency one-step single-pixel imaging method based on the discrete Hartley transform is proposed. The proposed method does not require a large number of fringe patterns and only requires a real-number calculation. The number of fringe patterns required for the proposed method is only half of that required for the four-step phase-shift Fourier method at the same sampling rate. Although a one-step method, it also uses the idea of differential measurements and adds upsampling processing strategies, which simultaneously improve the signal-to-noise ratio of the recovered image. The simulation shows that the peak signal-to-noise ratio and structural similarity index of the recovered target scene exceed 20 dB and 80%, respectively, when the sampling rate is 30%. Only 20 164 patterns are needed to reconstruct a (256 × 256)-pixel image. After defocusing the gray stripe pattern into a binary pattern, it only takes milliseconds to project these patterns into the target. It can be seen that the experimental results of the proposed method are significantly better than those of the two-step phase-shift method under dramatical noise interference. With the rapid development of advanced equipment, this method will represent significant progress in the real-time reconstruction of single-pixel imaging.

Highlights

Single-pixel imaging (SPI) is a computational imaging technique, which reconstructs a target scene based on the correlations between a large number of illumination patterns and the reflected modulated signals of the scene captured using a single detector
It can be seen that the noise in the single-pixel computing imaging technology mainly comes from the error generated by the projector when projecting the code pattern
This simulation experiment analyzes the effect of noise on SPI imaging and provides a theoretical basis for the noise suppression strategy proposed in the following experiment

Summary

Introduction

Single-pixel imaging (SPI) is a computational imaging technique, which reconstructs a target scene based on the correlations between a large number of illumination patterns and the reflected modulated signals of the scene captured using a single detector. This approach has a clear advantage of non-visible wavelengths and in terms of the signal-to-noise ratio (SNR).. The number of illumination patterns inevitably affects the imaging efficiency of SPI technology. Reducing the number of illumination patterns required for imaging is a solution to improve the efficiency of SPI technology. The most important question in this research field is whether the infimum of the number of illumination patterns can be reached

Methods

Results

Conclusion