大学物理 ›› 2020, Vol. 39 ›› Issue (8): 21-24.doi: 10.16854 /j.cnki.1000-0712.190592

• 物理实验 • 上一篇    下一篇

基于Hadamard 基的欠采样计算鬼成像

宋新兵   

  1. 北京理工大学物理学院,北京100081
  • 收稿日期:2019-12-29 修回日期:2020-02-22 出版日期:2020-08-20 发布日期:2020-09-07
  • 作者简介:宋新兵( 1983—) ,男,山东淄博人,北京理工大学物理学院讲师,博士,主要从事大学物理实验教学和关联成像研究工作.
  • 基金资助:
    国家自然科学基金( 11504271)资助

Undersampling computational ghost imaging with Hadamard basis

SONG Xin-bing   

  1. School of Physics,Beijing Institute of Technology,Beijing 100081,China
  • Received:2019-12-29 Revised:2020-02-22 Online:2020-08-20 Published:2020-09-07

摘要: 计算鬼成像具有单像素和成像系统配置成本低廉等特点,是近年来光学成像领域的研究热点之一.与传统的计算鬼

成像不同,本文研究了在欠采样条件下的计算鬼成像———基于Hadamard 基的计算鬼成像.首先给出了成像方法的理论和实验

装置,接着详细研究并分析了四种欠采样条件下的成像结果.实验结果表明在欠采样条件下存在重影及边缘失真等现象,但有

趣的是出现正负像.这是源于Hadamard 掩模的规律性调制分布.该结果一方面有助于增进对计算鬼成像和正负像物理机制的

理解,另一方面对远距离成像中物体成像边缘信息及失真问题的分析具有指导意义.

关键词: 计算鬼成像, Hadamard 矩阵, 欠采样

Abstract: Computational ghost imaging is a hot topic in the field of optical imaging due to its characteristics of

single pixel and low imaging cost. Distinguished from conventionally computational ghost imaging,in this paper,a

computational ghost imaging based on Hadamard matrix under the condition of under-sampling is investigated. The

theory and experimental setup are presented,and then the imaging results for four under sampling cases are analyzed.

The experimental results show that,under different sampling conditions,imaging duplication and edge distortion

emerge,however,what’s intriguing is that positive and negative images could be found. These phenomena arise

from the regular modulated distribution of Hadamard masks. The results achieved herein are not only helpful in

deepening the understanding of computational ghost imaging,but also are valuable for the analysis of the imaging

edge distortion in the long-distance imaging.

Key words: computational ghost imaging, Hadamard matrix, under-sampling