基于二维 DCT 的鬼成像高效目标重构

吉林大学学报(信息科学版) ›› 2020, Vol. 38 ›› Issue (2): 119-125.

基于二维 DCT 的鬼成像高效目标重构

赵群^1，2，桑爱军 ¹，栾晓利³，赵岩²，贾姗姗⁴

1．吉林大学通信工程学院，长春 130012; 2．空军通信士官学校对空通信系，辽宁大连 116600; 3．空军航空大学初级训练基地，长春 130022; 4．长春大学理学院，长春 130022

收稿日期:2019-11-08 出版日期:2020-03-24 发布日期:2020-05-20
通讯作者: 桑爱军(1973— )，女，山东莱州人，吉林大学教授，博士研究生导师，主要从事数字图像处理及单像素成像研究，(Tel)86-13504473014(E-mail)sangaj@ jlu． edu． cn。 E-mail:sangaj@ jlu． edu． cn
作者简介:赵群(1982— )，男，辽宁大连人，吉林大学硕士研究生，空军通信士官学校讲师，主要从事军事通信、图像处理研究，(Tel)86-15041116865 (E-mail)332520440@ qq． com; 通讯作者: 桑爱军(1973— )，女，山东莱州人，吉林大学教授，博士研究生导师，主要从事数字图像处理及单像素成像研究，(Tel)86-13504473014(E-mail)sangaj@ jlu． edu． cn。
基金资助:
国家自然科学基金资助项目(11347013); 吉林省省级产业创新专项基金资助项目(2018C040-4)

Efficient Object Ｒeconstruction in Ghost Imaging Based on Two-Dimensional Discrete Cosine Transform#br#

ZHAO Qun^1，2，SANG Aijun ¹，LUAN Xiaoli ³，ZHAO Yan ²，JIA Shanshan ⁴

1． College of Communication Engineering，Jilin University，Changchun 130012，China; 2． Department of Air Communication，Air Force Communications Sergeancy Academy，Dailan 116600，China; 3． Base of Primary Training，
Aviation University of Air Force，Changchun 130022，China; 4． School of Science，Changchun University，Changchun 130022，China

Received:2019-11-08 Online:2020-03-24 Published:2020-05-20

摘要/Abstract

摘要：

为提高计算鬼成像过程的整体效率和成像质量，提出应用图像处理中准最优变换的离散余弦变换

DCT(Discrete Cosine Transform)，实现对目标物体在低采样率下的鬼成像高质量图像重构。通过二维 DCT 矩阵

作为鬼成像探测矩阵，用简单乘法实现目标物体二维变换，将图像的低频信息集中在桶探测值矩阵左上角区
域。仿真和实验结果表明，基于二维 DCT 鬼成像目标重构较一维 DCT 和 Hadamard 变换，目标重构质量更高，
需要快速成像时只要 12． 5%的采样率就基本可以恢复目标。该方法实现对目标物体在低采样率下的鬼成像高
质量目标重构，便于鬼成像推广和实用化。

关键词: 通信与信息系统, 鬼成像, 离散余弦变换, 高效目标重构

Abstract: In order to improve the overall efficiency and imaging quality of ghost imaging，the DCT (Discrete
Cosine Transform) which is the quasi-optimal transform in image processing is applied to reconstruct ghost
imaging images with high quality under low sampling rate． The two-dimensional DCT matrix is used as the ghost
imaging detection matrix，and the two-dimensional transformation of the target object is realized by simple
multiplication． The low-frequency information of the image is concentrated in the upper left corner of the bucket
detection value matrix． Simulation and experimental results show that the reconstruction of ghost imaging objects
based on two-dimensional DCT is of higher quality than that based on one-dimensional DCT and Hadamard
transformation． When rapid imaging is needed，only 12． 5% sampling rate is needed to basically restore the
target． This method can reconstruct high quality ghost imaging objects with low sampling rate． It is convenient for
ghost imaging generalization and application．

Key words: , communication and information systems (CIS), ghost imaging, discrete cosine transform (DCT), efficient goal reconstruction

中图分类号:

赵群, 桑爱军, 栾晓利, 赵岩, 贾姗姗. 基于二维 DCT 的鬼成像高效目标重构[J]. 吉林大学学报(信息科学版), 2020, 38(2): 119-125.

ZHAO Qun, SANG Aijun, LUAN Xiaoli, ZHAO Yan, JIA Shanshan. Efficient Object Ｒeconstruction in Ghost Imaging Based on Two-Dimensional Discrete Cosine Transform#br#[J]. Journal of Jilin University (Information Science Edition), 2020, 38(2): 119-125.