基于压缩感知和正交调制的图像分块重建  

Block Reconstruction of Object Image Based on Compressed Sensing and Orthogonal Modulation

作　　者：周媛媛 周昕[1] 张罗致[1] 霍东明 李金玺 ZHOU Yuan-yuan, ZHOU Xin ,ZHANG Luo-zhi, HUO Dong-ming ,LI Jin-xi(College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China)

机构地区：[1]四川大学电子信息学院,四川成都610065

出　　处：《光学与光电技术》2018年第2期14-19,共6页Optics & Optoelectronic Technology

基　　金：国家自然科学基金(61475104;61177009)资助项目

摘　　要：为解决多幅分块图像在图像重建和加密等方面存在运算量巨大的局限性,提出了基于压缩感知和正交调制实现图像分块重建的新方法。该方法将单幅图像按需要均分为若干块,对于每一个块图像分别进行压缩感知的采集过程,再将采集的测量值和正交基矩阵相乘完成正交调制。当需要从总数据中恢复部分信息时,只要乘以与待恢复部分相应的正交基矩阵的转置,便可提取出需要恢复的块图像测量值。最后利用正交匹配追踪算法进行重建运算。实验结果表明,在采样率为30%左右时,可以精确重建出原始图像,且加密安全性高。In order to solve the limitations of image block reconstruction and encryption, a block reconstruction method of the object image based on compressed sensing（ CS ） and orthogonal modulation is presented. In this method, an im age is divided into several blocks according to the need. For each block image, the image acquisition process of com pressed sensing is carried out, then the measurements and the orthogonal basis matrix are used to complete the orthogo- nal modulation. When sectional information needs to be recovered from the total data, the measurements of the corre sponding block can be extracted by the use of orthogonal basis matrix. Finally, the algorithm of orthogonal matching pursuit is implemented for reconstruction operation. The experimental results show that the method can be used to re construct the block image accurately when the sampling rate is around 30%, and the encryption security is high.

关 键 词：分块重建 压缩感知 正交调制 图像加密 动态投影 

分 类 号：TN911.73[电子电信—通信与信息系统]