托普利兹-循环块相位掩膜矩阵压缩成像  

Compressive Imaging Using Toeplitz-circulant-block Phase Mask Matrices

作　　者：张成[1] 杨海蓉[1] 韦穗[1] 

机构地区：[1]安徽大学计算智能与信号处理重点实验室,合肥230039

出　　处：《光子学报》2011年第9期1322-1327,共6页Acta Photonica Sinica

基　　金：国家自然科学基金(No.60872106);安徽大学青年科学研究基金(No.kjqn1010);高校省级自然科学研究项目(No.KJ2010B017)资助

摘　　要：在托普利兹和循环矩阵的基础上,提出一种新的托普利兹-循环块相位掩膜矩阵可压缩双透镜成像方法.模拟实验结果表明:新的相位掩膜矩阵压缩成像可以在显著减少测量的同时,有效地捕获图像信息来重建原始图像;新相位掩膜矩阵的研究为确定性测量在压缩成像领域的应用提供了更多的支撑,在拥有原托普利兹和循环确定性测量优点的同时,还拥有自身的块结构特点,可以进一步减少物理实现成本,为新的照相机的设计提供若干理论、计算和技术支撑.Toeplitz-Circulant-Block phase mask matrices are proposed to implement image acquisition based on Toeplitz and Circulant matrices. Simulation results show that novel phase mask matrices can effectively capture the information of image with a significant reduction of measurements. The new research of phase mask matrices provides more supports for deterministic measurement in the application of compressive imaging. Due to its specific structure, the proposed matrices have more advantages than Toeplitz and Circulant matrices, reduce the difficulty and costs of the physical realization, and provide some theoretical, computing and technical support for new design of camera.

关 键 词：压缩传感 压缩成像 相位掩膜 确定性测量 托普利兹-循环块矩阵 

分 类 号：TN911.74[电子电信—通信与信息系统]