光学学报, 2011, 31 (8): 0811001, 网络出版: 2011-07-29
循环托普利兹块相位掩模可压缩双透镜成像
Compressive Double-Lens Imaging Using Circulant-Toeplitz-Block Phase Mask
图像处理 相位掩模 压缩传感 压缩成像 确定性测量 循环托普利兹块矩阵 image processing phase mask compressive sensing compressive imaging deterministic measurement circulant-Toeplitz-block matrix
摘要
压缩成像是压缩传感理论的重要应用领域之一,可以用比Nyquist测量数目少的测量值捕获充分信息重建稀疏或可压缩图像。在研究现有的压缩成像方法的基础上,给出一种新的循环托普利兹块相位掩模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模矩阵成像方法可以在欠采样的情况下有效地获得图像信息来重建原始图像。新方法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。
Abstract
Compressive imaging is an important application of the theory of compressive sensing, which can capture sufficient information of sparse/compressible image for reconstruction with fewer measurements than Nyquist samples. Taking advantage of the existing compressive imaging methods, a novel methodcompressive double-lens imaging using circulant-Toeplitz-block phase mask is proposed. Simulation results show that the novel phase mask matrices imaging method can effectively capture the information of image for image reconstruction with subsamples. The research of new imaging method provides more supports for deterministic measurement in the application of compressive imaging, which, due to its specific structure, has more advantages than Toeplitz and circulant matrices, and reduces the difficulty and costs of the physical realization.
张成, 杨海蓉, 韦穗. 循环托普利兹块相位掩模可压缩双透镜成像[J]. 光学学报, 2011, 31(8): 0811001. Zhang Cheng, Yang Hairong, Wei Sui. Compressive Double-Lens Imaging Using Circulant-Toeplitz-Block Phase Mask[J]. Acta Optica Sinica, 2011, 31(8): 0811001.