应用压缩传感理论的单像素相机成像系统

采用稀疏二进制矩阵作为测量矩阵完成了单像素相机对不同场景的拍摄。基于压缩传感理论设计的单像素相机,利用数字微镜阵列和单个探测元件实现高分辨率图像的拍摄,将图像采集和压缩合二为一,减少了数据,降低了系统规模、复杂度和成本。对测量矩阵进行了分析,给出了二进制测量矩阵精确重构条件。搭建了硬件实验平台,采用稀疏二进制测量矩阵,对笔划复杂度不同的"中"字、"国"字和复杂实物这3种不同的场景进行了拍摄实验,利用梯度投影重构算法重构出目标图像,图像分辨率为数字微镜阵列大小。实验结果显示,对于3种不同场景,在测量次数为目标图像像素总数的20%～30%时,能精确重构出目标图像,表明单像素相机能实现高分辨率图像的拍摄。

Imaging system of single pixel camera based on compressed sensing

A single pixel camera was used to shoot different scenes by taking a sparse binary matrix as the measurement matrix. The single pixel camera based on compressed sensing theory could acquire a high resolution image by using a Digital Micromirror Device (DMD) and a single detector. It captured and compressed the picture simultaneously, so that the data amount, scale, complexity and the cost of the system were reduced greatly. In this paper, the effect of measurement matrix upon the precise of reconstructed picture was analyzed, and the condition to reconstruct the binary matrix for object picture precisely was given. An experimental platform was established and imaging experiments under three different scenes were performed for different strokes of the words “China” and complex real objects using sparse binary measurement matrix. The picture with the picture resolution of as large as the size of the DMD was reconstructed by gradient projection algorithm. Experiment results indicate that single pixel camera could reconstruct the image precisely when the number of measurements are 20%~30% of the total number of pixels for the object image. It concludes that the single pixel camera can acquire high resolution images.