中文摘要：

分别从稀疏表示、编码测量以及重构算法等方面阐述了压缩感知的基本原理。基于概率、凸优化等详细介绍了图像重构模型的理论框架和发展状况,并从字典学习和低秩表示的角度展望了图像重构模型进一步研究的方向。

英文摘要：

In this paper, compressive sensing is systematically studied from the sparse representation, compressive measurement and reconstruction algorithm, and then the theoretical frame and the latest developments of the image reconstruction model are introduced in detail based on probability and convex optimization etc. Some further research directions is put forward from dictionary learning and low-rank represent.