应用光学, 2012, 33 (1): 71, 网络出版: 2012-03-30   

压缩感知理论在光学成像中的应用

Application of compressed sensing in optical imaging
作者单位
1 国防科技大学 航天与材料工程学院 湖南, 长沙 410073
2 国防科技大学 理学院,湖南 长沙 410073
摘要
压缩感知以信号的稀疏性或可压缩性为条件,以远低于耐奎斯特采样频率对信号数据进行采样和编码。简要概括了压缩感知的基本理论,它采用非自适应线性投影来保持信号的原始结构, 能通过数值最优化问题精确或高概率地重构原始信号。详细介绍了其在光学成像系统中的应用,主要包括单像素相机、超薄成像、编码孔径成像、多路技术智能成像、多光谱成像和CMOS成像等成像系统。最后对该理论的应用前景进行了阐述。
Abstract
Compressed sensing is a new sampling theory, which captures and encodes signals at a rate significantly below Nyquist rate provided that these signals are sparse or compressible. This paper reviews the theoretical framework of compressed sensing. It first employs non-adaptive linear projections to preserve the structure of the signal, and then the signal recovery is conducted accurately or in all probability by using an optimal reconstructed algorithm from these projections. Its related applications in optical imaging systems are introduced, such as single-pixel camera, super thin imagers, coded aperture imagers, multiplexing intelligent imagers, spectral imagers, and CMOS imagers. Some prospects and suggestions about further works on this theory are also presented.

肖龙龙, 刘昆, 韩大鹏, 刘吉英. 压缩感知理论在光学成像中的应用[J]. 应用光学, 2012, 33(1): 71. XIAO Long-long, LIU Kun, HAN Da-peng, LIU Ji-ying. Application of compressed sensing in optical imaging[J]. Journal of Applied Optics, 2012, 33(1): 71.

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