光学 精密工程, 2014, 22 (11): 3129, 网络出版: 2014-12-08   

推扫式高光谱谱间压缩感知成像与重构

Compressive sensing imaging and reconstruction of pushbroom hyperspectra
王忠良 1,2,*冯燕 1王丽 1
作者单位
1 西北工业大学 电子信息学院, 陕西 西安 710129
2 铜陵学院 电气工程系, 安徽 铜陵 244000
摘要
提出一种推扫式谱间压缩采样的高光谱成像系统, 用于实现高光谱图像的压缩感知成像, 并对该系统成像的重构算法进行了研究。在图像采集阶段, 采用棱镜对地面成像行的像素进行谱带分离, 然后利用数字微镜器件实现谱带的线性编码, 通过柱面透镜完成编码谱带的叠加。压缩采样数据重构时, 不像传统的压缩感知重构方法那样直接重构高光谱数据, 而是利用线性光谱库混合模型将重构高光谱数据转换成重构丰度系数矩阵, 采用交替方向乘子法求解丰度的优化问题, 再根据重构的丰度和高光谱库恢复原数据。与标准压缩感知重构算法的对比实验表明, 该方法在压缩采样数据为总数据的20%时, 重构的平均峰值信噪比比标准压缩感知提高了18 dB。所设计的成像系统采样方式简单, 可应用于星载或机载的高光谱压缩感知成像。
Abstract
A pushbroom spectral imaging system based on compressive sampling was established to realize compressive sensing imaging for a hyperspectral image. An image reconstruction algorithm for this system was investigated. In the image acquisition stage, the pixels of ground imaging line were separated along spectral direction by a prism. Then, the linear encoding between the spectral bands was realized by a digital micro-mirror device. Finally, the encoded spectral bands were summed by a cylindrical lens. In the reconstruction of the compressive sampled data, the traditional compressive sensing reconstruction methods which recover hyperspectral data directly were abandoned. The liner spectral library mixed models were used to convert the reconstructed hyperspectral data into reconstructed abundance fraction matrix, the alternating direction method of multipliers was used to solve the optimizing problem of abundance, and the data was recovered by using the reconstructed abundance and spectral library. The comparison experiment between standard compressive sensing reconstruction and our algorithm shows that the reconstructed average peak signal noise rate of our algorithm is improved about 18 dB than that of the standard compressive sensing when the used data are 20% that of total data. The system is suitable for the spaceborne airborne hyperspectral compressive sensing imaging for its simple sampling.

王忠良, 冯燕, 王丽. 推扫式高光谱谱间压缩感知成像与重构[J]. 光学 精密工程, 2014, 22(11): 3129. WANG Zhong-liang, FENG Yan, WANG Li. Compressive sensing imaging and reconstruction of pushbroom hyperspectra[J]. Optics and Precision Engineering, 2014, 22(11): 3129.

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