Fast Spectral Acquisition Method Based on Compressed Sensing for Liquid Crystal Tunable Filters
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摘要: 为提高液晶可调谐滤波器（Liquid Crystal Tunable Filter, LCTF）的光谱采集效率，提出了一种适用于LCTF光谱成像系统的快速采集方法，设计构建了更加完善的观测矩阵，在压缩感知理论框架内实现了光谱超分辨率重建，并通过实验验证了该方法的可行性。实验结果表明，在采样率为18.08%（采样步长30 nm）时，重建得到的4.81 nm分辨率光谱与传统全采样光谱的相关系数为0.91，超分辨率重建峰值信噪比（Peak Signal-to-Noise Ratio, PSNR）为99.63 dB，采集速度是传统方式的5.53倍。该方法在保证光谱分辨率和光谱识别准确率的前提下，实现了光谱数据的快速和轻量化采集，为动态目标测量和快速检测提供了可行的技术途径，拓展了LCTF光谱成像技术的应用场景。Abstract: To improve the spectral acquisition efficiency of the Liquid Crystal Tunable Filter(LCTF). A fast acquisition method which could be applied to the spectral imaging system was proposed. A better observation matrix was designed and constructed. Within the theoretical framework of compressed sensing, spectral super-resolution reconstruction was made possible and the feasibility of the method was verified by experiments. The results indicated that when the sampling rate of was 18.08% (sampling step length was 30 nm), the correlation coefficient between the reconstructed 4.81 nm resolution spectrum and the traditional full sampling spectrum was 0.91, the Peak Signal-to-Noise Ratio (PSNR) of the reconstructed super resolution spectrum was 99.63 dB and the acquisition speed was 5.53 times that of the traditional method. As long as the quality of spectral recognition is ensured, this method can facilitate fast and lightweight acquisition of spectral information, which can technologically contribute to dynamic target measurement and rapid detection while improving the applicability of LCTF spectral imaging technology.
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图 1 观测模型的数学表达示意图
Figure 1. Schematic diagram of the observation model's mathematical representation
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图 3 高光谱数据采集平台及实验环境
Figure 3. Hyperspectral data acquisition platform and experimental environment
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图 6 对比选择合适的重建分辨率和采样分辨率
Figure 6. Comparison and selection the appropriate reconstruction resolution and sampling resolution
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