Research on Reflection Spectrum Reconstruction Algorithm Based on Compressed Sensing
ZHAO Shou-bo1,2, LI Xiu-hong1,2
1. School of Measurement and Control Technology and Communication Engineering, Harbin University of Science and Technology, Harbin 150080, China
2. Measurement and Control Technology and Instrument Key Laboratory of Heilongjiang Province, Harbin University of Science and Technology, Harbin 150080, China
Abstract：The spectral reflectance describes the surface color characteristics of the object. In order to obtain more accurate color information of the object, the spectral reflectance reconstruction in the image processing field has become a hot topic. We take the spectral reflectance as the main research target. Sequentially, we propose the algorithm which reconstructs the spectral reflectance of the measured object in the visible region to enhance the accuracy of color reproduction. This article attempts to employ compressed sensing (CS) theory in the spectral experiments to reconstruct the spectral reflectance. This article first introduces the theory of compressive sensing and then combines the theory of compressive sensing with the principle of spectral reflectance. According to the theoretical framework of spectral reflectance reconstruction based on compressed sensing. The appropriate sampling value is selected.The compressed sensing sample value is the compressed value, the wavelet base is used as the orthogonal matrix, and the Gaussian random matrix is used as the measurement matrix, the orthogonal matrix and the measurement matrix ensure irrelevance, the original spectral reflectance is linearly projected from the high dimension to the low dimension, then a low-dimensional observation signal is obtained, the simple orthogonal matching pursuit algorithm (OMP) reconstructs the low-dimensional to high-dimensional high-precision observation signals from low-dimensional observation signals, and the obtained spectral reflectance has the same dimensions as the original spectral reflectance. Finally, the compressed inverse method and the traditional spectral reflectance reconstruction algorithm are compared with thepseudo-inverse method and the polynomial regression method. The experimental results showthat the color difference and the root mean square error obtained by the compressed sensing reconstruction algorithm are smaller than the measured value of the pseudo-inverse method and the polynomial regression method, In other words, the reconstruction accuracy is significantly improved, the spectral curve reconstructed by compressed sensing can reach or be closer to the peak of the original spectral curve, which is closer to the original spectral curve on the whole visible range. The spectral curve reconstructed by the polynomial regression method and the pseudo-inverse method does not reach the original peak, and there is an overall deviation. Inconclusion, the experimental resultsshow that compressed sensing uses low-sampling data to achieve the effect of full sampling. Compressed sensing improves the accuracy of spectral reflectance reconstruction while reducing the amount of computation. The compression reconstruction effect proposed in this paper is significantly better than the traditional polynomial regression method and the pseudo-inverse method. Compressed sensing theory can be applied to practical multispectral imaging systems.
赵首博，李秀红. 基于压缩感知的反射光谱重构算法研究[J]. 光谱学与光谱分析, 2021, 41(04): 1092-1096.
ZHAO Shou-bo, LI Xiu-hong. Research on Reflection Spectrum Reconstruction Algorithm Based on Compressed Sensing. SPECTROSCOPY AND SPECTRAL ANALYSIS, 2021, 41(04): 1092-1096.
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