An Entropy Density Segment Compressed Sensing Method for Reflectance Spectrum Reconstruction

Based on the reference, Abstract Reflectance spectrum, as a significant characteristic of the object surface, is widely used in various fields such ask remote sensing target identification, content detection of material components, agricultural crop maturity detection, and disease diagnosis in medical imaging. However, while the reflectance spectulum enriches target information, it also brings data redundancy, causing great difficulties in acquiring processing, and transmitting spectral data. To settle these difficulties, our team has focused on spectral data analysis and processing utilizing compressed sensing technology. It was found that sparse representation of global spectral data was achieved, and spectral reconstruction accuracy was improved. Various sparsities of data in each spectral hand constrain different sampling rates in spectral compressed sensing reconstruction methods. This paper proposes an entropy density segment compressed sensing method for reflectance spectrum reconstruction. Specifically, entropy average density is defined as the segmenting reference in the search for breakpoints. the decision on whether the entropy density of each segmented spectrum is high or low can be given. After that the sampling rates of each segmented spectrum are reassigned according to the limited equid stat constraint condition. The measurement and sparse matrices are generated for sparsity sensing of segmented reflectance A spectrum. The optimal solution is obtained using the orthogonal matching pursuit algorithm, Iteration times of each segmented spectrum reassigned. Each segmented reflectance spectrum is iteratively matched and reconstructed using the columns in the sensing matrix and sparse signals. Finally, the reconstructed segmented reflectance spectrums stitched. A comparative experiment was conducted on the reflectance spectrum of the standard color block (24 Munsell ColorChecker) using the global spectral compressed sensing method and our proposed method. The experimental results show that compared with the global spectral compressed sensing method, the proposed method has higher reconstruction accuracy in high entropy depsity segments and higher compressed efficiency in low entropy density segments. RMSE and MAPE are improved under the same total compressed sampling rate, which enhances the overall curve reconstruction effect.