基于水体退化函数补偿方法的水下傅里叶单像素成像

水下光学成像的探测环境相对复杂。前向散射、后向散射和吸收极大地降低了水下光学成像的成像质量。单像素成像因其较高的抗噪声性而被认为是一种适合于水下光学成像的技术。对于水下单像素成像系统，目前存在的问题是需要采用结构光进行照明，当散斑在水下传播时，前向散射会使预先生成的散斑发生畸变。因此，重建结果的分辨率降低，重建结果模糊不清。为了减小前向散射对单像素成像系统的影响，对傅里叶单像素成像的重建过程进行改进。在空间谱域傅里叶单像素成像系统的水下退化函数进行估计，然后根据估计的退化函数实现目标空间谱反演。最后利用傅里叶变换对反演后的目标空间谱进行变换，最终获得目标的强度图像。理论分析和实验结果证明了该方法的有效性。利用该方法，能够有效地减小前向散射对成像质量的影响，提高了水下傅里叶单像元成像的重建结果质量。

Underwater Fourier single pixel imaging based on water degradation function compensation method

The detection environment of underwater optical imaging is relatively complex. The forward scattering, back scattering and absorption greatly reduce the imaging quality of underwater optical imaging. Single pixel imaging is considered to be a suitable technique for underwater optical imaging because of its high noise resistance. The serious problem of underwater single pixel imaging system is that the structural light is required for illumination, and the forward scattering distorts the pre-generated speckle, when the speckle travels underwater. Therefore, the resolution of the reconstruction results decreases, making the reconstruction results blurry. In order to reduce the influence of the forward scattering on single pixel system, the reconstruction process of Fourier single pixel imaging should be improved. Underwater degradation function of Fourier single pixel imaging system was estimated in the spectrum domain, and then target spatial spectrum inversion was implemented based on the estimated degradation function. The image of the target can be obtained by transforming the target spatial spectrum with Fourier transform. The validity of the proposed method was proved by theoretical analysis and experimental results. Utilizing the proposed method, the influence of the forward scattering was reduced and the quality of reconstruction results of underwater Fourier single pixel imaging was improved.