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摘要:
水体对光线的多次散射会形成水下光场，水下光场的存在使水下光电成像质量显著恶化。为了对水下光电图像质量退化进行定量分析，需要研究水下光场分布，建立严格的水下图像传输模型。假定水体体散射函数(VSF)为球形对称，首先计算出理想点光源的水下光场分布，然后通过沿路径的亮度积分得到水体点扩展函数(PSF)，最后借助于球谐函数与球面卷积等数学工具推导出球面空间中的水体调制传递函数(MTF)。在已知水体固有光学参数下，给出了水体调制传递函数以及对比度极限因子的图象。该算法模型解决了球形体散射函数条件下的水体调制传递函数推导问题，为解决非球形体散射函数及动态光场条件下水体调制传递函数的推导问题奠定了基础。
Abstract:The quality of underwater imaging significantly deteriorates due to underwater light field which caused by multiple scattering of water. In order to quantitatively analyze the quality degradation of underwater image, it is necessary to study the distribution of underwater light field and establish a strict underwater image transmission model. Assuming that water vdumn scattering function (VSF) is spherical symmetry, underwater light field distribution formed by an ideal point light source is calculated, and then water point spread function (PSF) is obtained by brightness integral along the path. Finally, water modulation transfer function (MTF) in the spherical space is derived by means of mathematical tools such as spherical harmonic function and spherical convolution. Under the condition that the intrinsic optical parameters of water are known, curves of water MTF and contrast limit factor are presented. The algorithm model solves the derivation of water MTF under the condition of spherical water VSF, and this lays a foundation for the derivation of water MTF under the condition of non spherical water VSF and dynamic light field.
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图 2 点光源形成的水下光场（c=0.1/m, b=0.05/m）
Figure 2. Underwater light field formed by point light source (c=0.1/m, b=0.05/m)
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