水下光场的迭代求解 -

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水下光场的迭代求解

doi:10.37188/CO.2021-0162

华中光电技术研究所—武汉光电国家研究中心, 湖北武汉 430223

基金项目:船舶重工装备预研联合基金（No. 6141B042006）

详细信息

作者简介:
何大华（1973—），男，湖北武汉人，博士，高级工程师，1995年于上海交通大学获得学士学位，2000年于华中理工大学获得硕士学位，2005年于华中科技大学获得博士学位，主要从事水下光电成像及图像处理方面的研究。E-mail:470444534@qq.com

中图分类号:TN29；O435.1；O436.2
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- 被引次数:0
出版历程
- 收稿日期:2021-08-23
- 录用日期:2021-12-20
- 修回日期:2021-09-25
- 网络出版日期:2021-12-24
- 刊出日期:2022-03-21

Iterative solution of underwater scattering light field

Huazhong Institute of Electro-Optics – Wuhan National Laboratory for Optoelectronics, Wuhan 430223, China

Funds:Sponsored by China Shipbuilding Industry Corporation Joint fund for Equipment Pre-Research（No. 6141B042006）

More Information

Corresponding author:470444534@qq.com

摘要

摘要:水体对光线的散射是水下图像质量劣化的重要因素，为了定量分析在特定光源照射下水体散射的影响，建立了光线水下传输的散射模型，以此为基础推导出求解水下光场分布的Fredholm积分方程。在水中光线能量随距离的增大呈指数规律衰减，基于此，在水体体散射函数为常数的情况下，给出了有边界条件时该积分方程的数值迭代求解方法，得到高精度的水下光场分布。以太阳、均匀亮度天空、水下点光源以及空中点光源为例，分别给出了水面平静时的水下光场的计算结果。该求解方法可推广应用于任意光源配置、任意边界条件下的水下光场分布，为严格推导水体点扩展函数及调制传递函数奠定了基础。
- 水下光电成像/
- 水下光场/
- 球面照度/
- 体散射函数/
- Fredholm积分方程/
- 数值计算
Abstract:The scattering of light by water is an important factor in the deterioration of underwater image quality. In order to quantitatively analyze the influence of water scattering under the irradiation of a specific light source, the scattering model of underwater light transmission is established, and the Fredholm integral equation for solving the distribution of underwater light field is derived. Under conditions where the light energy underwater decays exponentially with an increase in distance and the volume scattering function of the water is constant, the numerical iterative solution method of the integral equation with boundary conditions is given and the high-precision underwater light field distribution can be obtained. Taking the sun, uniform sky brightness, and underwater and overwater point light sources as examples, the calculation results of their underwater light fields when the water surface is calm are given. This method can be extended to solve the distribution of underwater light fields under arbitrary light source configurations and arbitrary boundary conditions, which lays a foundation for strictly deriving a point spread function and modulation transfer function for water bodies.
- underwater optical imaging/
- underwater light field/
- spherical illuminance/
- volume scattering function/
- Fredholm integral equation/
- numerical calculation

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图 1水下光场示意图

Figure 1.Diagram of the underwater light field

下载: 全尺寸图片幻灯片

图 2太阳照射下的水下光场

Figure 2.Underwater light field from the sun

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图 3水下球面照度形成原理

Figure 3.Formation of underwater spherical illuminance

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图 4水下光场迭代求解流程图

Figure 4.Iterative solution flow chart of the underwater light field

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图 5太阳照射下水下光场迭代曲线

Figure 5.Iteration curves of the underwater light field from the sun

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图 6天空背景在水面形成照度

Figure 6.Illuminance on the surface with the sky as the background

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图 7天空背景照射下水下光场迭代曲线

Figure 7.Iteration curves of the underwater light field with the sky as the background

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图 8水下点光源形成的水下初始光场

Figure 8.Underwater initial light field by an underwater point light source

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图 9水上点光源形成的水下初始光场

Figure 9.Underwater initial light field by an overwater point light source

下载: 全尺寸图片幻灯片

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