We investigate the utility of plenoptic data for extracting information from a scene where the light from objects in the scene is viewable only after scattering from a surface such as a wall. We derive the rigorous relationship between the object and the scattered light, which is cast in terms of a system of Fredholm integral equations of the first kind with the bidirectional reflectance distribution function (BRDF) of the scattering surface; further, the object information is reconstructed by solving the equations. Based on the Fourier transformation, we propose a simple BRDF model and analyze the reconstruction errors by introducing newly defined parameters reflecting the BRDF's characteristics, i.e., the degree of specularity and the effective SNR, and obtain optimal regularized solutions under a variety of surface BRDFs. Moreover, we provide a fundamental limit of retrievable information content from the scattered light. A comparison with experimental results is reported.

中文翻译：

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使用全光数据从散射光重建光场。

我们研究了全光数据从场景中提取信息的效用，在场景中，只有从表面（如墙壁）散射后，才能看到场景中对象的光。我们推导出物体与散射光之间的严格关系，这是由第一类Fredholm积分方程组和散射表面的双向反射率分布函数（BRDF）构成的。此外，通过求解方程来重建对象信息。在傅立叶变换的基础上，我们提出了一个简单的BRDF模型，并通过引入反映BRDF特征的新定义参数（即镜面反射度和有效SNR）来分析重构误差，并在各种表面BRDF下获得最佳正则化解。此外，我们提供了从散射光中检索信息内容的基本限制。报道了与实验结果的比较。