Neural Radiance Fields employ simple volume rendering as a way to overcome the challenges of differentiating through ray-triangle intersections by leveraging a probabilistic notion of visibility. This is achieved by assuming the scene is composed by a cloud of light-emitting particles whose density changes in space. This technical report summarizes the derivations for differentiable volume rendering. It is a condensed version of previous reports, but rewritten in the context of NeRF, and adopting its commonly used notation.

翻译：神经辐射场采用简单的体积转换,作为克服通过光三角交叉点进行区分的挑战的一种方法,利用一种概率性的可见度概念。这通过假设场景是由光源粒子云组成的,其密度在空间中的变化。本技术报告总结了不同体积生成的出处。它是以前报告的缩略版,但改写为NeRF,并采用其常用的符号来完成。