请帮我翻译一下这一段英文吧（400多字）,是专业文献里面的（数字图像处理）有点难度,翻译的好再追加分.

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请帮我翻译一下这一段英文吧（400多字）,是专业文献里面的（数字图像处理）有点难度,翻译的好再追加分.
我从来没有翻译过这种论文,自己翻译了一下午才译出了3000字,而且读起来很不顺畅,感觉上还是英文式的中文.我想请教一下专业的朋友,这段到底该怎样翻译,我想仿照您给翻译的风格继续翻译下去.
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Integrating this process along a ray emerging from the
viewer, in the case of a spatially varying β , gives
t=exp(-∫β(r(s))ds), (1)
where r is an arc-length parametrization of the ray. The fraction t is called the transmission and expresses the relative portion of light that managed to survive the entire path between the observer and a surface point in the scene, at r(d), without being scattered. In the absence of black-body radiation the process of light scattering conserves energy, meaning that the fraction of light scattered from any particular direction is replaced by the same fraction of light scattered from all other directions. The equation that expresses this conservation law is known as the Radiative Transport Equation [Rossum and Nieuwenhuizen 1999]. Assuming that this added light i

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我帮你翻译了第二段,你看看可不可以. 第一段挺专业的,我的水平只能看懂还翻译不到那么好...L(x)=t(x)J(x) + (1-t(x))A (2)这个公式是在RGB三元色的基础上定义的. 其中的I 代表被观察图像. A是空气光的色彩向量. J是...