We address the question of evaluating shape derivatives of objective functions for radiative-transfer engineering involving semi-transparent media. After recalling the standard Monte-Carlo approach to sensitivity estimation and its current limitations, a new method is presented for the specific case of geometrical sensitivities. This method is then tested on configurations with multiple-scattering and absorbing (non-emitting) semi-transparent medium. A new geometrical sensitivity algorithm is presented with full details in order to extend, on several examples, its implementation in complex geometries.

中文翻译：

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区域变形的蒙特卡洛和敏感度传递模型

我们解决评估涉及半透明介质的辐射传递工程目标函数的形状导数的问题。回顾了灵敏度估计的标准蒙特卡洛方法及其当前的局限性之后，针对几何灵敏度的特定情况提出了一种新方法。然后，在具有多次散射和吸收（非发射）半透明介质的配置上测试此方法。提出了一种具有完整细节的新几何敏感性算法，以便在几个示例上扩展其在复杂几何形状中的实现。