We introduce an algorithm to convert a self-intersection free, orientable, and manifold triangle mesh T into a generalized prismatic shell equipped with a bijective projection operator to map T to a class of discrete surfaces contained within the shell whose normals satisfy a simple local condition. Properties can be robustly and efficiently transferred between these surfaces using the prismatic layer as a common parametrization domain. The combination of the prismatic shell construction and corresponding projection operator is a robust building block readily usable in many downstream applications, including the solution of PDEs, displacement maps synthesis, Boolean operations, tetrahedral meshing, geometric textures, and nested cages.

中文翻译：

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壳中的双射投影

我们介绍了一种算法来转换自相交自由、可定向和流形三角形网格吨成一个广义棱柱壳配备双射投影算子来映射吨到壳内包含的一类离散曲面，其法线满足简单的局部条件。使用棱柱层作为公共参数化域，可以在这些表面之间稳健有效地传递属性。棱柱壳结构和相应的投影算子的组合是一个强大的构建块，可在许多下游应用中轻松使用，包括 PDE 的解决方案、位移图合成、布尔运算、四面体网格划分、几何纹理和嵌套笼。