Bijective Projection in a Shell
Bijective Projection in a Shell
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DOI：
10.1145/3414685.3417769
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发表时间：
2020-12-01
影响因子：
6.2
通讯作者：
Panozzo, Daniele
中科院分区：
文献类型：
--
作者：
Jiang, Zhongshi;Schneider, Teseo;Panozzo, Daniele
我们介绍了一种算法，将一个自交自由，定向，和流形三角形网格T到一个广义棱柱壳配备了一个双射投影算子映射T到一类离散曲面壳内的法线满足一个简单的局部条件。属性可以鲁棒和有效地转移这些表面之间使用的棱柱层作为一个共同的参数化domain.The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容易在许多下游应用程序中使用，包括偏微分方程的解决方案，位移映射合成，布尔运算，四面体网格，几何纹理，嵌套笼。
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.