Discretization and Approximation of Surfaces Using Varifolds
Discretization and Approximation of Surfaces Using Varifolds
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使用 Varifold 进行曲面的离散化和逼近
DOI：
10.1515/geofl-2018-0004
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
S. Masnou
中科院分区：
文献类型：
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作者：
Blanche Buet;G. P. Leonardi;S. Masnou
翻译后摘要我们提出了一些最近的结果的可能性扩展的varifolds理论的领域的离散表面的任何尺寸和余维，其中强大的概念近似曲率，也允许奇点，可以定义。这个框架有应用程序的离散和计算几何，以及在离散设置的几何变分问题。最后，我们展示了一些点云的数值测试，支持并证实了我们的理论研究结果。
Abstract We present some recent results on the possibility of extending the theory of varifolds to the realm of discrete surfaces of any dimension and codimension, for which robust notions of approximate curvatures, also allowing for singularities, can be defined. This framework has applications to discrete and computational geometry, as well as to geometric variational problems in discrete settings. We finally show some numerical tests on point clouds that support and confirm our theoretical findings.