Identification and Classification of Off-Vertex Critical Points for Contour Tree Construction on Unstructured Meshes of Hexahedra.
Identification and Classification of Off-Vertex Critical Points for Contour Tree Construction on Unstructured Meshes of Hexahedra.
复制标题
六面体非结构化网格上轮廓树构建的非顶点临界点的识别和分类。
DOI：
10.1109/tvcg.2021.3074438
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发表时间：
2022
影响因子：
5.2
通讯作者：
Koch MK
中科院分区：
文献类型：
--
作者：
Koch MK
等值面的拓扑在临界点的等值处发生变化，这使得这些点成为构建等高线树或Morse-Smear复合体的重要特征。具有线性内插的六面体单元可以在单元体和单元面上包含额外的非顶点临界点。此外，六面体表面上的点在元素局部上下文中是关键的，而在全局上下文中不一定是关键的。Weberet等人。(2002)引入了一种方法来确定人脸上的临界点在全局环境中是否也是关键的，该方法基于渐近判决器(G.M.Nielson和B.Hamann)(1991)在共享人脸的每个元素中的梯度。然而，正如所定义的那样，Weberet等人的方法包含错误，并且可能导致不正确的结果。在这项工作中，我们纠正了这个错误。
The topology of isosurfaces changes at isovalues of critical points, making such points an important feature when building contour trees or Morse-Smale complexes. Hexahedral elements with linear interpolants can contain additional off-vertex critical points in element bodies and on element faces. Moreover, a point on the face of a hexahedron which is critical in the element-local context is not necessarily critical in the global context. Weberet al. (2002)introduce a method to determine whether critical points on faces are also critical in the global context, based on the gradient of the asymptotic decider (G. M. Nielson and B. Hamann) (1991) in each element that shares the face. However, as defined, the method of Weberet al.contains an error, and can lead to incorrect results. In this work we correct the error.