Construction of Topologically Correct and Manifold Isosurfaces
Construction of Topologically Correct and Manifold Isosurfaces
复制标题
拓扑正确的流形等值面的构建
DOI：
10.1111/cgf.12975
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发表时间：
2016
影响因子：
2.5
通讯作者：
R. Grosso
中科院分区：
文献类型：
--
作者：
R. Grosso
我们给出了一种简单的方法来描述几何，并对三线性插值法的水平集与参考单元的交集进行了拓扑分类。三个二次方程的解被用来正确地三角剖分满足渐近判定条件的单元内的水平集。这样，跨单元边界的等值曲面的三角剖分是多种多样的，并且在拓扑上是正确的。该算法直观，易于实现。
We present a simple method to describe the geometry and topologically classify the intersection of level sets of trilinear interpolants with a reference unit cell. The solutions of three quadratic equations are used to correctly triangulate the level set within the cell satisfying the conditions imposed by the asymptotic decider. This way the triangulation of isosurfaces across cells borders is manifold and topologically correct. The algorithm presented is intuitive and easy to implement.