Continuous topology simplification of planar vector fields
Continuous topology simplification of planar vector fields
复制标题
平面矢量场的连续拓扑简化
DOI：
10.1109/visual.2001.964507
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
H. Hagen
中科院分区：
文献类型：
--
作者：
X. Tricoche;G. Scheuermann;H. Hagen
矢量场可以呈现复杂的结构行为，特别是在湍流计算流体动力学中。这些数据集的拓扑分析减少了信息，但通常仍然留下太多的细节来解释。在本文中，我们提出了一种简化的方法，删除对关键点的数据集，相关性措施的基础上。与早期的方法相比，不需要网格变化，因为整个方法使用定义向量场的向量值的小的局部变化。在分叉方面的解释强调了算法的连续性和自然性。
Vector fields can present complex structural behavior, especially in turbulent computational fluid dynamics. The topological analysis of these data sets reduces the information, but one is usually still left with too many details for interpretation. In this paper, we present a simplification approach that removes pairs of critical points from the data set, based on relevance measures. In contrast to earlier methods, no grid changes are necessary, since the whole method uses small local changes of the vector values defining the vector field. An interpretation in terms of bifurcations underlines the continuous, natural flavor of the algorithm.