使用Voronoi图对流场拓扑区域进行划分

特征可视化中的拓扑结构分析法,能够快速的显示流场的全局结构,在侧重于考虑流场的特殊结构时显示出了较大的优越性。但是在很多情况下,仅仅显示流场的结构还不够,还需要更详细的知道拓扑场中每个区域的作用范围。传统的方法都是根据特征矢量的虚部来判断拓扑区域的作用范围,这种方法太过于概括,区域大小只是相对的,没有考虑到附近临界点对周围流体运动的影响。为了能更真实的反映临界点对周围流运动的影响,论文提出使用Voronoi图来划分拓扑区域的作用范围,并将该方法应用于海洋流场。同时也与传统的特征矢量方法进行了对比,实验表明,取得了较好的效果。

Division of Flow Field Topological Regions through Voronoi Diagram

Topology analysis method of feature-based visualization can show quickly the overall structure of flow field,and is of a greater superiority in focusing on the special structure of the flow field.However,in many cases,it is not enough to only show the structure of the flow field,we also want to know the topological region in detail.Traditional methods to determine the topological region are based on the imaginary part of feature vector,but these approaches are too general,and,because the area size is only relative,it doesn’t consider the impact of the near critical points to the surrounding fluid.In order to show truly the impact of the critical points to around flow movement,Voronoi diagram is proposed to divide the topological region,and the method has been applied to ocean flow fields.Compared to the traditional feature vectors method and proved through experiments,it can achieve better results.