Abstract: In the visualization of time-dependent 2D vector fields, closed streamlines detection was dependent on grid and could not locate closed streamline accurately. An improved method was proposed. It tracked critical point with feature flow field and integrated stream surfaces with saddle connector. The results demonstrate that the scheme is valid in offering a general framework for the visualization of parameter-dependent 2D vector fields.

Key words: topological method, closed stream line, feature flow field, saddle connector, critical point

摘要： 分析与时间相关二维矢量场可视化的拓扑法，并针对其在检测封闭流线时依赖网格以及不能对封闭流线精确定位的问题，进行改进。通过运用特征流场对临界点跟踪以及鞍状连接符对流面积分，提出一种检测封闭流线的方法。该方法不依赖于网格，解决了封闭流线精确定位的问题。实验结果表明本文提出的算法为与参数相关二维矢量场可视化提供一个基本框架。

关键词: 拓扑法, 封闭流线, 特征流场, 鞍状连接符, 临界点