论文标题
通过时间尺度分析改善拉格朗日连贯结构的表征
Improved characterization of Lagrangian coherent structures through time-scale analysis
论文作者
论文摘要
拉格朗日相干结构（LCS）的计算已确立为揭示时间依赖性矢量场中重要几何结构的突出手段。但是，它们的表征需要选择合适的时间参数来构建流程图，而流量图可能未提前知道。我们在本文中介绍了LCS提取和可视化的连续时间尺度框架。具体而言，我们将时轴视为连续体，从该连续体中，在每个空间位置自动确定最佳的时间尺度，以提取LC。除了其在矢量场的有效性之外，我们表明该方法可以成功地用于改善张量场和离散图中显着结构的表征。我们将方法的应用介绍在跨越流体动力学，医学成像和轨道力学的问题上。结果表明，我们的方法可以揭示现有LCS提取方法遗漏的重要结构特征。
The computation of Lagrangian coherent structures (LCS) has established itself as a prominent means to reveal significant geometric structures in time-dependent vector fields. Their characterization, however, requires the selection of a suitable time parameter for the construction of the flow map that may not be known in advance. We present in this paper a continuous time-scale framework for LCS extraction and visualization. Specifically, we treat the time axis as a continuum from which a best temporal scale is automatically determined at each spatial location for the extraction of LCS. Beyond its effectiveness with vector fields we show that this method can be successfully applied to improve the characterization of salient structures in tensor fields and discrete maps. We present applications of our method to problems spanning fluid dynamics, medical imaging, and orbital mechanics. The results show that our approach can reveal important structural features that are missed by existing LCS extraction methods.
