基于拓扑的多中心气旋特征设计与跟踪
Topology-Based Feature Design and Tracking for Multi-Center Cyclones
摘要：
在本文中，我们提出了一个概念，设计，跟踪和比较特定于应用程序的功能定义表示为一组关键点。我们的工作一直受到启发的观察，在许多应用程序中，大量的各种不同的功能定义相同的概念被使用。这些定义往往相互竞争，不清楚在何种情况下应使用何种定义。一个突出的例子是气候研究中对气旋的定义。尽管存在差异，但这些特征定义通常与拓扑概念相关。在我们的方法中，我们提供了一个气旋跟踪框架，支持交互式功能定义和比较的基础上预先计算的跟踪图，存储所有极值点以及它们的时间对应。该框架结合了一组独立的构建块：临界点提取，临界点跟踪，特征定义和轨迹探索。这种方法的主要优点之一是它提供了灵活性，即每个块都是可交换的。此外，它还使我们能够执行最昂贵的分析，构建一个完整的跟踪图，作为一个预先处理的步骤，同时保持特征定义的交互性。不同的特征定义可以基于这个跟踪图进行交互式探索和比较。特征由用于对临界点进行分组的规则指定，而特征跟踪对应于通过特定请求过滤和查询完整的跟踪图。我们证明了这种方法的气旋识别和跟踪的气候研究的背景下。
英文摘要：
In this paper, we propose a concept to design, track, and compare application-specific feature definitions expressed as sets of critical points. Our work has been inspired by the observation that in many applications a large variety of different feature definitions for the same concept are used. Often, these definitions compete with each other and it is unclear which definition should be used in which context. A prominent example is the definition of cyclones in climate research. Despite the differences, frequently these feature definitions can be related to topological concepts. In our approach, we provide a cyclone tracking framework that supports interactive feature definition and comparison based on a precomputed tracking graph that stores all extremal points as well as their temporal correspondents. The framework combines a set of independent building blocks: critical point extraction, critical point tracking, feature definition, and track exploration. One of the major advantages of such an approach is the flexibility it provides, that is, each block is exchangeable. Moreover, it also enables us to perform the most expensive analysis, the construction of a full tracking graph, as a prepossessing step, while keeping the feature definition interactive. Different feature definitions can be explored and compared interactively based on this tracking graph. Features are specified by rules for grouping critical points, while feature tracking corresponds to filtering and querying the full tracking graph by specific requests. We demonstrate this method for cyclone identification and tracking in the context of climate research.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
