Evers Marina, Leistikow Simon, Rave Hennes, Linsen Lars
IEEE Trans Vis Comput Graph. 2024 Jul 24;PP. doi: 10.1109/TVCG.2024.3433001.
Sensitivity analyses of simulation ensembles determine how simulation parameters influence the simulation's outcome. Commonly, one global numerical sensitivity value is computed per simulation parameter. However, when considering 3D spatial simulations, the analysis of localized sensitivities in different spatial regions is of importance in many applications. For analyzing the spatial variation of parameter sensitivity, one needs to compute a spatial sensitivity scalar field per simulation parameter. Given $n$ simulation parameters, we obtain multi-field data consisting of $n$ scalar fields when considering all simulation parameters. We propose an interactive visual analytics solution to analyze the multi-field sensitivity data. It supports the investigation of how strongly and in what way individual parameters influence the simulation outcome, in which spatial regions this is happening, and what the interplay of the simulation parameters is. Its central component is an overview visualization of all sensitivity fields that avoids 3D occlusions by linearizing the data using an adapted scheme of data-driven space-filling curves. The spatial sensitivity values are visualized in a combination of a Horizon Graph and a line chart. We validate our approach by applying it to synthetic and real-world ensemble data.
模拟集合的敏感性分析确定了模拟参数如何影响模拟结果。通常，每个模拟参数会计算一个全局数值敏感性值。然而，在考虑三维空间模拟时，分析不同空间区域的局部敏感性在许多应用中具有重要意义。为了分析参数敏感性的空间变化，需要为每个模拟参数计算一个空间敏感性标量场。给定(n)个模拟参数，在考虑所有模拟参数时，我们会获得由(n)个标量场组成的多场数据。我们提出了一种交互式可视化分析解决方案来分析多场敏感性数据。它支持研究单个参数对模拟结果的影响程度和方式、这种影响发生在哪些空间区域以及模拟参数之间的相互作用。其核心组件是所有敏感性场的概览可视化，通过使用一种经过改进的数据驱动空间填充曲线方案对数据进行线性化处理，避免了三维遮挡。空间敏感性值通过水平图和折线图相结合的方式进行可视化。我们通过将其应用于合成数据和真实世界的集合数据来验证我们的方法。
