Analyzing the effects of ocean eddies is important in oceanology for gaining insights into transport of energy and biogeochemical particles. We present an application of statistical visualization algorithms for the analysis of the Red Sea eddy simulation ensemble. Specifically, we demonstrate the applications of statistical volume rendering and statistical Morse complex summary maps to a velocity magnitude field for studying the eddy positions in the flow dataset. In statistical volume rendering, we model per-voxel data uncertainty using noise models, such as parametric and nonparametric, and study the propagation of uncertainty into the volume rendering pipeline. In the statistical Morse complex summary maps, we derive histograms charactering uncertainty of gradient flow destinations to understand Morse complex topological variations across the ensemble. We demonstrate the utility of our statistical visualizations for an effective analysis of the potential eddy positions and their spatial uncertainty.

中文翻译：

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用于可视化红海涡流模拟数据的统计渲染

分析海洋涡流的影响在海洋学中对于深入了解能量和生物地球化学粒子的传输非常重要。我们提出了一种用于分析红海涡流模拟集合的统计可视化算法的应用。具体来说，我们展示了统计体积渲染和统计莫尔斯复数汇总图在速度幅度场中的应用，以研究流动数据集中的涡流位置。在统计体绘制中，我们使用噪声模型（如参数和非参数）对每个体素数据的不确定性进行建模，并研究不确定性在体绘制管道中的传播。在统计莫尔斯复数汇总图中，我们推导出表征梯度流目的地不确定性的直方图，以了解整个集成的莫尔斯复杂拓扑变化。我们展示了我们的统计可视化在有效分析潜在涡流位置及其空间不确定性方面的效用。