论文标题
自动编码器的可视化莫尔斯综合体集合的可视化
Autoencoder-Aided Visualization of Collections of Morse Complexes
论文作者
论文摘要
尽管对使用Morse络合物分析单个标量场进行了很好的研究，但很少有能够可视化摩尔斯复合物集合的技术。我们专注于通过将Morse复合物视为嵌入式域分解来启用的分析。具体而言，我们针对2D标量字段，并通过分解边界的二进制图像编码Morse复合物。然后，我们使用基于图像的自动编码器为Morse复合物创建功能空间。我们将其他维度降低方法应用于构造散点图作为特征空间的视觉接口。这使我们能够通过与散点图的相互作用来研究与收集相关的单个摩尔斯复合物。我们使用合成数据集，显微镜图像和随时间变化的涡度幅度场进行了演示。通过这些，我们表明我们的方法可以在收集摩尔斯的复合物中产生有关结构的见解。
Though analyzing a single scalar field using Morse complexes is well studied, there are few techniques for visualizing a collection of Morse complexes. We focus on analyses that are enabled by looking at a Morse complex as an embedded domain decomposition. Specifically, we target 2D scalar fields, and we encode the Morse complex through binary images of the boundaries of decomposition. Then we use image-based autoencoders to create a feature space for the Morse complexes. We apply additional dimensionality reduction methods to construct a scatterplot as a visual interface of the feature space. This allows us to investigate individual Morse complexes, as they relate to the collection, through interaction with the scatterplot. We demonstrate our approach using a synthetic data set, microscopy images, and time-varying vorticity magnitude fields of flow. Through these, we show that our method can produce insights about structures within the collection of Morse complexes.
