论文标题
黑洞图像的拓扑数据分析
Topological Data Analysis of Black Hole Images
论文作者
论文摘要
诸如光子环，喷气机或热的功能。斑点可以在黑洞图像中留下特定的拓扑特征。因此，拓扑数据分析可用于表征电磁扇形中黑洞高分辨率观察结果（合成或真实）产生的图像。我们证明，持续的同源性允许通过计算连接的组件和一维孔的数量来自动做出此表征。此外，持续的同源性还允许从图像中提取的连接组件或直径之间的距离。为了在合成黑洞图像上应用持续的同源性，我们还引入了元素，这是一种新算法，将黑洞图像准备成适合拓扑分析的形式。
Features such as photon rings, jets, or hot. spots can leave particular topological signatures in a black hole image. As such, topological data analysis can be used to characterize images resulting from high resolution observations (synthetic or real) of black holes in the electromagnetic sector. We demonstrate that persistent homology allows for this characterization to be made automatically by counting the number of connected components and one-dimensional holes. Further, persistent homology also allows for the distance between connected components or diameter of holes to be extracted from the image. In order to apply persistent homology on synthetic black hole images, we also introduce metronization, a new algorithm to prepare black hole images into a form that is suitable for topological analysis.
