论文标题
持续的同源性分析，用于铁矿石烧结物的3D体素数据的非负矩阵分解
Persistent homology analysis with nonnegative matrix factorization for 3D voxel data of iron ore sinters
论文作者
论文摘要
本文提出了一种使用持续同源性和非负矩阵分解的数据分析方法。串联持久图像技术用于从隐藏在数据后面的不同维度的持久图中提取共存的结构。为了证明我们的方法的潜力，我们将方法应用于通过X射线计算机断层扫描获得的铁矿石烧伤的3D体素数据。该分析成功捕获了这些铁矿石烧结中的共存结构。
This paper proposes a data analysis method using persistent homology and nonnegative matrix factorization. A concatenated persistence image technique is used to extract coexisting structures from the persistence diagrams of different dimensions hidden behind the data. To demonstrate the potential of our method, we apply the method to 3D voxel data of iron ore sinters obtained by X-ray computed tomography. The analysis successfully captures the coexistence structures in these iron ore sinters.
