As study first author Fei Jiang explains, "In the proposed method, complex pore geometry is first transformed into sphere cloud data. Then, a persistence diagram is calculated from the point cloud.

The key ingredient is the persistence diagram, which is an expression of the persistent homology. We prove the strong law of large numbers for persistence diagrams as the window size tends to infinity ...

Based on this, we provide an asymptotic theory to make inference about the persistence of shape features. The resulting circular mode persistence diagram is applied to the analysis of early ...

In a fusion of mathematics and earth science, researchers in Japan proposed a novel method for characterizing pore geometry in rock, based on persistence diagram analysis and a newly proposed ...