Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population
Fig 13
ROC analyses of four measures of cell geometry similarity.
We compare the effectiveness of a the aspect ratio distance (in red), the elastic shape distance (in blue) the Fourier distance (with M=10) (in purple), and PH (in black) to measure cell contour similarities in the combined dataset X1Y1. “True” relationships are defined either with a binary separation of X1 and Y1 cells, Level 1 (panel A), or with a finer set of clusters involving the four clusters of X1, the outlier X1–015 as its own cluster, and Y1 (6 clusters, Level2, panel B). Curves close to the first diagonal (such as the ROC curve for the aspect ratio distance) indicate poor performance, while the upper most curve (such as the PH-based curve) indicates good performance.