Persistence diagrams as morphological signatures of cells: A method to measure and compare cells within a population
Fig 14
Sensitivity of the PH distance to the position of the nucleus centre used as a focal point to the radial function.
Pairwise distances between cell contours of the X1Y1 dataset were computed after perturbing the position of the nucleus randomly between [–s,s], where s is a noise level in pixel. The distances are then assessed using a ROC analysis and measured with an AUC value (see text for details). Those experiments are repeated 20 times at each noise level. Panel (A) reports the mean (dashed line) and standard deviation (shaded area) of the relative RMS change of the individual distance as a function of s, while panel (B) shows the changes in AUC values (both means, dashed lines, and standard deviations, shaded areas) at two level of granularity versus s (see text for details).