Delgado-Friedrichs, OlafRobins, VanessaSheppard, Adrian2015-12-0827 Oct - 39781479957514http://hdl.handle.net/1885/30849We develop topologically accurate and compatible definitions for the skeleton and watershed segmentation of a 3D digital object that are computed by a single algorithm. These definitions are based on a discrete gradient vector field derived from a signedMorse Theory and Persisten Homology for Toplogical Analysis of 3D Images of Complex Materials201410.1109/ICIP.2014.70259872015-12-08