Morse Connections Graph for Shape Representation

Detecting critical regions in multidimensional data sets

“…The most popular is the Reeb graph which is used for shape modeling and analysis and surface reconstruction (see for example [25][26][27]). Differences between the Reeb graph and the MCG can be found in [13]. The main one is that unlike the MCG, the graph connection between two critical points in the Reeb graph does not necessarily correspond to the existence of a flow trajectory between them.…”

“…In Section 4, we derive conclusions related to the concept of the Morse Connections Graph (MCG) introduced in [13]. This is a graph whose nodes are critical components and whose edges display the existence of trajectories connecting them.…”