Comparing Morse Complexes Using Optimal Transport: An Experimental Study
Comparing Morse Complexes Using Optimal Transport: An Experimental Study
Morse complexes and Morse-Smale complexes are topological descriptors popular in topology-based visualization. Comparing these complexes plays an important role in their applications in feature correspondences, feature tracking, symmetry detection, and uncertainty visualization. Leveraging recent advances in optimal transport, we apply a class of optimal transport distances to the comparative analysis …