Algorithms Converting Streamline Topologies for 2D Hamiltonian Vector Fields Using Reeb Graphs and Persistent Homology

Tomoki Uda, Tomoo Yokoyama, Takashi Sakajo
2019 Nihon Oyo Suri Gakkai ronbunshi  
Sakajo and Yokoyama have shown that any streamline topology for a 2D Hamiltonian vector field is uniquely represented by a sequence of letters. Although a conversion algorithm has been provided conceptually in these papers, its real implementation is difficult, since we need to identify a component of streamline topologies visually. In this paper, we realize a new procedure implementable to the conversion algorithm on computers through Reeb graph representations of Hamiltonian functions and
more » ... action of specific streamline topologies using persistent homology. ─ 23 ─
doi:10.11540/jsiamt.29.2_187 fatcat:4b46527zyffoxbgtixdkgnqfvm