Tracking of Morse sets for 2D bounded time‐dependent vector fields
Longxing Kong, Xiaoan Tang, Junda Zhang, Li Wang · Electronics Letters · 2016
Morse sets are more numerically stable than the conventional topology. However, the tracking of Morse sets is a missing part for the analysis of time‐dependent vector fields. This Letter proposes a novel tracking method of Morse sets for 2D bounded time‐dependent vector fields. The critical triangle is defined and detected by a robust combinatorial way. The forward and backward image of a critical triangle can be acquired by the mapping search strategy. Finally, the tracking method of Morse sets is proposed based on their images. Experimental results demonstrate the availability and effectiveness of the proposed method.