Open AccessTracking of Morse sets for 2D bounded time‐dependent vector fields
Author(s) -
Kong Longxing,
Tang Xiaoan,
Zhang Junda,
Wang Li
Publication year - 2016
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2015.4361
Subject(s) - morse code , bounded function , morse theory , discrete morse theory , tracking (education) , vector field , mathematics , image (mathematics) , topology (electrical circuits) , computer vision , algorithm , artificial intelligence , computer science , mathematical analysis , combinatorics , geometry , telecommunications , pedagogy , psychology
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.