arXiv:2112.08053 [math.CA]AbstractReferencesReviewsResources
Discrete analog of the Jacobi set for vector fields
A. N. Adilkhanov, A. V. Pavlov, I. A. Taimanov
Published 2021-12-15Version 1
The Jacobi set is a useful descriptor of mutual behavior of functions defined on a common domain. We introduce the piecewise linear Jacobi set for general vector fields on simplicial complexes. This definition generalizes the definition of the Jacobi set for gradients of functions introduced by Edelsbrunner and Harer.
Comments: 12 pages
Journal: Computational Topology in Image Context, 1-11, Lecture Notes in Comput. Sci., 11382, Springer, Cham, 2019
Keywords: discrete analog, piecewise linear jacobi set, general vector fields, definition generalizes, mutual behavior
Tags: journal article
Related articles:
Discrete L'Hospital's rule
arXiv:1608.00801 [math.CA] (Published 2016-08-02)
On the link between finite differences and derivatives of polynomials
arXiv:2206.14653 [math.CA] (Published 2022-06-29)
Asymptotic analysis of Emden-Fowler type equation with an application to power flow models