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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
Categories: math.CA, math.GT
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