Discrete Analog of the Jacobi Set for Vector Fields

Discrete Analog of the Jacobi Set for Vector Fields Full article

Journal

Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349

Output data

Year: 2019, Volume: 11382, Pages: 1-11 Pages count : 11 DOI: 10.1007/978-3-030-10828-1_1

Tags

Jacobi set; Simplicial complex; Vector fields

Authors

Adilkhanov A.N. ¹ , Pavlov A.V. ² , Taimanov Iskander Asanovich ^3,4

Affiliations

1	Nazarbayev University
2	Северо-Восточный федеральный университет имени М.К. Аммосова
3	Sobolev Institute of Mathematics
4	Novosibirsk State University

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.

Adilkhanov A.N. , Pavlov A.V. , Taimanov I.A.
Discrete Analog of the Jacobi Set for Vector Fields
Lecture Notes in Computer Science. 2019. V.11382. P.1-11. DOI: 10.1007/978-3-030-10828-1_1 WOS Scopus OpenAlex

Published print:

Dec 22, 2018

Web of science:	WOS:000684199500001
Scopus:	2-s2.0-85061084233
OpenAlex:	W4289100524

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