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Discrete Analog of the Jacobi Set for Vector Fields

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Computational Topology in Image Context (CTIC 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11382))

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Abstract

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.

This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (program 0115PK03029) and Russian Foundation for Basic Research (grant 15-01-01671a).

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References

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Author information

Authors and Affiliations

  1. National Laboratory “Astana”, Nazarbayev University, Kabanbay Batyr Ave. 53, Astana, 010000, Republic of Kazakhstan

    A. N. Adilkhanov

  2. North-Eastern Federal University, 677000, Yakutsk, Russia

    A. V. Pavlov

  3. Sobolev Institute of Mathematics, Novosibirsk State University, 630090, Novosibirsk, Russia

    I. A. Taimanov

Authors
  1. A. N. Adilkhanov
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  2. A. V. Pavlov
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  3. I. A. Taimanov
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Corresponding author

Correspondence to A. V. Pavlov .

Editor information

Editors and Affiliations

  1. Universidad de Málaga, Málaga, Spain

    Rebeca Marfil

  2. Universidad de Málaga, Málaga, Spain

    Mariletty Calderón

  3. University of Seville, Sevilla, Spain

    Fernando Díaz del Río

  4. University of Seville, Sevilla, Spain

    Pedro Real

  5. Universidad de Málaga, Málaga, Spain

    Antonio Bandera

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Adilkhanov, A.N., Pavlov, A.V., Taimanov, I.A. (2019). Discrete Analog of the Jacobi Set for Vector Fields. In: Marfil, R., Calderón, M., Díaz del Río, F., Real, P., Bandera, A. (eds) Computational Topology in Image Context. CTIC 2019. Lecture Notes in Computer Science(), vol 11382. Springer, Cham. https://doi.org/10.1007/978-3-030-10828-1_1

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  • DOI: https://doi.org/10.1007/978-3-030-10828-1_1

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10827-4

  • Online ISBN: 978-3-030-10828-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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