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Characterising Epithelial Tissues Using Persistent Entropy

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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

In this paper, we apply persistent entropy, a novel topological statistic, for characterization of images of epithelial tissues. We have found out that persistent entropy is able to summarize topological and geometric information encoded by \(\alpha \)-complexes and persistent homology. After using some statistical tests, we can guarantee the existence of significant differences in the studied tissues.

Partially supported by MINECO, FEDER/UE under grant MTM2015-67072-P. Authors names are listed in alphabetical order.

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Author information

Authors and Affiliations

  1. Departamento Matematica Aplicada I, Universidad de Sevilla, Campus Reina Mercedes, 41012, Sevilla, Spain

    N. Atienza, M. J. Jimenez & M. Soriano-Trigueros

  2. Departamento de Biología Celular, Universidad de Sevilla, Sevilla, Spain

    L. M. Escudero

  3. Instituto de Biomedicina de Sevilla (IBiS), Hospital Universitario Virgen del Rocio, CSIC, Universidad de Sevilla, 41013, Sevilla, Spain

    L. M. Escudero

Authors
  1. N. Atienza
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  2. L. M. Escudero
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  3. M. J. Jimenez
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  4. M. Soriano-Trigueros
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Corresponding author

Correspondence to M. J. Jimenez .

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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Atienza, N., Escudero, L.M., Jimenez, M.J., Soriano-Trigueros, M. (2019). Characterising Epithelial Tissues Using Persistent Entropy. 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_14

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  • DOI: https://doi.org/10.1007/978-3-030-10828-1_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-10827-4

  • Online ISBN: 978-3-030-10828-1

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