---
_id: '1929'
abstract:
- lang: eng
  text: We propose an algorithm for the generalization of cartographic objects that
    can be used to represent maps on different scales.
acknowledgement: We would like to offer our special thanks to students of the Department
  of Mathematics of Demidov Yaroslavl State University A. A. Gorokhov and V. N. Knyazev
  for participation in developing the program and assistance in preparation of test
  data. This work was supported by grant 11.G34.31.0053 from the government of the
  Russian Federation.
article_processing_charge: No
article_type: original
author:
- first_name: V V
  full_name: Alexeev, V V
  last_name: Alexeev
- first_name: V G
  full_name: Bogaevskaya, V G
  last_name: Bogaevskaya
- first_name: M M
  full_name: Preobrazhenskaya, M M
  last_name: Preobrazhenskaya
- first_name: A Y
  full_name: Ukhalov, A Y
  last_name: Ukhalov
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Olga
  full_name: Yakimova, Olga
  last_name: Yakimova
citation:
  ama: Alexeev VV, Bogaevskaya VG, Preobrazhenskaya MM, Ukhalov AY, Edelsbrunner H,
    Yakimova O. An algorithm for cartographic generalization that preserves global
    topology. <i>Journal of Mathematical Sciences</i>. 2014;203(6):754-760. doi:<a
    href="https://doi.org/10.1007/s10958-014-2165-8">10.1007/s10958-014-2165-8</a>
  apa: Alexeev, V. V., Bogaevskaya, V. G., Preobrazhenskaya, M. M., Ukhalov, A. Y.,
    Edelsbrunner, H., &#38; Yakimova, O. (2014). An algorithm for cartographic generalization
    that preserves global topology. <i>Journal of Mathematical Sciences</i>. Springer.
    <a href="https://doi.org/10.1007/s10958-014-2165-8">https://doi.org/10.1007/s10958-014-2165-8</a>
  chicago: Alexeev, V V, V G Bogaevskaya, M M Preobrazhenskaya, A Y Ukhalov, Herbert
    Edelsbrunner, and Olga Yakimova. “An Algorithm for Cartographic Generalization
    That Preserves Global Topology.” <i>Journal of Mathematical Sciences</i>. Springer,
    2014. <a href="https://doi.org/10.1007/s10958-014-2165-8">https://doi.org/10.1007/s10958-014-2165-8</a>.
  ieee: V. V. Alexeev, V. G. Bogaevskaya, M. M. Preobrazhenskaya, A. Y. Ukhalov, H.
    Edelsbrunner, and O. Yakimova, “An algorithm for cartographic generalization that
    preserves global topology,” <i>Journal of Mathematical Sciences</i>, vol. 203,
    no. 6. Springer, pp. 754–760, 2014.
  ista: Alexeev VV, Bogaevskaya VG, Preobrazhenskaya MM, Ukhalov AY, Edelsbrunner
    H, Yakimova O. 2014. An algorithm for cartographic generalization that preserves
    global topology. Journal of Mathematical Sciences. 203(6), 754–760.
  mla: Alexeev, V. V., et al. “An Algorithm for Cartographic Generalization That Preserves
    Global Topology.” <i>Journal of Mathematical Sciences</i>, vol. 203, no. 6, Springer,
    2014, pp. 754–60, doi:<a href="https://doi.org/10.1007/s10958-014-2165-8">10.1007/s10958-014-2165-8</a>.
  short: V.V. Alexeev, V.G. Bogaevskaya, M.M. Preobrazhenskaya, A.Y. Ukhalov, H. Edelsbrunner,
    O. Yakimova, Journal of Mathematical Sciences 203 (2014) 754–760.
date_created: 2018-12-11T11:54:46Z
date_published: 2014-11-16T00:00:00Z
date_updated: 2022-05-24T10:39:06Z
day: '16'
department:
- _id: HeEd
doi: 10.1007/s10958-014-2165-8
intvolume: '       203'
issue: '6'
language:
- iso: eng
month: '11'
oa_version: None
page: 754 - 760
publication: Journal of Mathematical Sciences
publication_identifier:
  eissn:
  - 1573-8795
  issn:
  - 1072-3374
publication_status: published
publisher: Springer
publist_id: '5165'
quality_controlled: '1'
scopus_import: '1'
status: public
title: An algorithm for cartographic generalization that preserves global topology
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 203
year: '2014'
...