---
_id: '3974'
abstract:
- lang: eng
  text: Generalizing the concept of a Reeb graph, the Reeb space of a multivariate
    continuous mapping identifies points of the domain that belong to a common component
    of the preimage of a point in the range. We study the local and global structure
    of this space for generic, piecewise linear mappings on a combinatorial manifold.
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: John
  full_name: Harer, John
  last_name: Harer
- first_name: Amit
  full_name: Patel, Amit
  id: 34A254A0-F248-11E8-B48F-1D18A9856A87
  last_name: Patel
citation:
  ama: 'Edelsbrunner H, Harer J, Patel A. Reeb spaces of piecewise linear mappings.
    In: <i>Proceedings of the Twenty-Fourth Annual Symposium on Computational Geometry</i>.
    Association for Computing Machinery; 2008:242-250. doi:<a href="https://doi.org/10.1145/1377676.1377720">10.1145/1377676.1377720</a>'
  apa: 'Edelsbrunner, H., Harer, J., &#38; Patel, A. (2008). Reeb spaces of piecewise
    linear mappings. In <i>Proceedings of the twenty-fourth annual symposium on Computational
    geometry</i> (pp. 242–250). College Park, MD, United States: Association for Computing
    Machinery. <a href="https://doi.org/10.1145/1377676.1377720">https://doi.org/10.1145/1377676.1377720</a>'
  chicago: Edelsbrunner, Herbert, John Harer, and Amit Patel. “Reeb Spaces of Piecewise
    Linear Mappings.” In <i>Proceedings of the Twenty-Fourth Annual Symposium on Computational
    Geometry</i>, 242–50. Association for Computing Machinery, 2008. <a href="https://doi.org/10.1145/1377676.1377720">https://doi.org/10.1145/1377676.1377720</a>.
  ieee: H. Edelsbrunner, J. Harer, and A. Patel, “Reeb spaces of piecewise linear
    mappings,” in <i>Proceedings of the twenty-fourth annual symposium on Computational
    geometry</i>, College Park, MD, United States, 2008, pp. 242–250.
  ista: 'Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings.
    Proceedings of the twenty-fourth annual symposium on Computational geometry. SCG:
    Symposium on Computational Geometry, 242–250.'
  mla: Edelsbrunner, Herbert, et al. “Reeb Spaces of Piecewise Linear Mappings.” <i>Proceedings
    of the Twenty-Fourth Annual Symposium on Computational Geometry</i>, Association
    for Computing Machinery, 2008, pp. 242–50, doi:<a href="https://doi.org/10.1145/1377676.1377720">10.1145/1377676.1377720</a>.
  short: H. Edelsbrunner, J. Harer, A. Patel, in:, Proceedings of the Twenty-Fourth
    Annual Symposium on Computational Geometry, Association for Computing Machinery,
    2008, pp. 242–250.
conference:
  end_date: 2008-06-11
  location: College Park, MD, United States
  name: 'SCG: Symposium on Computational Geometry'
  start_date: 2008-06-09
date_created: 2018-12-11T12:06:13Z
date_published: 2008-06-09T00:00:00Z
date_updated: 2026-05-29T09:01:13Z
day: '09'
doi: 10.1145/1377676.1377720
extern: '1'
language:
- iso: eng
month: '06'
oa_version: None
page: 242 - 250
publication: Proceedings of the twenty-fourth annual symposium on Computational geometry
publication_identifier:
  isbn:
  - '9781605580715'
publication_status: published
publisher: Association for Computing Machinery
publist_id: '2155'
status: public
title: Reeb spaces of piecewise linear mappings
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
year: '2008'
...