---
_id: '3781'
abstract:
- lang: eng
  text: We bound the difference in length of two curves in terms of their total curvatures
    and the Fréchet distance. The bound is independent of the dimension of the ambient
    Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and
    it generalizes a result by Fáry and Chakerian.
acknowledgement: Funded by Graduate Aid in Areas of National Need (GAANN) Fellowship.
article_processing_charge: No
author:
- first_name: Brittany Terese
  full_name: Fasy, Brittany Terese
  id: F65D502E-E68D-11E9-9252-C644099818F6
  last_name: Fasy
citation:
  ama: Fasy BT. The difference in length of curves in R^n. <i> Acta Scientiarum Mathematicarum</i>.
    2011;77(1-2):359-367.
  apa: Fasy, B. T. (2011). The difference in length of curves in R^n. <i> Acta Scientiarum
    Mathematicarum</i>. Springer Nature.
  chicago: Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” <i>
    Acta Scientiarum Mathematicarum</i>. Springer Nature, 2011.
  ieee: B. T. Fasy, “The difference in length of curves in R^n,” <i> Acta Scientiarum
    Mathematicarum</i>, vol. 77, no. 1–2. Springer Nature, pp. 359–367, 2011.
  ista: Fasy BT. 2011. The difference in length of curves in R^n.  Acta Scientiarum
    Mathematicarum. 77(1–2), 359–367.
  mla: Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” <i> Acta
    Scientiarum Mathematicarum</i>, vol. 77, no. 1–2, Springer Nature, 2011, pp. 359–67.
  short: B.T. Fasy,  Acta Scientiarum Mathematicarum 77 (2011) 359–367.
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T12:05:08Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2026-07-08T05:42:26Z
day: '01'
department:
- _id: HeEd
intvolume: '        77'
issue: 1-2
language:
- iso: eng
month: '01'
oa_version: None
page: 359 - 367
publication: ' Acta Scientiarum Mathematicarum'
publication_identifier:
  eissn:
  - 2064-8316
  issn:
  - 0001-6969
publication_status: published
publisher: Springer Nature
publist_id: '2446'
quality_controlled: '1'
status: public
title: The difference in length of curves in R^n
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 77
year: '2011'
...