---
_id: '6767'
abstract:
- lang: eng
  text: "In the present paper we give a thorough analysis of two finite difference
    schemes for the Mean Curvature Motion and its affine variant, the Affine Morphological
    Scale Space, schemes introduced in the Image Processing framework. This analysis
    brings in a series of parameters that allow us to compute an accurate discrete
    evolution of curvature motions.\r\nThe choice of these parameters is based on
    intrinsic geometric properties of the evolution equations for linear, radial and
    elliptical functions. In the last part we present several examples, underlining
    the main advantages of the algorithms (the removal of pixelization effects and
    JPEG artifacts) as well as their major drawbacks (absence of contrast invariance
    and grid dependence). A detailed explanatory report, the ANSI C implementations
    and an on-line demo can be found at http://www.ipol.im/."
author:
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Adina
  full_name: Ciomaga, Adina
  last_name: Ciomaga
citation:
  ama: 'Mondelli M, Ciomaga A. On finite difference schemes for curvature motions.
    In: <i>Proceedings of the International Student Conference on Pure and Applied
    Mathematics</i>. Editura Universitãtii „Alexandru Ioan Cuza” Iasi; 2011:137-156.
    doi:<a href="https://doi.org/10.13140/2.1.1862.4646">10.13140/2.1.1862.4646</a>'
  apa: 'Mondelli, M., &#38; Ciomaga, A. (2011). On finite difference schemes for curvature
    motions. In <i>Proceedings of the International Student Conference on Pure and
    Applied Mathematics</i> (pp. 137–156). Iasi, Romania: Editura Universitãtii „Alexandru
    Ioan Cuza” Iasi. <a href="https://doi.org/10.13140/2.1.1862.4646">https://doi.org/10.13140/2.1.1862.4646</a>'
  chicago: Mondelli, Marco, and Adina Ciomaga. “On Finite Difference Schemes for Curvature
    Motions.” In <i>Proceedings of the International Student Conference on Pure and
    Applied Mathematics</i>, 137–56. Editura Universitãtii „Alexandru Ioan Cuza” Iasi,
    2011. <a href="https://doi.org/10.13140/2.1.1862.4646">https://doi.org/10.13140/2.1.1862.4646</a>.
  ieee: M. Mondelli and A. Ciomaga, “On finite difference schemes for curvature motions,”
    in <i>Proceedings of the International Student Conference on Pure and Applied
    Mathematics</i>, Iasi, Romania, 2011, pp. 137–156.
  ista: 'Mondelli M, Ciomaga A. 2011. On finite difference schemes for curvature motions.
    Proceedings of the International Student Conference on Pure and Applied Mathematics.
    ISCOPAM: International Student Conference on Pure and Applied Mathematics, 137–156.'
  mla: Mondelli, Marco, and Adina Ciomaga. “On Finite Difference Schemes for Curvature
    Motions.” <i>Proceedings of the International Student Conference on Pure and Applied
    Mathematics</i>, Editura Universitãtii „Alexandru Ioan Cuza” Iasi, 2011, pp. 137–56,
    doi:<a href="https://doi.org/10.13140/2.1.1862.4646">10.13140/2.1.1862.4646</a>.
  short: M. Mondelli, A. Ciomaga, in:, Proceedings of the International Student Conference
    on Pure and Applied Mathematics, Editura Universitãtii „Alexandru Ioan Cuza” Iasi,
    2011, pp. 137–156.
conference:
  end_date: 2010-07-16
  location: Iasi, Romania
  name: 'ISCOPAM: International Student Conference on Pure and Applied Mathematics'
  start_date: 2010-07-12
date_created: 2019-08-05T12:20:58Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T08:08:56Z
day: '01'
doi: 10.13140/2.1.1862.4646
extern: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 137-156
publication: Proceedings of the International Student Conference on Pure and Applied
  Mathematics
publication_identifier:
  isbn:
  - 978-973-703-602-5
publication_status: published
publisher: Editura Universitãtii „Alexandru Ioan Cuza” Iasi
quality_controlled: '1'
status: public
title: On finite difference schemes for curvature motions
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...