---
_id: '6768'
abstract:
- lang: eng
  text: The paper presents an algorithm that applies a stack filter simulating the
    Mean Curvature Motion equation via a finite difference scheme.
article_type: original
author:
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: Mondelli M. A finite difference scheme for the stack filter simulating the
    MCM. <i>Image Processing On Line</i>. 2013;3:68-111. doi:<a href="https://doi.org/10.5201/ipol.2013.53">10.5201/ipol.2013.53</a>
  apa: Mondelli, M. (2013). A finite difference scheme for the stack filter simulating
    the MCM. <i>Image Processing On Line</i>. Image Processing On Line. <a href="https://doi.org/10.5201/ipol.2013.53">https://doi.org/10.5201/ipol.2013.53</a>
  chicago: Mondelli, Marco. “A Finite Difference Scheme for the Stack Filter Simulating
    the MCM.” <i>Image Processing On Line</i>. Image Processing On Line, 2013. <a
    href="https://doi.org/10.5201/ipol.2013.53">https://doi.org/10.5201/ipol.2013.53</a>.
  ieee: M. Mondelli, “A finite difference scheme for the stack filter simulating the
    MCM,” <i>Image Processing On Line</i>, vol. 3. Image Processing On Line, pp. 68–111,
    2013.
  ista: Mondelli M. 2013. A finite difference scheme for the stack filter simulating
    the MCM. Image Processing On Line. 3, 68–111.
  mla: Mondelli, Marco. “A Finite Difference Scheme for the Stack Filter Simulating
    the MCM.” <i>Image Processing On Line</i>, vol. 3, Image Processing On Line, 2013,
    pp. 68–111, doi:<a href="https://doi.org/10.5201/ipol.2013.53">10.5201/ipol.2013.53</a>.
  short: M. Mondelli, Image Processing On Line 3 (2013) 68–111.
date_created: 2019-08-05T12:30:38Z
date_published: 2013-07-11T00:00:00Z
date_updated: 2021-01-12T08:08:56Z
day: '11'
ddc:
- '510'
doi: 10.5201/ipol.2013.53
extern: '1'
file:
- access_level: open_access
  checksum: 83b7d429bc248c6c461229d3504fb139
  content_type: application/pdf
  creator: dernst
  date_created: 2019-08-05T12:33:40Z
  date_updated: 2020-07-14T12:47:40Z
  file_id: '6769'
  file_name: 2013_IPOL_Mondelli.pdf
  file_size: 4306158
  relation: main_file
file_date_updated: 2020-07-14T12:47:40Z
has_accepted_license: '1'
intvolume: '         3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-sa/4.0/
month: '07'
oa: 1
oa_version: Published Version
page: 68-111
publication: Image Processing On Line
publication_identifier:
  issn:
  - 2105-1232
publication_status: published
publisher: Image Processing On Line
quality_controlled: '1'
status: public
title: A finite difference scheme for the stack filter simulating the MCM
tmp:
  image: /images/cc_by_nc_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode
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    BY-NC-SA 4.0)
  short: CC BY-NC-SA (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2013'
...
---
_id: '6749'
abstract:
- lang: eng
  text: This article refers to algorithms based on finite difference schemes for computing
    mean and affine curvature evolutions of digital images, introduced by Alvarez
    and Morel [L. Alvarez, J.M. Morel, “Formalization and computational aspects of
    image analysis”, Acta Numerica, pp. 159, 1994]. We discuss consistency, stability
    and convergence. Our analysis focuses on some possible choices of the parameters,
    choices that generate multiple variants in the implementations. Meaningful visual
    examples on how the algorithms actually work are provided.
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. Finite difference schemes for MCM and AMSS. <i>Image
    Processing On Line</i>. 2011;1:127-177. doi:<a href="https://doi.org/10.5201/ipol.2011.cm_fds">10.5201/ipol.2011.cm_fds</a>
  apa: Mondelli, M., &#38; Ciomaga, A. (2011). Finite difference schemes for MCM and
    AMSS. <i>Image Processing On Line</i>. IPOL Image Processing On Line. <a href="https://doi.org/10.5201/ipol.2011.cm_fds">https://doi.org/10.5201/ipol.2011.cm_fds</a>
  chicago: Mondelli, Marco, and Adina Ciomaga. “Finite Difference Schemes for MCM
    and AMSS.” <i>Image Processing On Line</i>. IPOL Image Processing On Line, 2011.
    <a href="https://doi.org/10.5201/ipol.2011.cm_fds">https://doi.org/10.5201/ipol.2011.cm_fds</a>.
  ieee: M. Mondelli and A. Ciomaga, “Finite difference schemes for MCM and AMSS,”
    <i>Image Processing On Line</i>, vol. 1. IPOL Image Processing On Line, pp. 127–177,
    2011.
  ista: Mondelli M, Ciomaga A. 2011. Finite difference schemes for MCM and AMSS. Image
    Processing On Line. 1, 127–177.
  mla: Mondelli, Marco, and Adina Ciomaga. “Finite Difference Schemes for MCM and
    AMSS.” <i>Image Processing On Line</i>, vol. 1, IPOL Image Processing On Line,
    2011, pp. 127–77, doi:<a href="https://doi.org/10.5201/ipol.2011.cm_fds">10.5201/ipol.2011.cm_fds</a>.
  short: M. Mondelli, A. Ciomaga, Image Processing On Line 1 (2011) 127–177.
date_created: 2019-07-31T09:44:24Z
date_published: 2011-09-13T00:00:00Z
date_updated: 2021-01-12T08:08:50Z
day: '13'
ddc:
- '000'
doi: 10.5201/ipol.2011.cm_fds
extern: '1'
file:
- access_level: open_access
  checksum: 910710811224c633202791e0c217d05d
  content_type: application/pdf
  creator: dernst
  date_created: 2019-08-01T06:34:21Z
  date_updated: 2020-07-14T12:47:39Z
  file_id: '6751'
  file_name: 2011_IPOL_Mondelli.pdf
  file_size: 2793903
  relation: main_file
file_date_updated: 2020-07-14T12:47:39Z
has_accepted_license: '1'
intvolume: '         1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 127-177
publication: Image Processing On Line
publication_identifier:
  issn:
  - 2105-1232
publication_status: published
publisher: IPOL Image Processing On Line
quality_controlled: '1'
status: public
title: Finite difference schemes for MCM and AMSS
tmp:
  image: /images/cc_by_nc_sa.png
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    BY-NC-SA 4.0)
  short: CC BY-NC-SA (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 1
year: '2011'
...
