---
OA_type: closed access
_id: '21516'
abstract:
- lang: eng
  text: The notion of elliptic or ellipsoidal conformal equivalent structure is introduced
    to model rough surface topography by use of convex homogenized shapes. The method
    is based on classical stereological results dealing with the relation between
    the number of intersections of an object with a set of parallel straight lines.
    The approach leads to an algorithm comparing the number of intercepts on both
    sampled surfaces and homogenized shapes selected for modeling. Some applications
    using the comparative values of the parameters of the homogenized structures are
    presented in this paper.
article_processing_charge: No
article_type: original
author:
- first_name: Charles
  full_name: Roques-Carmes, Charles
  id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  last_name: Roques-Carmes
- first_name: N.
  full_name: Bodin, N.
  last_name: Bodin
- first_name: G.
  full_name: Monteil, G.
  last_name: Monteil
- first_name: J.F.
  full_name: Quiniou, J.F.
  last_name: Quiniou
citation:
  ama: 'Roques-Carmes C, Bodin N, Monteil G, Quiniou JF. Description of rough surfaces
    using conformal equivalent structure concept: Part 1. Stereological approach.
    <i>Wear</i>. 2001;248(1-2):82-91. doi:<a href="https://doi.org/10.1016/s0043-1648(00)00562-7">10.1016/s0043-1648(00)00562-7</a>'
  apa: 'Roques-Carmes, C., Bodin, N., Monteil, G., &#38; Quiniou, J. F. (2001). Description
    of rough surfaces using conformal equivalent structure concept: Part 1. Stereological
    approach. <i>Wear</i>. Elsevier. <a href="https://doi.org/10.1016/s0043-1648(00)00562-7">https://doi.org/10.1016/s0043-1648(00)00562-7</a>'
  chicago: 'Roques-Carmes, Charles, N. Bodin, G. Monteil, and J.F. Quiniou. “Description
    of Rough Surfaces Using Conformal Equivalent Structure Concept: Part 1. Stereological
    Approach.” <i>Wear</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/s0043-1648(00)00562-7">https://doi.org/10.1016/s0043-1648(00)00562-7</a>.'
  ieee: 'C. Roques-Carmes, N. Bodin, G. Monteil, and J. F. Quiniou, “Description of
    rough surfaces using conformal equivalent structure concept: Part 1. Stereological
    approach,” <i>Wear</i>, vol. 248, no. 1–2. Elsevier, pp. 82–91, 2001.'
  ista: 'Roques-Carmes C, Bodin N, Monteil G, Quiniou JF. 2001. Description of rough
    surfaces using conformal equivalent structure concept: Part 1. Stereological approach.
    Wear. 248(1–2), 82–91.'
  mla: 'Roques-Carmes, Charles, et al. “Description of Rough Surfaces Using Conformal
    Equivalent Structure Concept: Part 1. Stereological Approach.” <i>Wear</i>, vol.
    248, no. 1–2, Elsevier, 2001, pp. 82–91, doi:<a href="https://doi.org/10.1016/s0043-1648(00)00562-7">10.1016/s0043-1648(00)00562-7</a>.'
  short: C. Roques-Carmes, N. Bodin, G. Monteil, J.F. Quiniou, Wear 248 (2001) 82–91.
date_created: 2026-03-30T12:22:47Z
date_published: 2001-03-01T00:00:00Z
date_updated: 2026-04-15T13:21:44Z
day: '01'
ddc:
- '530'
doi: 10.1016/s0043-1648(00)00562-7
extern: '1'
fulldoi: https://doi.org/10.1016/s0043-1648(00)00562-7
intvolume: '       248'
issue: 1-2
keyword:
- Rough surface topography
- Stereology
- Algorithm
- Equivalent structure concept
language:
- iso: eng
month: '03'
oa_version: None
page: 82-91
publication: Wear
publication_identifier:
  eissn:
  - 1873-2577
  issn:
  - 0043-1648
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Description of rough surfaces using conformal equivalent structure concept:
  Part 1. Stereological approach'
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 248
year: '2001'
...
---
OA_type: closed access
_id: '21517'
abstract:
- lang: eng
  text: In our new approach, the notion of conformal equivalent structure is introduced
    by comparing the slope or gradient distributions of surface topography in 2D or
    3D mode, respectively. The stereological approach described in Section 2 is, thus,
    confirmed by the numerical one which is proposed in this paper. The approach emphasizes
    the viability of the modeling and the limits observed in some practical applications
    of the study of rough surfaces via different approximation methods. The few divergences
    which have been noticed may be explained by the introduction of parameters such
    as skewness and kurtosis.
article_processing_charge: No
article_type: original
author:
- first_name: Charles
  full_name: Roques-Carmes, Charles
  id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  last_name: Roques-Carmes
- first_name: N.
  full_name: Bodin, N.
  last_name: Bodin
- first_name: G.
  full_name: Monteil, G.
  last_name: Monteil
- first_name: J.F.
  full_name: Quiniou, J.F.
  last_name: Quiniou
citation:
  ama: 'Roques-Carmes C, Bodin N, Monteil G, Quiniou JF. Description of rough surfaces
    using conformal equivalent structure concept: Part 2. Numerical approach. <i>Wear</i>.
    2001;248(1-2):92-99. doi:<a href="https://doi.org/10.1016/s0043-1648(00)00563-9">10.1016/s0043-1648(00)00563-9</a>'
  apa: 'Roques-Carmes, C., Bodin, N., Monteil, G., &#38; Quiniou, J. F. (2001). Description
    of rough surfaces using conformal equivalent structure concept: Part 2. Numerical
    approach. <i>Wear</i>. Elsevier. <a href="https://doi.org/10.1016/s0043-1648(00)00563-9">https://doi.org/10.1016/s0043-1648(00)00563-9</a>'
  chicago: 'Roques-Carmes, Charles, N. Bodin, G. Monteil, and J.F. Quiniou. “Description
    of Rough Surfaces Using Conformal Equivalent Structure Concept: Part 2. Numerical
    Approach.” <i>Wear</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/s0043-1648(00)00563-9">https://doi.org/10.1016/s0043-1648(00)00563-9</a>.'
  ieee: 'C. Roques-Carmes, N. Bodin, G. Monteil, and J. F. Quiniou, “Description of
    rough surfaces using conformal equivalent structure concept: Part 2. Numerical
    approach,” <i>Wear</i>, vol. 248, no. 1–2. Elsevier, pp. 92–99, 2001.'
  ista: 'Roques-Carmes C, Bodin N, Monteil G, Quiniou JF. 2001. Description of rough
    surfaces using conformal equivalent structure concept: Part 2. Numerical approach.
    Wear. 248(1–2), 92–99.'
  mla: 'Roques-Carmes, Charles, et al. “Description of Rough Surfaces Using Conformal
    Equivalent Structure Concept: Part 2. Numerical Approach.” <i>Wear</i>, vol. 248,
    no. 1–2, Elsevier, 2001, pp. 92–99, doi:<a href="https://doi.org/10.1016/s0043-1648(00)00563-9">10.1016/s0043-1648(00)00563-9</a>.'
  short: C. Roques-Carmes, N. Bodin, G. Monteil, J.F. Quiniou, Wear 248 (2001) 92–99.
date_created: 2026-03-30T12:22:47Z
date_published: 2001-03-01T00:00:00Z
date_updated: 2026-04-15T12:28:09Z
day: '01'
doi: 10.1016/s0043-1648(00)00563-9
extern: '1'
fulldoi: https://doi.org/10.1016/s0043-1648(00)00563-9
intvolume: '       248'
issue: 1-2
keyword:
- Rough surface topography
- Equivalent structure concept
language:
- iso: eng
month: '03'
oa_version: None
page: 92-99
publication: Wear
publication_identifier:
  eissn:
  - 1873-2577
  issn:
  - 0043-1648
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Description of rough surfaces using conformal equivalent structure concept:
  Part 2. Numerical approach'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 248
year: '2001'
...