[{"quality_controlled":"1","extern":"1","date_created":"2026-03-30T12:22:47Z","ddc":["530"],"article_type":"original","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","author":[{"last_name":"Roques-Carmes","id":"e2e68fc9-6505-11ef-a541-eb4e72cc3e82","full_name":"Roques-Carmes, Charles","first_name":"Charles"},{"last_name":"Bodin","first_name":"N.","full_name":"Bodin, N."},{"full_name":"Monteil, G.","first_name":"G.","last_name":"Monteil"},{"first_name":"J.F.","full_name":"Quiniou, J.F.","last_name":"Quiniou"}],"language":[{"iso":"eng"}],"day":"01","publication":"Wear","_id":"21516","publisher":"Elsevier","oa_version":"None","article_processing_charge":"No","publication_status":"published","abstract":[{"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.","lang":"eng"}],"scopus_import":"1","fulldoi":"https://doi.org/10.1016/s0043-1648(00)00562-7","doi":"10.1016/s0043-1648(00)00562-7","date_updated":"2026-04-15T13:21:44Z","publication_identifier":{"issn":["0043-1648"],"eissn":["1873-2577"]},"volume":248,"page":"82-91","issue":"1-2","year":"2001","keyword":["Rough surface topography","Stereology","Algorithm","Equivalent structure concept"],"OA_type":"closed access","type":"journal_article","month":"03","status":"public","date_published":"2001-03-01T00:00:00Z","title":"Description of rough surfaces using conformal equivalent structure concept: Part 1. Stereological approach","intvolume":"       248","citation":{"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.","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>.","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.","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>","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."}},{"publication":"Wear","article_processing_charge":"No","oa_version":"None","_id":"21517","publisher":"Elsevier","language":[{"iso":"eng"}],"day":"01","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"last_name":"Roques-Carmes","id":"e2e68fc9-6505-11ef-a541-eb4e72cc3e82","full_name":"Roques-Carmes, Charles","first_name":"Charles"},{"first_name":"N.","full_name":"Bodin, N.","last_name":"Bodin"},{"first_name":"G.","full_name":"Monteil, G.","last_name":"Monteil"},{"last_name":"Quiniou","full_name":"Quiniou, J.F.","first_name":"J.F."}],"quality_controlled":"1","extern":"1","date_created":"2026-03-30T12:22:47Z","OA_type":"closed access","status":"public","type":"journal_article","month":"03","title":"Description of rough surfaces using conformal equivalent structure concept: Part 2. Numerical approach","date_published":"2001-03-01T00:00:00Z","citation":{"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>","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.","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>","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.","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.","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>."},"intvolume":"       248","date_updated":"2026-04-15T12:28:09Z","volume":248,"publication_identifier":{"eissn":["1873-2577"],"issn":["0043-1648"]},"year":"2001","issue":"1-2","keyword":["Rough surface topography","Equivalent structure concept"],"page":"92-99","publication_status":"published","scopus_import":"1","fulldoi":"https://doi.org/10.1016/s0043-1648(00)00563-9","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."}],"doi":"10.1016/s0043-1648(00)00563-9"}]