{"id":"https://openalex.org/W1803184608","doi":"https://doi.org/10.1007/3-540-45685-6_11","title":"Formalizing the Trading Theorem for the Classification of Surfaces","display_name":"Formalizing the Trading Theorem for the Classification of Surfaces","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1803184608","doi":"https://doi.org/10.1007/3-540-45685-6_11","mag":"1803184608"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45685-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45685-6_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008522340","display_name":"Christophe Dehlinger","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210100283","display_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","ror":"https://ror.org/00k4e5n71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2801509770","https://openalex.org/I4210095849","https://openalex.org/I4210100283","https://openalex.org/I4210159245","https://openalex.org/I68947357"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Christophe Dehlinger","raw_affiliation_strings":["Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS 7005), Universit\u00e9 Louis-Pasteur de Strasbourg, Illkirch, France","Universit\u00e9 Louis-Pasteur de Strasbourg"],"affiliations":[{"raw_affiliation_string":"Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS 7005), Universit\u00e9 Louis-Pasteur de Strasbourg, Illkirch, France","institution_ids":["https://openalex.org/I4210100283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Louis-Pasteur de Strasbourg","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110245167","display_name":"Jean\u2010Fran\u00e7ois Dufourd","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100283","display_name":"Laboratoire des Sciences de l'Ing\u00e9nieur, de l'Informatique et de l'Imagerie","ror":"https://ror.org/00k4e5n71","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2801509770","https://openalex.org/I4210095849","https://openalex.org/I4210100283","https://openalex.org/I4210159245","https://openalex.org/I68947357"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Dufourd","raw_affiliation_strings":["Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS 7005), Universit\u00e9 Louis-Pasteur de Strasbourg, Illkirch, France","Universit\u00e9 Louis-Pasteur de Strasbourg"],"affiliations":[{"raw_affiliation_string":"Laboratoire des Sciences de l\u2019Image, de l\u2019Informatique et de la T\u00e9l\u00e9d\u00e9tection (UMR CNRS 7005), Universit\u00e9 Louis-Pasteur de Strasbourg, Illkirch, France","institution_ids":["https://openalex.org/I4210100283","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 Louis-Pasteur de Strasbourg","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008522340"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210100283"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.5044,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66579634,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"148","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6546472311019897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6475766897201538},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5588109493255615},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.4361770749092102},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.42803749442100525},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3844577670097351},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3674994707107544},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3082103729248047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24514520168304443},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11485007405281067},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07277104258537292}],"concepts":[{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6546472311019897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6475766897201538},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5588109493255615},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.4361770749092102},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.42803749442100525},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3844577670097351},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3674994707107544},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3082103729248047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24514520168304443},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11485007405281067},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07277104258537292},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45685-6_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45685-6_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W47661094","https://openalex.org/W188036971","https://openalex.org/W1522735064","https://openalex.org/W1555504576","https://openalex.org/W1579444899","https://openalex.org/W1587012427","https://openalex.org/W1867436870","https://openalex.org/W2036509143","https://openalex.org/W2038089707","https://openalex.org/W2066621462","https://openalex.org/W2067558609","https://openalex.org/W4235282062","https://openalex.org/W4255459450","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1999021815","https://openalex.org/W1524804222","https://openalex.org/W2213028572","https://openalex.org/W2906661256","https://openalex.org/W3026697850","https://openalex.org/W2888810578","https://openalex.org/W4289666903","https://openalex.org/W1965882341","https://openalex.org/W3193491671","https://openalex.org/W2160478595"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}