{"id":"https://openalex.org/W1594020278","doi":"https://doi.org/10.1007/978-3-642-37067-0_19","title":"Integral Based Curvature Estimators in Digital Geometry","display_name":"Integral Based Curvature Estimators in Digital Geometry","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1594020278","doi":"https://doi.org/10.1007/978-3-642-37067-0_19","mag":"1594020278"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-37067-0_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-37067-0_19","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":"conference-paper","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/A5089992437","display_name":"David C\u0153urjolly","orcid":"https://orcid.org/0000-0003-3164-8697"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"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/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"David Coeurjolly","raw_affiliation_strings":["CNRS, INSA-Lyon, LIRIS, UMR5205, Universit\u00e9 de Lyon, F-69621, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, INSA-Lyon, LIRIS, UMR5205, Universit\u00e9 de Lyon, F-69621, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012786076","display_name":"Jacques\u2010Olivier Lachaud","orcid":"https://orcid.org/0000-0003-4236-2133"},"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/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques-Olivier Lachaud","raw_affiliation_strings":["CNRS, LAMA, UMR5127, Universit\u00e9 de Savoie, F-73776, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, LAMA, UMR5127, Universit\u00e9 de Savoie, F-73776, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I70900168"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008715645","display_name":"J\u00e9r\u00e9my Levallois","orcid":"https://orcid.org/0000-0001-7392-1351"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"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/I4210144844","display_name":"Laboratoire d\u2019Analyse et de Math\u00e9matiques Appliqu\u00e9es","ror":"https://ror.org/0581g8849","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I197681013","https://openalex.org/I4210141950","https://openalex.org/I4210144844","https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I4210155607","display_name":"Laboratoire d'Informatique en Images et Syst\u00e8mes d'Information","ror":"https://ror.org/04dv4he91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I1294671590","https://openalex.org/I188626449","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210155607","https://openalex.org/I48430043"]},{"id":"https://openalex.org/I70900168","display_name":"Universit\u00e9 Savoie Mont Blanc","ror":"https://ror.org/04gqg1a07","country_code":"FR","type":"education","lineage":["https://openalex.org/I70900168"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"J\u00e9r\u00e9my Levallois","raw_affiliation_strings":["CNRS, INSA-Lyon, LIRIS, UMR5205, Universit\u00e9 de Lyon, F-69621, France","CNRS, LAMA, UMR5127, Universit\u00e9 de Savoie, F-73776, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, INSA-Lyon, LIRIS, UMR5205, Universit\u00e9 de Lyon, F-69621, France","institution_ids":["https://openalex.org/I100532134","https://openalex.org/I1294671590","https://openalex.org/I4210155607"]},{"raw_affiliation_string":"CNRS, LAMA, UMR5127, Universit\u00e9 de Savoie, F-73776, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210144844","https://openalex.org/I70900168"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"215","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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":1.0,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9976000189781189,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9943000078201294,"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/curvature","display_name":"Curvature","score":0.7759103775024414},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.710818886756897},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5974110960960388},{"id":"https://openalex.org/keywords/geometry-processing","display_name":"Geometry processing","score":0.5404056310653687},{"id":"https://openalex.org/keywords/multigrid-method","display_name":"Multigrid method","score":0.5400053262710571},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5325518846511841},{"id":"https://openalex.org/keywords/mean-curvature","display_name":"Mean curvature","score":0.5309041738510132},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4889599084854126},{"id":"https://openalex.org/keywords/willmore-energy","display_name":"Willmore energy","score":0.4844829738140106},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.4768608510494232},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.4565952718257904},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40047022700309753},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3433228135108948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.326144814491272},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25558018684387207},{"id":"https://openalex.org/keywords/mean-curvature-flow","display_name":"Mean curvature flow","score":0.22665390372276306},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.20051255822181702}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.7759103775024414},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.710818886756897},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5974110960960388},{"id":"https://openalex.org/C2779521785","wikidata":"https://www.wikidata.org/wiki/Q5535529","display_name":"Geometry processing","level":3,"score":0.5404056310653687},{"id":"https://openalex.org/C137119250","wikidata":"https://www.wikidata.org/wiki/Q1413101","display_name":"Multigrid method","level":3,"score":0.5400053262710571},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5325518846511841},{"id":"https://openalex.org/C175017881","wikidata":"https://www.wikidata.org/wiki/Q1318998","display_name":"Mean curvature","level":3,"score":0.5309041738510132},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4889599084854126},{"id":"https://openalex.org/C39428390","wikidata":"https://www.wikidata.org/wiki/Q2581692","display_name":"Willmore energy","level":5,"score":0.4844829738140106},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.4768608510494232},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.4565952718257904},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40047022700309753},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3433228135108948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.326144814491272},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25558018684387207},{"id":"https://openalex.org/C127813850","wikidata":"https://www.wikidata.org/wiki/Q6803617","display_name":"Mean curvature flow","level":4,"score":0.22665390372276306},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.20051255822181702},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-37067-0_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-37067-0_19","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":23,"referenced_works":["https://openalex.org/W103814273","https://openalex.org/W1502301529","https://openalex.org/W1510586539","https://openalex.org/W1518341102","https://openalex.org/W1529509773","https://openalex.org/W1551002440","https://openalex.org/W1992930621","https://openalex.org/W2007417897","https://openalex.org/W2050909581","https://openalex.org/W2054322793","https://openalex.org/W2078380962","https://openalex.org/W2080728020","https://openalex.org/W2100104792","https://openalex.org/W2101716776","https://openalex.org/W2106994127","https://openalex.org/W2134690498","https://openalex.org/W2157653807","https://openalex.org/W2165868109","https://openalex.org/W2230518266","https://openalex.org/W2302806708","https://openalex.org/W2476802660","https://openalex.org/W2502221105","https://openalex.org/W4240767890"],"related_works":["https://openalex.org/W1537807642","https://openalex.org/W4297801169","https://openalex.org/W3212089664","https://openalex.org/W4206628919","https://openalex.org/W1984471738","https://openalex.org/W3127318789","https://openalex.org/W2612607012","https://openalex.org/W3037855741","https://openalex.org/W2226537123","https://openalex.org/W2066856754"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
