{"id":"https://openalex.org/W1929832589","doi":"https://doi.org/10.1007/978-3-540-85521-7_11","title":"Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling","display_name":"Transfinite Interpolation for Well-Definition in Error Analysis in Solid Modelling","publication_year":2008,"publication_date":"2008-08-05","ids":{"openalex":"https://openalex.org/W1929832589","doi":"https://doi.org/10.1007/978-3-540-85521-7_11","mag":"1929832589"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85521-7_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85521-7_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","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.9","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103466286","display_name":"Neil F. Stewart","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Neil F. Stewart","raw_affiliation_strings":["D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, C.P. 6128, Succ. CentreVille, Montr\u00e9al, Qc, H3C 3J7, Canada","D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada H3C 3J7#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, C.P. 6128, Succ. CentreVille, Montr\u00e9al, Qc, H3C 3J7, Canada","institution_ids":["https://openalex.org/I70931966"]},{"raw_affiliation_string":"D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada H3C 3J7#TAB#","institution_ids":["https://openalex.org/I70931966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020859178","display_name":"Malika Zidani","orcid":null},"institutions":[{"id":"https://openalex.org/I70931966","display_name":"Universit\u00e9 de Montr\u00e9al","ror":"https://ror.org/0161xgx34","country_code":"CA","type":"education","lineage":["https://openalex.org/I70931966"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Malika Zidani","raw_affiliation_strings":["D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, C.P. 6128, Succ. CentreVille, Montr\u00e9al, Qc, H3C 3J7, Canada","D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada H3C 3J7#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, C.P. 6128, Succ. CentreVille, Montr\u00e9al, Qc, H3C 3J7, Canada","institution_ids":["https://openalex.org/I70931966"]},{"raw_affiliation_string":"D\u00e9partement IRO, Universit\u00e9 de Montr\u00e9al, Montr\u00e9al, Canada H3C 3J7#TAB#","institution_ids":["https://openalex.org/I70931966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7325,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.88835384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"181","last_page":"192"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9921000003814697,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9868000149726868,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"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/subdivision","display_name":"Subdivision","score":0.6676387786865234},{"id":"https://openalex.org/keywords/transfinite-number","display_name":"Transfinite number","score":0.57497239112854},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5622809529304504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5513279438018799},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5172374844551086},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5036041140556335},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5005731582641602},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4697967767715454},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.45283836126327515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37420541048049927},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.29535695910453796},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.24736300110816956},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24228021502494812},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10668784379959106},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0858968198299408}],"concepts":[{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6676387786865234},{"id":"https://openalex.org/C147358099","wikidata":"https://www.wikidata.org/wiki/Q1069891","display_name":"Transfinite number","level":2,"score":0.57497239112854},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5622809529304504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5513279438018799},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5172374844551086},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5036041140556335},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5005731582641602},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4697967767715454},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.45283836126327515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37420541048049927},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.29535695910453796},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.24736300110816956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24228021502494812},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10668784379959106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0858968198299408},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-540-85521-7_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85521-7_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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.124.4017","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.124.4017","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iro.umontreal.ca/~stewart/dagstuhl09-02-06.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.88.9341","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.88.9341","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://drops.dagstuhl.de/opus/volltexte/2006/719/pdf/06021.StewartNeil.Paper.719.pdf","raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:719","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.9","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},{"id":"doi:10.4230/dagsemproc.06021.9","is_oa":true,"landing_page_url":"https://doi.org/10.4230/dagsemproc.06021.9","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:719","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.9","pdf_url":null,"source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"InProceedings"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W194952955","https://openalex.org/W575078097","https://openalex.org/W603166148","https://openalex.org/W619477062","https://openalex.org/W1548879090","https://openalex.org/W1562971193","https://openalex.org/W1566704245","https://openalex.org/W1977237800","https://openalex.org/W1981845593","https://openalex.org/W1988380958","https://openalex.org/W2031075370","https://openalex.org/W2032675578","https://openalex.org/W2036772717","https://openalex.org/W2045307598","https://openalex.org/W2066376935","https://openalex.org/W2083574922","https://openalex.org/W2086454967","https://openalex.org/W2086924628","https://openalex.org/W2109493262","https://openalex.org/W2119507812","https://openalex.org/W3148952111","https://openalex.org/W4205649593","https://openalex.org/W4255596505"],"related_works":["https://openalex.org/W2089968568","https://openalex.org/W2048273249","https://openalex.org/W2261099788","https://openalex.org/W4394657005","https://openalex.org/W2498880115","https://openalex.org/W1663013072","https://openalex.org/W3087796271","https://openalex.org/W2027178067","https://openalex.org/W4244083562","https://openalex.org/W2296482608"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
