{"id":"https://openalex.org/W3011815183","doi":"https://doi.org/10.1007/978-3-030-43120-4_3","title":"Reliable Computation of the Singularities of the Projection in $$\\mathbb R^3$$ of a Generic Surface of $$\\mathbb R^4$$","display_name":"Reliable Computation of the Singularities of the Projection in $$\\mathbb R^3$$ of a Generic Surface of $$\\mathbb R^4$$","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3011815183","doi":"https://doi.org/10.1007/978-3-030-43120-4_3","mag":"3011815183"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-43120-4_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-43120-4_3","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/A5074517866","display_name":"S\u00e9ny Diatta","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/I3133343326","display_name":"Ziguinchor University","ror":"https://ror.org/01xprs690","country_code":"SN","type":"education","lineage":["https://openalex.org/I3133343326"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR","SN"],"is_corresponding":false,"raw_author_name":"S\u00e9ny Diatta","raw_affiliation_strings":["University Assane Seck of Ziguinchor, Ziguinchor, Senegal","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Assane Seck of Ziguinchor, Ziguinchor, Senegal","institution_ids":["https://openalex.org/I3133343326"]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5105347955","display_name":"Guillaume Moroz","orcid":"https://orcid.org/0009-0003-8484-1287"},"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/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Guillaume Moroz","raw_affiliation_strings":["Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024458284","display_name":"Marc Pouget","orcid":"https://orcid.org/0000-0001-8085-4134"},"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/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Pouget","raw_affiliation_strings":["Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, 54000, Nancy, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I90183372","https://openalex.org/I4210121838"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06539235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"16","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9979000091552734,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.8079959154129028},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.7242234945297241},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.6820600032806396},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6271257996559143},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.557232677936554},{"id":"https://openalex.org/keywords/trigonometry","display_name":"Trigonometry","score":0.5514671206474304},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5447484254837036},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5114980936050415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5065344572067261},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.420840859413147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33404719829559326},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3159496784210205},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2758031487464905},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24942582845687866},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13472118973731995},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06670024991035461}],"concepts":[{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.8079959154129028},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.7242234945297241},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.6820600032806396},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6271257996559143},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.557232677936554},{"id":"https://openalex.org/C29001434","wikidata":"https://www.wikidata.org/wiki/Q8084","display_name":"Trigonometry","level":2,"score":0.5514671206474304},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5447484254837036},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5114980936050415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5065344572067261},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.420840859413147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33404719829559326},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3159496784210205},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2758031487464905},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24942582845687866},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13472118973731995},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06670024991035461}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-43120-4_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-43120-4_3","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":19,"referenced_works":["https://openalex.org/W144415574","https://openalex.org/W174792015","https://openalex.org/W1483874187","https://openalex.org/W1508391401","https://openalex.org/W1568281949","https://openalex.org/W1870383329","https://openalex.org/W1992284538","https://openalex.org/W2068403757","https://openalex.org/W2081766473","https://openalex.org/W2126816902","https://openalex.org/W2245094585","https://openalex.org/W2292886589","https://openalex.org/W2315753911","https://openalex.org/W2489192610","https://openalex.org/W2898123186","https://openalex.org/W3121402054","https://openalex.org/W4214769085","https://openalex.org/W4298392963","https://openalex.org/W6968588137"],"related_works":["https://openalex.org/W238609530","https://openalex.org/W2734192830","https://openalex.org/W4205377127","https://openalex.org/W3016395638","https://openalex.org/W4245687327","https://openalex.org/W1893285581","https://openalex.org/W1636163329","https://openalex.org/W4292947165","https://openalex.org/W3045121788","https://openalex.org/W2913252231"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
