{"id":"https://openalex.org/W2003366641","doi":"https://doi.org/10.1007/s10851-005-4969-0","title":"Medial Axes and Mean Curvature Motion II: Singularities","display_name":"Medial Axes and Mean Curvature Motion II: Singularities","publication_year":2005,"publication_date":"2005-04-14","ids":{"openalex":"https://openalex.org/W2003366641","doi":"https://doi.org/10.1007/s10851-005-4969-0","mag":"2003366641"},"language":"en","primary_location":{"id":"doi:10.1007/s10851-005-4969-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-005-4969-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"},"type":"article","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/A5075003461","display_name":"Ralph Teixeira","orcid":null},"institutions":[{"id":"https://openalex.org/I141883831","display_name":"Instituto Nacional de Matem\u00e1tica Pura e Aplicada","ror":"https://ror.org/028caqe42","country_code":"BR","type":"facility","lineage":["https://openalex.org/I141883831","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Ralph Costa Teixeira","raw_affiliation_strings":["Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brasil","Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#"],"affiliations":[{"raw_affiliation_string":"Instituto de Matematica Pura e Aplicada, Rio de Janeiro, Brasil","institution_ids":["https://openalex.org/I141883831"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brasil#TAB#","institution_ids":["https://openalex.org/I141883831"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075003461"],"corresponding_institution_ids":["https://openalex.org/I141883831"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.4702,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.58719878,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"1","first_page":"87","last_page":"105"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.738360583782196},{"id":"https://openalex.org/keywords/gravitational-singularity","display_name":"Gravitational singularity","score":0.6651799082756042},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.6518855094909668},{"id":"https://openalex.org/keywords/singularity","display_name":"Singularity","score":0.593334972858429},{"id":"https://openalex.org/keywords/medial-axis","display_name":"Medial axis","score":0.5885166525840759},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5729120373725891},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.5467509031295776},{"id":"https://openalex.org/keywords/symmetry","display_name":"Symmetry (geometry)","score":0.5266264081001282},{"id":"https://openalex.org/keywords/screw-axis","display_name":"Screw axis","score":0.48016446828842163},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4063964784145355},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28328952193260193},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.2586138844490051}],"concepts":[{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.738360583782196},{"id":"https://openalex.org/C12843","wikidata":"https://www.wikidata.org/wiki/Q201721","display_name":"Gravitational singularity","level":2,"score":0.6651799082756042},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.6518855094909668},{"id":"https://openalex.org/C16171025","wikidata":"https://www.wikidata.org/wiki/Q863349","display_name":"Singularity","level":2,"score":0.593334972858429},{"id":"https://openalex.org/C185877587","wikidata":"https://www.wikidata.org/wiki/Q1757407","display_name":"Medial axis","level":2,"score":0.5885166525840759},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5729120373725891},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.5467509031295776},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.5266264081001282},{"id":"https://openalex.org/C120568717","wikidata":"https://www.wikidata.org/wiki/Q7439094","display_name":"Screw axis","level":2,"score":0.48016446828842163},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4063964784145355},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28328952193260193},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2586138844490051}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10851-005-4969-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10851-005-4969-0","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1480756662","https://openalex.org/W1498500832","https://openalex.org/W1553761880","https://openalex.org/W2000402253","https://openalex.org/W2055197673","https://openalex.org/W2056992872","https://openalex.org/W2077931785","https://openalex.org/W2082052570","https://openalex.org/W2087290026","https://openalex.org/W2161642755","https://openalex.org/W2164741953","https://openalex.org/W2318248704","https://openalex.org/W2488120246","https://openalex.org/W2505463522","https://openalex.org/W3022122637","https://openalex.org/W3159914786","https://openalex.org/W4238332724","https://openalex.org/W4247031325"],"related_works":["https://openalex.org/W2726339783","https://openalex.org/W2095039895","https://openalex.org/W2022135995","https://openalex.org/W1668363177","https://openalex.org/W4302011306","https://openalex.org/W2022448890","https://openalex.org/W2963052782","https://openalex.org/W1966148554","https://openalex.org/W2148110192","https://openalex.org/W2951543590"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}