{"id":"https://openalex.org/W2128796205","doi":"https://doi.org/10.1007/3-540-48236-9_7","title":"Reconciling Distance Functions and Level Sets","display_name":"Reconciling Distance Functions and Level Sets","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W2128796205","doi":"https://doi.org/10.1007/3-540-48236-9_7","mag":"2128796205"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-48236-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48236-9_7","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/A5027382066","display_name":"Jos\u00e9 Gabriel R. C. Gomes","orcid":"https://orcid.org/0000-0003-3242-023X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Gomes","raw_affiliation_strings":["I.N.R.I.A, BP. 93, 2004 Route des Lucioles, 06902 Sophia Antipolis Cedex, France","INRIA, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I.N.R.I.A, BP. 93, 2004 Route des Lucioles, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006464572","display_name":"Olivier Faugeras","orcid":"https://orcid.org/0000-0001-8363-1550"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Faugeras","raw_affiliation_strings":["I.N.R.I.A, BP. 93, 2004 Route des Lucioles, 06902 Sophia Antipolis Cedex, France","INRIA, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"I.N.R.I.A, BP. 93, 2004 Route des Lucioles, 06902 Sophia Antipolis Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"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":15.8705,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.99287589,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"70","last_page":"81"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9980000257492065,"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/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9980000257492065,"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/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9975000023841858,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/signed-distance-function","display_name":"Signed distance function","score":0.9188926219940186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.625470757484436},{"id":"https://openalex.org/keywords/euclidean-distance","display_name":"Euclidean distance","score":0.6174222826957703},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.6146558523178101},{"id":"https://openalex.org/keywords/level-set","display_name":"Level set (data structures)","score":0.5930745005607605},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5871732831001282},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5582312941551208},{"id":"https://openalex.org/keywords/distance-transform","display_name":"Distance transform","score":0.5493096113204956},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.49649888277053833},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.44792744517326355},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3664037585258484},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3352471590042114},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3058224618434906},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25573939085006714},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2528165280818939},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16797158122062683},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10500511527061462}],"concepts":[{"id":"https://openalex.org/C71169176","wikidata":"https://www.wikidata.org/wiki/Q7512907","display_name":"Signed distance function","level":2,"score":0.9188926219940186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.625470757484436},{"id":"https://openalex.org/C120174047","wikidata":"https://www.wikidata.org/wiki/Q847073","display_name":"Euclidean distance","level":2,"score":0.6174222826957703},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6146558523178101},{"id":"https://openalex.org/C153008295","wikidata":"https://www.wikidata.org/wiki/Q6535093","display_name":"Level set (data structures)","level":2,"score":0.5930745005607605},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5871732831001282},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5582312941551208},{"id":"https://openalex.org/C73621898","wikidata":"https://www.wikidata.org/wiki/Q2940504","display_name":"Distance transform","level":3,"score":0.5493096113204956},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.49649888277053833},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.44792744517326355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3664037585258484},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3352471590042114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3058224618434906},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25573939085006714},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2528165280818939},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16797158122062683},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10500511527061462},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-48236-9_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48236-9_7","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1483079458","https://openalex.org/W1498500832","https://openalex.org/W1553761880","https://openalex.org/W1845536947","https://openalex.org/W1887328115","https://openalex.org/W1973481688","https://openalex.org/W1977946246","https://openalex.org/W1991113069","https://openalex.org/W1994875376","https://openalex.org/W2003166268","https://openalex.org/W2056528953","https://openalex.org/W2077246452","https://openalex.org/W2082052570","https://openalex.org/W2087087701","https://openalex.org/W2088114053","https://openalex.org/W2104095591","https://openalex.org/W2109011174","https://openalex.org/W2113521994","https://openalex.org/W2116737017","https://openalex.org/W2128949314","https://openalex.org/W2132363464","https://openalex.org/W2134820502","https://openalex.org/W2139936470","https://openalex.org/W2149184914","https://openalex.org/W2164741953","https://openalex.org/W3022122637","https://openalex.org/W3211330693","https://openalex.org/W4230982142","https://openalex.org/W4256625838","https://openalex.org/W4293079168"],"related_works":["https://openalex.org/W2389652943","https://openalex.org/W2368150111","https://openalex.org/W1964461679","https://openalex.org/W2377107237","https://openalex.org/W2028800488","https://openalex.org/W2351304572","https://openalex.org/W2128796205","https://openalex.org/W2080500294","https://openalex.org/W2085038463","https://openalex.org/W2382611446"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}