{"id":"https://openalex.org/W2155858253","doi":"https://doi.org/10.1007/bf03194253","title":"Regularized implicit surface reconstruction from points and normals","display_name":"Regularized implicit surface reconstruction from points and normals","publication_year":2007,"publication_date":"2007-12-01","ids":{"openalex":"https://openalex.org/W2155858253","doi":"https://doi.org/10.1007/bf03194253","mag":"2155858253"},"language":"en","primary_location":{"id":"doi:10.1007/bf03194253","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf03194253","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/BF03194253","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/BF03194253","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066805524","display_name":"Boris Mederos","orcid":"https://orcid.org/0000-0002-0131-7566"},"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":"B. Mederos","raw_affiliation_strings":["Laborat\u00f3rio Visgraf, Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Visgraf, Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049830796","display_name":"Marcos Lage","orcid":"https://orcid.org/0000-0003-3868-8886"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"M. Lage","raw_affiliation_strings":["Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074979236","display_name":"S. Arouca","orcid":null},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"S. Arouca","raw_affiliation_strings":["Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010430831","display_name":"Fabiano Petronetto","orcid":"https://orcid.org/0000-0003-1940-5406"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"F. Petronetto","raw_affiliation_strings":["Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015241528","display_name":"Luiz Velho","orcid":"https://orcid.org/0000-0001-5489-4909"},"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":false,"raw_author_name":"L. Velho","raw_affiliation_strings":["Laborat\u00f3rio Visgraf, Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Visgraf, Instituto de Matem\u00e1tica Pura e Aplicada, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I141883831"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064293832","display_name":"Thomas Lewiner","orcid":"https://orcid.org/0000-0001-9518-6423"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"T. Lewiner","raw_affiliation_strings":["Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000881869","display_name":"H\u00e9lio Lopes","orcid":"https://orcid.org/0000-0003-4584-1455"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"H. Lopes","raw_affiliation_strings":["Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Laborat\u00f3rio Matm\u00eddia \u2014 Departamento de Matem\u00e1tica, Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5066805524"],"corresponding_institution_ids":["https://openalex.org/I141883831"],"apc_list":null,"apc_paid":null,"fwci":0.4285,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69271469,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"4","first_page":"7","last_page":"15"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10719","display_name":"3D Shape Modeling and Analysis","score":0.9991999864578247,"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":0.9991999864578247,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9990000128746033,"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/T12549","display_name":"Image and Object Detection Techniques","score":0.9961000084877014,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/partition-of-unity","display_name":"Partition of unity","score":0.6796857118606567},{"id":"https://openalex.org/keywords/ridge","display_name":"Ridge","score":0.6007461547851562},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5941445231437683},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.5816326141357422},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5399167537689209},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5388132929801941},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5386857986450195},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.5206179618835449},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.510104238986969},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4955192804336548},{"id":"https://openalex.org/keywords/surface-reconstruction","display_name":"Surface reconstruction","score":0.4658786654472351},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.4250234365463257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4156739413738251},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3515021502971649},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.28711071610450745},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.28098076581954956},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2130165994167328},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10944375395774841},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07844781875610352},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.06852275133132935},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06264957785606384}],"concepts":[{"id":"https://openalex.org/C102205669","wikidata":"https://www.wikidata.org/wiki/Q191690","display_name":"Partition of unity","level":3,"score":0.6796857118606567},{"id":"https://openalex.org/C32277403","wikidata":"https://www.wikidata.org/wiki/Q740445","display_name":"Ridge","level":2,"score":0.6007461547851562},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5941445231437683},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.5816326141357422},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5399167537689209},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5388132929801941},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5386857986450195},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.5206179618835449},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.510104238986969},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4955192804336548},{"id":"https://openalex.org/C20885615","wikidata":"https://www.wikidata.org/wiki/Q825595","display_name":"Surface reconstruction","level":3,"score":0.4658786654472351},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.4250234365463257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4156739413738251},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3515021502971649},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.28711071610450745},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.28098076581954956},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2130165994167328},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10944375395774841},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07844781875610352},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.06852275133132935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06264957785606384},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/bf03194253","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf03194253","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/BF03194253","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},{"id":"pmh:oai:scielo:S0104-65002007000400002","is_oa":true,"landing_page_url":"http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0104-65002007000400002","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society  v.13 n.4 2007","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.68.6079","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.68.6079","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.visgraf.impa.br/Data/RefBib/PS_PDF/jbcs07/rrmpu_jbcs.pdf","raw_type":"text"},{"id":"pmh:oai:americanae.aecid.es:2703858","is_oa":true,"landing_page_url":"http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-65002007000400002","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Brazilian Computer Society v.13 n.4 2007","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/bf03194253","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf03194253","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1007/BF03194253","source":{"id":"https://openalex.org/S69801987","display_name":"Journal of the Brazilian Computer Society","issn_l":"0104-6500","issn":["0104-6500","1678-4804"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G120275728","display_name":null,"funder_award_id":"Univer","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G146285273","display_name":null,"funder_award_id":"FAPERJ","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G3457165266","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322749","funder_display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro"},{"id":"https://openalex.org/G3601516360","display_name":null,"funder_award_id":"Brazil","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5079005330","display_name":null,"funder_award_id":"support","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5722462528","display_name":null,"funder_award_id":"Universal 02/2006","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322749","display_name":"Funda\u00e7\u00e3o Carlos Chagas Filho de Amparo \u00e0 Pesquisa do Estado do Rio de Janeiro","ror":"https://ror.org/03kk0s825"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2155858253.pdf","grobid_xml":"https://content.openalex.org/works/W2155858253.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1570095727","https://openalex.org/W1977758817","https://openalex.org/W1986049249","https://openalex.org/W2006213557","https://openalex.org/W2018039791","https://openalex.org/W2029041800","https://openalex.org/W2044532923","https://openalex.org/W2051735042","https://openalex.org/W2067088597","https://openalex.org/W2069585823","https://openalex.org/W2083461908","https://openalex.org/W2088352159","https://openalex.org/W2096941384","https://openalex.org/W2099953968","https://openalex.org/W2100794976","https://openalex.org/W2118507172","https://openalex.org/W2128012088","https://openalex.org/W2136165702","https://openalex.org/W2137531922","https://openalex.org/W2143892319","https://openalex.org/W2149348671","https://openalex.org/W2149659501","https://openalex.org/W2150712551","https://openalex.org/W2155346457","https://openalex.org/W2170167721","https://openalex.org/W2199460564","https://openalex.org/W2998100778","https://openalex.org/W3139516675","https://openalex.org/W6667436312","https://openalex.org/W6679324316"],"related_works":["https://openalex.org/W2951521427","https://openalex.org/W2883521284","https://openalex.org/W2327777031","https://openalex.org/W2051735042","https://openalex.org/W2533954325","https://openalex.org/W1999081819","https://openalex.org/W2352690124","https://openalex.org/W2372843886","https://openalex.org/W2163934434","https://openalex.org/W1980515286"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,35,45,51,66],"problem":[4],"of":[5,8,16,38,65,94,107],"surface":[6,31],"reconstruction":[7],"a":[9,13,26,62],"geometric":[10],"object":[11,52],"from":[12,104],"finite":[14],"set":[15,93],"sample":[17],"points":[18,95],"with":[19,98],"normals.":[20],"Our":[21,68],"contribution":[22],"is":[23],"to":[24,34,80],"present":[25],"new":[27,69],"scheme":[28,70],"for":[29,50],"implicit":[30],"reconstruction.":[32],"Similarly":[33],"multilevel":[36],"partition":[37],"unity":[39],"(MPU)":[40],"method":[41,88],"we":[42],"hierarchically":[43],"divide":[44],"domain":[46],"obtaining":[47,61],"local":[48,85],"approximation":[49],"on":[53,84,91],"each":[54],"part,":[55],"and":[56,74,96],"then":[57],"patch":[58],"all":[59],"together":[60],"global":[63],"description":[64],"object.":[67],"uses":[71],"ridge":[72],"regression":[73],"weighted":[75],"gradient":[76],"one":[77],"fitting":[78],"techniques":[79],"get":[81],"better":[82],"stability":[83],"approximations.":[86],"The":[87],"behaves":[89],"reasonably":[90],"sparse":[92],"data":[97],"holes":[99],"as":[100],"those":[101],"which":[102],"comes":[103],"3D":[105],"scanning":[106],"real":[108],"objects.":[109]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}