{"id":"https://openalex.org/W2949308598","doi":"https://doi.org/10.1186/s13173-019-0086-6","title":"An extended triangulation to the Marching Cubes 33 algorithm","display_name":"An extended triangulation to the Marching Cubes 33 algorithm","publication_year":2019,"publication_date":"2019-06-20","ids":{"openalex":"https://openalex.org/W2949308598","doi":"https://doi.org/10.1186/s13173-019-0086-6","mag":"2949308598"},"language":"en","primary_location":{"id":"doi:10.1186/s13173-019-0086-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13173-019-0086-6","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1186/s13173-019-0086-6","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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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/10.1186/s13173-019-0086-6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018364985","display_name":"Lis Cust\u00f3dio","orcid":"https://orcid.org/0000-0002-4570-5659"},"institutions":[{"id":"https://openalex.org/I40034438","display_name":"Universidade do Estado do Rio de Janeiro","ror":"https://ror.org/0198v2949","country_code":"BR","type":"education","lineage":["https://openalex.org/I40034438"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Lis Custodio","raw_affiliation_strings":["Computational Modeling Department, Polytechnic Institute at the Rio de Janeiro State University, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Computational Modeling Department, Polytechnic Institute at the Rio de Janeiro State University, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I40034438"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073799052","display_name":"Sin\u00e9sio Pesco","orcid":"https://orcid.org/0000-0002-1864-7828"},"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":"Sinesio Pesco","raw_affiliation_strings":["Department of Mathematics, Pontificial Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pontificial Catholic University of Rio de Janeiro, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003584200","display_name":"Claudio Silva","orcid":"https://orcid.org/0000-0003-2452-2295"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claudio Silva","raw_affiliation_strings":["Computer Science and Engineering Department, New York University, New York City, USA"],"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department, New York University, New York City, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018364985"],"corresponding_institution_ids":["https://openalex.org/I40034438"],"apc_list":null,"apc_paid":null,"fwci":9.65,"has_fulltext":true,"cited_by_count":26,"citation_normalized_percentile":{"value":0.97846154,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"25","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.991599977016449,"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"}},{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9908999800682068,"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/marching-cubes","display_name":"Marching cubes","score":0.9192427396774292},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.7886475324630737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6412566900253296},{"id":"https://openalex.org/keywords/fast-marching-method","display_name":"Fast marching method","score":0.4699440598487854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4421175420284271},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.22551986575126648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1862412989139557},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09830573201179504},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.07503202557563782}],"concepts":[{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.9192427396774292},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.7886475324630737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6412566900253296},{"id":"https://openalex.org/C17866373","wikidata":"https://www.wikidata.org/wiki/Q5437042","display_name":"Fast marching method","level":2,"score":0.4699440598487854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4421175420284271},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.22551986575126648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1862412989139557},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09830573201179504},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.07503202557563782}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s13173-019-0086-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13173-019-0086-6","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1186/s13173-019-0086-6","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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Brazilian Computer Society","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3f5ae11bab854fd1b2d43bb4bead9292","is_oa":true,"landing_page_url":"https://doaj.org/article/3f5ae11bab854fd1b2d43bb4bead9292","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the Brazilian Computer Society, Vol 25, Iss 1, Pp 1-18 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s13173-019-0086-6","is_oa":true,"landing_page_url":"https://doi.org/10.1186/s13173-019-0086-6","pdf_url":"https://journal-bcs.springeropen.com/track/pdf/10.1186/s13173-019-0086-6","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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","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":0.4000000059604645,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949308598.pdf","grobid_xml":"https://content.openalex.org/works/W2949308598.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W66831763","https://openalex.org/W75552375","https://openalex.org/W106036368","https://openalex.org/W120859022","https://openalex.org/W1496383623","https://openalex.org/W2010780139","https://openalex.org/W2039910758","https://openalex.org/W2045468524","https://openalex.org/W2046013126","https://openalex.org/W2050995940","https://openalex.org/W2051659264","https://openalex.org/W2068779666","https://openalex.org/W2083461908","https://openalex.org/W2106073588","https://openalex.org/W2131292783","https://openalex.org/W2139837730","https://openalex.org/W2150679149","https://openalex.org/W2154214562","https://openalex.org/W2156038957","https://openalex.org/W2229412420","https://openalex.org/W2486762503","https://openalex.org/W2489915929","https://openalex.org/W2914096475","https://openalex.org/W4233857083","https://openalex.org/W4250454039"],"related_works":["https://openalex.org/W2142336067","https://openalex.org/W2009636610","https://openalex.org/W1924462994","https://openalex.org/W2084001793","https://openalex.org/W4296200266","https://openalex.org/W1991029432","https://openalex.org/W2399245773","https://openalex.org/W2147274096","https://openalex.org/W2779816701","https://openalex.org/W2123933854"],"abstract_inverted_index":{"The":[0,103],"Marching":[1,56,64,73],"Cubes":[2,57,65,74],"algorithm":[3,59,66],"is":[4,27,36],"arguably":[5],"the":[6,55,63,77,80,93,101,106,123,128,131,134],"most":[7],"popular":[8],"isosurface":[9],"extraction":[10],"algorithm.":[11],"Since":[12],"its":[13,96,139],"inception,":[14],"two":[15],"problems":[16],"have":[17],"lingered,":[18],"namely,":[19],"triangle":[20,41],"quality":[21,42,129],"and":[22,43,89,100],"topology":[23,34,140],"correctness.":[24],"Although":[25],"there":[26],"an":[28,51,116],"extensive":[29],"literature":[30],"to":[31,92,126],"solve":[32],"them,":[33],"correctness":[35],"achieved":[37],"in":[38,133],"detriment":[39],"of":[40,54,62,105,118,130],"vice":[44],"versa.":[45],"In":[46,76],"this":[47],"paper,":[48],"we":[49,121],"present":[50],"extended":[52],"version":[53],"33":[58],"(a":[60],"variation":[61],"which":[67],"guarantees":[68],"topological":[69],"correctness),":[70],"called":[71],"Extended":[72],"33.":[75],"proposed":[78,124],"algorithm,":[79],"grid":[81,108],"vertex":[82,109],"are":[83],"labeled":[84],"with":[85],"\u201c+,\u201d":[86],"\u201c":[87],"\u2212,\u201d":[88],"\u201c=,\u201d":[90],"according":[91],"relationship":[94],"between":[95],"scalar":[97],"field":[98],"value":[99],"isovalue.":[102],"inclusion":[104],"\u201c=\u201d":[107],"label":[110],"naturally":[111],"avoids":[112],"degenerate":[113],"triangles.":[114],"As":[115],"application":[117],"our":[119],"method,":[120],"use":[122],"triangulation":[125],"improve":[127],"triangles":[132],"generated":[135],"mesh":[136],"while":[137],"preserving":[138],"as":[141,143],"much":[142],"possible.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
