{"id":"https://openalex.org/W2042768171","doi":"https://doi.org/10.1142/s0218654305000773","title":"TETRAHEDRON TOPOLOGICAL CHARACTERIZATION WITH APPLICATION IN VOLUMETRIC RECONSTRUCTION","display_name":"TETRAHEDRON TOPOLOGICAL CHARACTERIZATION WITH APPLICATION IN VOLUMETRIC RECONSTRUCTION","publication_year":2005,"publication_date":"2005-12-01","ids":{"openalex":"https://openalex.org/W2042768171","doi":"https://doi.org/10.1142/s0218654305000773","mag":"2042768171"},"language":"en","primary_location":{"id":"doi:10.1142/s0218654305000773","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654305000773","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","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/A5011424640","display_name":"Lu\u00eds Gustavo Nonato","orcid":"https://orcid.org/0000-0002-8514-8033"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Luis Gustavo Nonato","raw_affiliation_strings":["University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075052095","display_name":"A. Castelo","orcid":"https://orcid.org/0000-0001-8009-4577"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio Castelo","raw_affiliation_strings":["University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004721056","display_name":"Jos\u00e9 Eduardo Prado Pires de Campos","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Eduardo Prado Pires de Campos","raw_affiliation_strings":["University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078080396","display_name":"Helton Hideraldo B\u00edscaro","orcid":"https://orcid.org/0000-0003-1565-1044"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Helton Hideraldo B\u00edscaro","raw_affiliation_strings":["University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066927815","display_name":"Rosane Minghim","orcid":"https://orcid.org/0000-0002-4799-8774"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosane Minghim","raw_affiliation_strings":["University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S\u00e3o Paulo","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2991,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59903564,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"11","issue":"02","first_page":"189","last_page":"215"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":0.9988999962806702,"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":0.9968000054359436,"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":0.9961000084877014,"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/tetrahedron","display_name":"Tetrahedron","score":0.8049089908599854},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.7490155100822449},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5121152400970459},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42126256227493286},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.2661259174346924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23178553581237793},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.1598852276802063},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1244257390499115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11199674010276794}],"concepts":[{"id":"https://openalex.org/C105239961","wikidata":"https://www.wikidata.org/wiki/Q160003","display_name":"Tetrahedron","level":2,"score":0.8049089908599854},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.7490155100822449},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5121152400970459},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42126256227493286},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.2661259174346924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23178553581237793},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.1598852276802063},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1244257390499115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11199674010276794}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218654305000773","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218654305000773","pdf_url":null,"source":{"id":"https://openalex.org/S68340538","display_name":"International Journal of Shape Modeling","issn_l":"0218-6543","issn":["0218-6543","1793-639X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Shape Modeling","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.5,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321675","display_name":"Empresa Brasileira de Pesquisa Agropecu\u00e1ria","ror":"https://ror.org/0482b5b22"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W269812687","https://openalex.org/W1496383623","https://openalex.org/W1603089724","https://openalex.org/W1659568777","https://openalex.org/W1968377959","https://openalex.org/W1968786458","https://openalex.org/W1975385221","https://openalex.org/W1980612250","https://openalex.org/W1981187594","https://openalex.org/W2008507659","https://openalex.org/W2014733370","https://openalex.org/W2050167630","https://openalex.org/W2053508167","https://openalex.org/W2059029870","https://openalex.org/W2078398051","https://openalex.org/W2098210391","https://openalex.org/W2101070257","https://openalex.org/W2102479738","https://openalex.org/W2111734174","https://openalex.org/W2147827640","https://openalex.org/W2168861590","https://openalex.org/W2486762503","https://openalex.org/W4240670390","https://openalex.org/W4244377938","https://openalex.org/W4300857373"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W3118783749","https://openalex.org/W2002583644","https://openalex.org/W3119989344","https://openalex.org/W2025402442","https://openalex.org/W2098990162","https://openalex.org/W1987870972","https://openalex.org/W2993813190","https://openalex.org/W2567351266"],"abstract_inverted_index":{"One":[0],"of":[1,4,10,27,68,85,100,116,120],"the":[2,8,25,98,101,112,124],"challenges":[3],"Volume":[5],"Modelling":[6],"is":[7,22,71,114],"definition":[9,55],"theoretical":[11],"frameworks":[12],"to":[13,20,40,93,136],"support":[14],"object":[15],"manipulation":[16],"and":[17,139],"representation.":[18],"Opposite":[19],"what":[21],"seen":[23],"in":[24],"field":[26],"surface":[28],"modelling,":[29],"few":[30],"satisfactory":[31],"tools":[32],"have":[33],"been":[34],"presented":[35],"that":[36,111],"ensure":[37],"topological":[38,64,76],"robustness":[39],"volumetric":[41,53],"models.":[42],"In":[43],"this":[44],"paper":[45],"we":[46],"offer":[47],"one":[48],"such":[49],"mathematical":[50],"framework":[51,104],"for":[52,105,126],"model":[54],"based":[56],"on":[57],"tetrahedral":[58],"meshes.":[59],"From":[60],"a":[61,66,127,133],"complete":[62],"tetrahedron":[63,79,102],"characterization,":[65],"set":[67],"Morse":[69],"Operators":[70],"given,":[72],"which":[73],"enable":[74],"global":[75],"control":[77],"during":[78],"addition":[80],"or":[81,132],"removal.":[82],"A":[83],"number":[84],"applications":[86],"can":[87],"be":[88],"envisaged,":[89],"from":[90,108],"geometrical":[91],"modelling":[92],"volume":[94,106],"reconstruction.":[95],"We":[96],"show":[97],"effectiveness":[99],"characterization":[103],"reconstruction":[107],"images,":[109],"showing":[110],"method":[113],"capable":[115],"handling":[117],"certain":[118],"types":[119],"noise":[121],"topologically":[122],"without":[123],"need":[125],"time":[128],"consuming":[129],"preprocessing":[130],"step,":[131],"post-processing":[134],"step":[135],"detect":[137],"cavities":[138],"holes.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}