{"id":"https://openalex.org/W3138205514","doi":"https://doi.org/10.1145/1276377.1276449","title":"Robust on-line computation of Reeb graphs","display_name":"Robust on-line computation of Reeb graphs","publication_year":2007,"publication_date":"2007-07-29","ids":{"openalex":"https://openalex.org/W3138205514","doi":"https://doi.org/10.1145/1276377.1276449","mag":"3138205514"},"language":"en","primary_location":{"id":"doi:10.1145/1276377.1276449","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276377.1276449","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","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/A5009460413","display_name":"Valerio Pascucci","orcid":"https://orcid.org/0000-0002-8877-2042"},"institutions":[{"id":"https://openalex.org/I908195249","display_name":"Carl Albert State College","ror":"https://ror.org/03eabnp32","country_code":"US","type":"education","lineage":["https://openalex.org/I908195249"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Valerio Pascucci","raw_affiliation_strings":["CASC - LLNL/CS-UC DAVIS"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CASC - LLNL/CS-UC DAVIS","institution_ids":["https://openalex.org/I908195249"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076800717","display_name":"Giorgio Scorzelli","orcid":"https://orcid.org/0000-0002-6263-2738"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Giorgio Scorzelli","raw_affiliation_strings":["CASC-LLNL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CASC-LLNL","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019902487","display_name":"Peer\u2010Timo Bremer","orcid":"https://orcid.org/0000-0003-4107-3831"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Peer-Timo Bremer","raw_affiliation_strings":["CASC-LLNL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CASC-LLNL","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062494091","display_name":"Ajith Mascarenhas","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ajith Mascarenhas","raw_affiliation_strings":["CASC-LLNL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CASC-LLNL","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":13.8432,"has_fulltext":false,"cited_by_count":177,"citation_normalized_percentile":{"value":0.99257595,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"26","issue":"3","first_page":"58","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.9976999759674072,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9908000230789185,"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/polygon-mesh","display_name":"Polygon mesh","score":0.6723482608795166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5779116153717041},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.540858268737793},{"id":"https://openalex.org/keywords/visualization","display_name":"Visualization","score":0.4944753646850586},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics","score":0.41887402534484863},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.41355395317077637},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.41341888904571533},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.41001302003860474},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3596358001232147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3573969006538391},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.22012904286384583},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17053067684173584},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1487923562526703}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.6723482608795166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5779116153717041},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.540858268737793},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.4944753646850586},{"id":"https://openalex.org/C77660652","wikidata":"https://www.wikidata.org/wiki/Q150971","display_name":"Computer graphics","level":2,"score":0.41887402534484863},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.41355395317077637},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.41341888904571533},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41001302003860474},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3596358001232147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3573969006538391},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.22012904286384583},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17053067684173584},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1487923562526703}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1276377.1276449","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276377.1276449","pdf_url":null,"source":{"id":"https://openalex.org/S185367456","display_name":"ACM Transactions on Graphics","issn_l":"0730-0301","issn":["0730-0301","1557-7368"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Graphics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1592919464","https://openalex.org/W1969437638","https://openalex.org/W1985873182","https://openalex.org/W1989646872","https://openalex.org/W2001064409","https://openalex.org/W2002211861","https://openalex.org/W2024913803","https://openalex.org/W2055992319","https://openalex.org/W2061634390","https://openalex.org/W2079429730","https://openalex.org/W2089982566","https://openalex.org/W2095326847","https://openalex.org/W2110228172","https://openalex.org/W2135609792","https://openalex.org/W2142767916","https://openalex.org/W2145347746","https://openalex.org/W2165939338","https://openalex.org/W3138447845","https://openalex.org/W4213048098"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2028455732","https://openalex.org/W4313703117","https://openalex.org/W2085564391","https://openalex.org/W2087496541","https://openalex.org/W2108615321","https://openalex.org/W1984758362","https://openalex.org/W2042049060","https://openalex.org/W1980956817"],"abstract_inverted_index":{"Reeb":[0,65,99,127,188],"graphs":[1,128,189],"are":[2,16],"a":[3,53,94,117,134],"fundamental":[4],"data":[5,119],"structure":[6,120],"for":[7,25,149],"understanding":[8],"and":[9,23,33,61,80,145,177,192],"representing":[10],"the":[11,29,40,64,98,107,165],"topology":[12],"of":[13,31,43,55,67,88,97,125,156,158],"shapes.":[14],"They":[15],"used":[17],"in":[18,36,76,82,196],"computer":[19],"graphics,":[20],"solid":[21],"modeling,":[22],"visualization":[24,44],"applications":[26],"ranging":[27,151],"from":[28,152],"computation":[30],"similarities":[32],"finding":[34],"defects":[35,195],"complex":[37],"models":[38,87],"to":[39,85,105,154,164,172,190,202],"automatic":[41],"selection":[42],"parameters.":[45],"We":[46,160],"introduce":[47],"an":[48],"on-line":[49],"algorithm":[50,73,163],"that":[51],"reads":[52],"stream":[54],"elements":[56,69],"(vertices,":[57],"triangles,":[58],"tetrahedra,":[59],"etc.)":[60],"continuously":[62],"maintains":[63],"graph":[66],"all":[68,130],"already":[70],"reed.":[71],"The":[72],"is":[74],"robust":[75],"handling":[77],"non-manifold":[78],"meshes":[79,150],"general":[81],"its":[83],"applicability":[84],"input":[86],"any":[89],"dimension.":[90],"Optionally,":[91],"we":[92,114,186],"construct":[93],"skeleton-like":[95],"embedding":[96],"graph,":[100],"and/or":[101],"remove":[102],"topological":[103,131,194],"noise":[104],"reduce":[106],"output":[108],"size.":[109],"For":[110],"interactive":[111],"multi-resolution":[112],"navigation":[113],"also":[115],"build":[116],"hierarchical":[118],"which":[121],"allows":[122],"real-time":[123],"extraction":[124],"approximated":[126],"containing":[129],"features":[132],"above":[133],"given":[135],"error":[136],"threshold.":[137],"Our":[138],"extensive":[139],"experiments":[140],"show":[141],"both":[142],"high":[143],"performance":[144],"practical":[146],"linear":[147],"scalability":[148],"thousands":[153],"hundreds":[155],"millions":[157],"triangles.":[159],"apply":[161],"our":[162],"largest,":[166],"most":[167],"general,":[168],"triangulated":[169],"surfaces":[170],"available":[171],"us,":[173],"including":[174,198],"3D,":[175],"4D":[176],"5D":[178],"simplicial":[179],"meshes.":[180],"To":[181],"demonstrate":[182],"one":[183],"important":[184],"application":[185],"use":[187],"find":[191],"highlight":[193],"meshes,":[197],"some":[199],"widely":[200],"believed":[201],"be":[203],"\"clean.\"":[204]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":15},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":16}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
